Organizing and Visualizing Data.docx

Business Statistics for Business Organizing and Visualizing Data 1) Jared was working on a project to look at global warming and accessed an Internet site where he captured average global surface temperatures from 1866. Which of the four methods of data collection was he using? A) published sources B) experimentation C) surveying D) observation Answer: A 2) The British Airways Internet site provides a questionnaire instrument that can be answered electronically. Which of the four methods of data collection is involved when people complete the questionnaire? A) published sources B) experimentation C) surveying D) observation Answer: C 3) A marketing research firm, in conducting a comparative taste test, provided three types of peanut butter to a sample of households randomly selected within the state. Which of the four methods of data collection is involved when people are asked to compare the three types of peanut butter? A) published sources B) experimentation C) surveying D) observation Answer: B 4) Tim was planning for a meeting with his boss to discuss a raise in his annual salary. In preparation, he wanted to use the Consumer Price Index to determine the percentage increase in his real (inflation-adjusted) salary over the last three years. Which of the four methods of data collection was involved when he used the Consumer Price Index? A) published sources B) experimentation C) surveying D) observation Answer: A 5) Which of the four methods of data collection is involved when a person counts the number of cars passing designated locations on the Los Angeles freeway system? A) published sources B) experimentation C) surveying D) observation Answer: D 6) A statistics student found a reference in the campus library that contained the median family incomes for all 50 states. She would report her data collection method as A) a designed experiment. B) observational data. C) a random sample. D) a published source. Answer: D 7) The personnel director at a large company studied the eating habits of the company's employees. The director noted whether employees brought their own lunches to work, ate at the company cafeteria, or went out to lunch. The goal of the study was to improve the food service at the company cafeteria. This type of data collection would best be considered as A) an observational study. B) a designed experiment. C) a random sample. D) a quota sample. Answer: A 8) A study attempted to estimate the proportion of Florida residents who were willing to spend more tax dollars on protecting the beaches from environmental disasters. Twenty-five hundred Florida residents were surveyed. What type of data collection procedure was most likely used to collect the data for this study? A) a designed experiment B) a published source C) a random sample D) observational data Answer: C TABLE 2-1 An insurance company evaluates many numerical variables about a person before deciding on an appropriate rate for automobile insurance. A representative from a local insurance agency selected a random sample of insured drivers and recorded, X, the number of claims each made in the last three years, with the following results. X f 1 14 2 18 3 12 4 5 5 1 9) Referring to Table 2-1, how many drivers are represented in the sample? A) 5 B) 15 C) 18 D) 50 Answer: D Keywords: frequency distribution 10) Referring to Table 2-1, how many total claims are represented in the sample? A) 15 B) 50 C) 111 D) 250 Answer: C Keywords: interpretation, frequency distribution 11) A type of vertical bar chart in which the categories are plotted in the descending rank order of the magnitude of their frequencies is called a A) contingency table. B) Pareto chart. C) stem-and-leaf display. D) pie chart. Answer: B Keywords: Pareto chart TABLE 2-2 At a meeting of information systems officers for regional offices of a national company, a survey was taken to determine the number of employees the officers supervise in the operation of their departments, where X is the number of employees overseen by each information systems officer. X f 1 7 2 3 3 11 4 8 5 9 12) Referring to Table 2-2, how many regional offices are represented in the survey results? A) 5 B) 11 C) 15 D) 40 Answer: D Keywords: interpretation, frequency distribution 13) Referring to Table 2-2, across all of the regional offices, how many total employees were supervised by those surveyed? A) 15 B) 40 C) 127 D) 200 Answer: C Keywords: interpretation, frequency distribution 14) The width of each bar in a histogram corresponds to the A) differences between the boundaries of the class. B) number of observations in each class. C) midpoint of each class. D) percentage of observations in each class. Answer: A Keywords: frequency distribution TABLE 2-3 Every spring semester, the School of Business coordinates a luncheon with local business leaders for graduating seniors, their families, and friends. Corporate sponsorship pays for the lunches of each of the seniors, but students have to purchase tickets to cover the cost of lunches served to guests they bring with them. The following histogram represents the attendance at the senior luncheon, where X is the number of guests each graduating senior invited to the luncheon and f is the number of graduating seniors in each category. 15) Referring to the histogram from Table 2-3, how many graduating seniors attended the luncheon? A) 4 B) 152 C) 275 D) 388 Answer: C Explanation: C) The number of graduating seniors is the sum of all the frequencies, f. Difficulty: Difficult Keywords: interpretation, histogram 16) Referring to the histogram from Table 2-3, if all the tickets purchased were used, how many guests attended the luncheon? A) 4 B) 152 C) 275 D) 388 Answer: D Difficulty: Difficult Keywords: interpretation, histogram 17) A professor of economics at a small Texas university wanted to determine what year in school students were taking his tough economics course. Shown below is a pie chart of the results. What percentage of the class took the course prior to reaching their senior year? A) 14% B) 44% C) 54% D) 86% Answer: D Keywords: interpretation, pie chart 18) When polygons or histograms are constructed, which axis must show the true zero or "origin"? A) the horizontal axis B) the vertical axis C) both the horizontal and vertical axes D) neither the horizontal nor the vertical axis Answer: B Keywords: polygon, histogram 19) When constructing charts, the following is plotted at the class midpoints: A) frequency histograms. B) percentage polygons. C) cumulative percentage polygon (ogives). D) all of the above Answer: B Keywords: percentage polygon TABLE 2-4 A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0 (no quality at all) to 100 (extremely good quality). The stem-and-leaf display of the data is shown below. Stem Leaves 3 2 3 4 0 3 4 7 8 9 9 9 5 0 1 1 2 3 4 5 6 1 2 5 6 6 7 0 1 8 9 2 20) Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating of 80 or above? A) 0 B) 4 C) 96 D) 100 Answer: B , interpretation 21) Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating of 50 or below? A) 11 B) 40 C) 44 D) 56 Answer: C , interpretation 22) Referring to Table 2-4, what percentage of the respondents rated overall television quality with a rating from 50 through 75? A) 11 B) 40 C) 44 D) 56 Answer: D , interpretation TABLE 2-5 The following are the duration in minutes of a sample of long-distance phone calls made within the continental United States reported by one long-distance carrier. Relative Time (in Minutes) Frequency 0 but less than 5 0.37 5 but less than 10 0.22 10 but less than 15 0.15 15 but less than 20 0.10 20 but less than 25 0.07 25 but less than 30 0.07 30 or more 0.02 23) Referring to Table 2-5, what is the width of each class? A) 1 minute B) 5 minutes C) 2% D) 100% Answer: B Keywords: class interval, relative frequency distribution 24) Referring to Table 2-5, if 1,000 calls were randomly sampled, how many calls lasted under 10 minutes? A) 220 B) 370 C) 410 D) 590 Answer: D Keywords: relative frequency distribution, interpretation 25) Referring to Table 2-5, if 100 calls were randomly sampled, how many calls lasted 15 minutes or longer? A) 10 B) 14 C) 26 D) 74 Answer: C Keywords: relative frequency distribution, interpretation 26) Referring to Table 2-5, if 10 calls lasted 30 minutes or more, how many calls lasted less than 5 minutes? A) 10 B) 185 C) 295 D) 500 Answer: B Keywords: relative frequency distribution, interpretation 27) Referring to Table 2-5, what is the cumulative relative frequency for the percentage of calls that lasted under 20 minutes? A) 0.10 B) 0.59 C) 0.76 D) 0.84 Answer: D Keywords: cumulative relative frequency 28) Referring to Table 2-5, what is the cumulative relative frequency for the percentage of calls that lasted 10 minutes or more? A) 0.16 B) 0.24 C) 0.41 D) 0.90 Answer: C Keywords: cumulative relative frequency 29) Referring to Table 2-5, if 100 calls were randomly sampled, ________ of them would have lasted at least 15 minutes but less than 20 minutes A) 6 B) 8 C) 10 D) 16 Answer: C Keywords: relative frequency distribution, interpretation 30) Referring to Table 2-5, if 100 calls were sampled, ________ of them would have lasted less than 15 minutes. A) 26 B) 74 C) 10 D) none of the above Answer: B Keywords: relative frequency distribution, interpretation 31) Referring to Table 2-5, if 100 calls were sampled, ________ of them would have lasted 20 minutes or more. A) 26 B) 16 C) 74 D) none of the above Answer: B Keywords: relative frequency distribution, interpretation 32) Referring to Table 2-5, if 100 calls were sampled, ________ of them would have lasted less than 5 minutes or at least 30 minutes or more. A) 35 B) 37 C) 39 D) none of the above Answer: C Difficulty: Difficult Keywords: relative frequency distribution, interpretation 33) Which of the following is appropriate for displaying data collected on the different brands of cars that students at a major university drive? A) a Pareto chart B) a two-way classification table C) a histogram D) a scatter plot Answer: A Keywords: Pareto diagram 34) One of the developing countries is experiencing a baby boom, with the number of births rising for the fifth year in a row, according to a BBC News report. Which of the following is best for displaying this data? A) a Pareto chart B) a two-way classification table C) a histogram D) a time-series plot Answer: D Keywords: time-series plot 35) When studying the simultaneous responses to two categorical questions, you should set up a A) contingency table. B) frequency distribution table. C) cumulative percentage distribution table. D) histogram. Answer: A Keywords: contingency table 36) Data on 1,500 students' height were collected at a larger university in the East Coast. Which of the following is the best chart for presenting the information? A) a pie chart B) a Pareto chart C) a side-by-side bar chart D) a histogram Answer: D Keywords: choice of chart, histogram 37) Data on the number of part-time hours students at a public university worked in a week were collected. Which of the following is the best chart for presenting the information? A) a pie chart B) a Pareto chart C) a percentage table D) a percentage polygon Answer: D Keywords: choice of chart, percentage polygon 38) Data on the number of credit hours of 20,000 students at a public university enrolled in a spring semester were collected. Which of the following is the best for presenting the information? A) a pie chart B) a Pareto chart C) a stem-and-leaf display D) a contingency table Answer: C Keywords: choice of chart, stem-and-leaf 39) In a survey, 150 executives were asked what they think is the most common mistake candidates make during job interviews. Six different mistakes were given. Which of the following is the best for presenting the information? A) a bar chart B) a histogram C) a stem-and-leaf display D) a contingency table Answer: A Keywords: choice of chart, bar chart 40) You have collected information on the market share of five different search engines used by U.S. Internet users in January 2011. Which of the following is the best for presenting the information? A) a pie chart B) a histogram C) a stem-and-leaf display D) a contingency table Answer: A Keywords: choice of chart, pie chart 41) You have collected information on the consumption by the 15 largest coffee-consuming nations. Which of the following is the best for presenting the shares of the consumption? A) a pie chart B) a Pareto chart C) a side-by-side bar chart D) a contingency table Answer: B Explanation: B) Even though a pie chart can also be used, the Pareto chart is preferable for separating the "vital few" from the "trivial many". Keywords: choice of chart, Pareto chart 42) You have collected data on the approximate retail price (in $) and the energy cost per year (in $) of 15 refrigerators. Which of the following is the best for presenting the data? A) a pie chart B) a scatter plot C) a side-by-side bar chart D) a contingency table Answer: B Keywords: choice of chart, scatter plot 43) You have collected data on the number of U.S. households actively using online banking and/or online bill payment from 1995 to 2010. Which of the following is the best for presenting the data? A) a pie chart B) a stem-and-leaf display C) a side-by-side bar chart D) a time-series plot Answer: D Keywords: choice of chart, time-series plot 44) You have collected data on the monthly seasonally adjusted civilian unemployment rate for the United States from 1998 to 2010. Which of the following is the best for presenting the data? A) a contingency table B) a stem-and-leaf display C) a time-series plot D) a side-by-side bar chart Answer: D Keywords: choice of chart, time-series plot 45) You have collected data on the number of complaints for six different brands of automobiles sold in the United States in 2006 and in 2010. Which of the following is the best for presenting the data? A) a contingency table B) a stem-and-leaf display C) a time-series plot D) a side-by-side bar chart Answer: D Keywords: choice of chart, side-by-side bar chart 46) You have collected data on the responses to two questions asked in a survey of 40 college students majoring in business ? What is your gender (Male = M; Female = F) and What is your major (Accountancy = A; Computer Information Systems = C; Marketing = M). Which of the following is the best for presenting the data? A) a contingency table B) a stem-and-leaf display C) a time-series plot D) a Pareto chart Answer: A Keywords: choice of chart, contingency table TABLE 2-6 A sample of 200 students at a Big Ten university was taken after the midterm to ask them whether they went bar hopping the weekend before the midterm or spent the weekend studying, and whether they did well or poorly on the midterm. The following table contains the result. Did Well in Midterm Did Poorly in Midterm Studying for Exam 80 20 Went Bar Hopping 30 70 47) Referring to Table 2-6, of the students in the sample who went bar hopping the weekend before the midterm, ________ percent did well on the midterm. A) 15 B) 27.27 C) 30 D) 55 Answer: C Keywords: contingency table, interpretation 48) Referring to Table 2-6, of the students in the sample who did well on the midterm, ________ percent went bar hopping the weekend before the midterm. A) 15 B) 27.27 C) 30 D) 50 Answer: B Keywords: contingency table, interpretation 49) Referring to Table 2-6, ________ percent of the students in the sample went bar hopping the weekend before the midterm and did well on the midterm. A) 15 B) 27.27 C) 30 D) 50 Answer: A Keywords: contingency table, interpretation 50) Referring to Table 2-6, ________ percent of the students in the sample spent the weekend studying and did well on the midterm. A) 40 B) 50 C) 72.72 D) 80 Answer: A Keywords: contingency table, interpretation 51) Referring to Table 2-6, if the sample is a good representation of the population, we can expect ________ percent of the students in the population to spend the weekend studying and do poorly on the midterm. A) 10 B) 20 C) 45 D) 50 Answer: A Keywords: contingency table, interpretation 52) Referring to Table 2-6, if the sample is a good representation of the population, we can expect ________ percent of those who spent the weekend studying to do poorly on the midterm. A) 10 B) 20 C) 45 D) 50 Answer: B Keywords: contingency table, interpretation 53) Referring to Table 2-6, if the sample is a good representation of the population, we can expect ________ percent of those who did poorly on the midterm to have spent the weekend studying. A) 10 B) 22.22 C) 45 D) 50 Answer: B Keywords: contingency table, interpretation 54) In a contingency table, the number of rows and columns A) must always be the same. B) must always be 2. C) must add to 100%. D) none of the above Answer: D Keywords: contingency table 55) Retailers are always interested in determining why a customer selected their store to make a purchase. A sporting goods retailer conducted a customer survey to determine why its customers shopped at the store. The results are shown in the bar chart below. What proportion of the customers responded that they shopped at the store because of the merchandise or the convenience? A) 35% B) 50% C) 65% D) 85% Answer: C Keywords: bar chart, interpretation TABLE 2-7 The stem-and-leaf display below contains data on the number of months between the date a civil suit is filed and when the case is actually adjudicated for 50 cases heard in superior court. Stem Leaves 1 2 3 4 4 4 7 8 9 9 2 2 2 2 2 3 4 5 5 6 7 8 8 8 9 3 0 0 1 1 1 3 5 7 7 8 4 0 2 3 4 5 5 7 9 5 1 1 2 4 6 6 6 1 5 8 56) Referring to Table 2-7, locate the first leaf, i.e., the lowest valued leaf with the lowest valued stem. This represents a wait of ________ months. Answer: 12 , interpretation 57) Referring to Table 2-7, the civil suit with the longest wait between when the suit was filed and when it was adjudicated had a wait of ________ months. Answer: 68 , interpretation 58) Referring to Table 2-7, the civil suit with the fourth shortest waiting time between when the suit was filed and when it was adjudicated had a wait of ________ months. Answer: 14 , interpretation 59) Referring to Table 2-7, ________ percent of the cases were adjudicated within the first two years. Answer: 30 , interpretation 60) Referring to Table 2-7, ________ percent of the cases were not adjudicated within the first four years. Answer: 20 , interpretation 61) Referring to Table 2-7, if a frequency distribution with equal sized classes was made from this data, and the first class was "10 but less than 20," the frequency of that class would be ________. Answer: 9 , interpretation 62) Referring to Table 2-7, if a frequency distribution with equal sized classes was made from this data, and the first class was "10 but less than 20," the relative frequency of the third class would be ________. Answer: 0.20 or 20% or 10/50 , relative frequency distribution 63) Referring to Table 2-7, if a frequency distribution with equal sized classes was made from this data, and the first class was "10 but less than 20," the cumulative percentage of the second class would be ________. Answer: 46% or 0.46 or 23/50 , cumulative percentage distribution TABLE 2-8 The stem-and-leaf display represents the number of times in a year that a random sample of 100 "lifetime" members of a health club actually visited the facility. Stem Leaves 0 012222233333344566666667789999 1 1111222234444455669999 2 00011223455556889 3 0000446799 4 011345567 5 0077 6 8 7 67 8 3 9 0247 64) Referring to Table 2-8, the person who has the largest leaf associated with the smallest stem visited the facility ________ times. Answer: 9 , interpretation 65) Referring to Table 2-8, the person who visited the health club less than anyone else in the sample visited the facility ________ times. Answer: 0 or no , interpretation 66) Referring to Table 2-8, the person who visited the health club more than anyone else in the sample visited the facility ________ times. Answer: 97 , interpretation 67) Referring to Table 2-8, ________ of the 100 members visited the health club at least 52 times in a year. Answer: 10 , interpretation 68) Referring to Table 2-8, ________ of the 100 members visited the health club no more than 12 times in a year. Answer: 38 , interpretation 69) Referring to Table 2-8, if a frequency distribution with equal sized classes was made from this data, and the first class was "0 but less than 10," the frequency of the fifth class would be ________. Answer: 9 , frequency distribution 70) Referring to Table 2-8, if a frequency distribution with equal sized classes was made from this data, and the first class was "0 but less than 10," the relative frequency of the last class would be ________. Answer: 4% or 0.04 or 4/100 , relative frequency distribution 71) Referring to Table 2-8, if a frequency distribution with equal sized classes was made from this data, and the first class was "0 but less than 10," the cumulative percentage of the next-to-last class would be ________. Answer: 96% or 0.96 or 96/100 , cumulative percentage distribution 72) Referring to Table 2-8, if a frequency distribution with equal sized classes was made from this data, and the first class was "0 but less than 10," the class midpoint of the third class would be ________. Answer: 25 or (20+30)/2 , class midpoint TABLE 2-9 The frequency distribution below represents the rents of 250 randomly selected federally subsidized apartments in a small town. Rent in $ Frequency 300 but less than 400 113 400 but less than 500 85 500 but less than 600 32 600 but less than 700 16 700 but less than 800 4 73) Referring to Table 2-9, ________ apartments rented for at least $400 but less than $600. Answer: 117 Keywords: frequency distribution 74) Referring to Table 2-9, ________ percent of the apartments rented for $600 or more. Answer: 8 or 20/250 Keywords: frequency distribution, cumulative percentage distribution 75) Referring to Table 2-9, ________ percent of the apartments rented for at least $500. Answer: 20.8 or 52/250 Keywords: frequency distribution, cumulative percentage distribution 76) Referring to Table 2-9, the class midpoint of the second class is ________. Answer: 450 Keywords: frequency distribution, class midpoint 77) Referring to Table 2-9, the relative frequency of the second class is ________. Answer: 85/250 or 17/50 or 34% or 0.34 Keywords: frequency distribution, relative frequency distribution 78) Referring to Table 2-9, the percentage of apartments renting for less than $600 is ________. Answer: 230/250 or 23/25 or 92% or 0.92 Keywords: frequency distribution, cumulative percentage distribution TABLE 2-10 The histogram below represents scores achieved by 200 job applicants on a personality profile. 79) Referring to the histogram from Table 2-10, ________ percent of the job applicants scored between 10 and 20. Answer: 20 Keywords: histogram, percentage distribution 80) Referring to the histogram from Table 2-10, ________ percent of the job applicants scored below 50. Answer: 80 Keywords: histogram, percentage distribution 81) Referring to the histogram from Table 2-10, the number of job applicants who scored between 30 and below 60 is ________. Answer: 80 Keywords: histogram 82) Referring to the histogram from Table 2-10, the number of job applicants who scored 50 or above is ________. Answer: 40 Keywords: histogram 83) Referring to the histogram from Table 2-10, 90% of the job applicants scored above or equal to ________. Answer: 10 Keywords: histogram, cumulative percentage distribution 84) Referring to the histogram from Table 2-10, half of the job applicants scored below ________. Answer: 30 Keywords: histogram, cumulative percentage distribution 85) Referring to the histogram from Table 2-10, ________ percent of the applicants scored below 20 or at least 50. Answer: 50 Keywords: histogram, cumulative percentage distribution 86) Referring to the histogram from Table 2-10, ________ percent of the applicants scored between 20 and below 50. Answer: 50 Keywords: histogram, cumulative percentage distribution TABLE 2-11 The ordered array below resulted from selecting a sample of 25 batches of 500 computer chips and determining how many in each batch were defective. Defects 1 2 4 4 5 5 6 7 9 9 12 12 15 17 20 21 23 23 25 26 27 27 28 29 29 87) Referring to Table 2-11, if a frequency distribution for the defects data is constructed, using "0 but less than 5" as the first class, the frequency of the "20 but less than 25" class would be ________. Answer: 4 Keywords: frequency distribution 88) Referring to Table 2-11, if a frequency distribution for the defects data is constructed, using "0 but less than 5" as the first class, the relative frequency of the "15 but less than 20" class would be ________. Answer: 0.08 or 8% or 2/25 Keywords: relative frequency distribution 89) Referring to Table 2-11, construct a frequency distribution for the defects data, using "0 but less than 5" as the first class. Answer: Defects Frequency 0 but less than 5 4 5 but less than 10 6 10 but less than 15 2 15 but less than 20 2 20 but less than 25 4 25 but less than 30 7 Keywords: frequency distribution 90) Referring to Table 2-11, construct a relative frequency or percentage distribution for the defects data, using "0 but less than 5" as the first class. Answer: Defects Percentage 0 but less than 5 16 5 but less than 10 24 10 but less than 15 8 15 but less than 20 8 20 but less than 25 16 25 but less than 30 28 Keywords: relative frequency distribution, percentage distribution 91) Referring to Table 2-11, construct a cumulative percentage distribution for the defects data if the corresponding frequency distribution uses "0 but less than 5" as the first class. Answer: Defects CumPct 0 0 5 16 10 40 15 48 20 56 25 72 30 100 92) Referring to Table 2-11, construct a histogram for the defects data, using "0 but less than 5" as the first class. Answer: Keywords: histogram, frequency distribution 93) Referring to Table 2-11, construct a cumulative percentage polygon for the defects data if the corresponding frequency distribution uses "0 but less than 5" as the first class. Answer: Keywords: cumulative percentage polygon 94) The point halfway between the boundaries of each class interval in a grouped frequency distribution is called the ________. Answer: class midpoint Keywords: cumulative percentage polygon, frequency distribution 95) A ________ is a vertical bar chart in which the rectangular bars are constructed at the boundaries of each class interval. Answer: histogram Keywords: histogram 96) It is essential that each class grouping or interval in a frequency distribution be ________ and ________. Answer: non-overlapping and of equal width Keywords: frequency distribution, class interval 97) In order to compare one large set of numerical data to another, a ________ distribution must be developed from the frequency distribution. Answer: relative frequency or percentage Keywords: relative frequency distribution, percentage distribution 98) When comparing two or more large sets of numerical data, the distributions being developed should use the same ________. Answer: class boundaries. Keywords: class boundaries 99) The width of each class grouping or interval in a frequency distribution should be ________. Answer: the same or equal Keywords: class interval, frequency distribution 100) In constructing a polygon, each class grouping is represented by its ________ and then these are consecutively connected to one another. Answer: midpoint Keywords: polygon, class interval, midpoint 101) A ________ is a summary table in which numerical data are tallied into class intervals or categories. Answer: frequency distribution Keywords: frequency distribution, class interval 102) True or False: In general, grouped frequency distributions should have between 5 and 15 class intervals. Answer: TRUE Keywords: frequency distribution, number of classes 103) True or False: The sum of relative frequencies in a distribution always equals 1. Answer: TRUE Keywords: relative frequency 104) True or False: The sum of cumulative frequencies in a distribution always equals 1. Answer: FALSE Keywords: cumulative distribution 105) True or False: In graphing two categorical data, the side-by-side bar chart is best suited when comparing joint responses. Answer: TRUE Keywords: side-by-side chart 106) True or False: When constructing a frequency distribution, classes should be selected so that they are of equal width. Answer: TRUE Keywords: frequency distribution 107) True or False: A research analyst was directed to arrange raw data collected on the yield of wheat, ranging from 40 to 93 bushels per acre, in a frequency distribution. He should choose 30 as the class interval width. Answer: FALSE Keywords: frequency distribution, class interval 108) True or False: If the values of the seventh and eighth class in a cumulative percentage distribution are the same, we know that there are no observations in the eighth class. Answer: TRUE 109) True or False: One of the advantages of a pie chart is that it clearly shows that the total of all the categories of the pie adds to 100%. Answer: TRUE Keywords: pie chart 110) True or False: The larger the number of observations in a numerical data set, the larger the number of class intervals needed for a grouped frequency distribution. Answer: TRUE Keywords: class interval, frequency distribution 111) True or False: Determining the class boundaries of a frequency distribution is highly subjective. Answer: TRUE Keywords: class boundaries, frequency distribution 112) True or False: The original data values cannot be determined once they are grouped into a frequency distribution table. Answer: TRUE Keywords: frequency distribution 113) True or False: The percentage distribution cannot be constructed from the frequency distribution directly. Answer: FALSE Keywords: percentage distribution, frequency distribution 114) True or False: The stem-and-leaf display is often superior to the frequency distribution in that it maintains the original values for further analysis. Answer: TRUE , frequency distribution 115) True or False: The relative frequency is the frequency in each class divided by the total number of observations. Answer: TRUE Keywords: relative frequency distribution 116) True or False: Ogives are plotted at the midpoints of the class groupings. Answer: FALSE Keywords: ogives, midpoint 117) True or False: Percentage polygons are plotted at the boundaries of the class groupings. Answer: FALSE Keywords: percentage polygons 118) True or False: The main principle behind the Pareto chart is the ability to separate the "vital few" from the "trivial many." Answer: TRUE Keywords: Pareto chart 119) True or False: A histogram can have gaps between the bars, whereas bar charts cannot have gaps. Answer: FALSE Keywords: histogram, bar chart 120) True or False: Histograms are used for numerical data while bar charts are suitable for categorical data. Answer: TRUE Keywords: histogram, bar chart 121) True or False: A Walmart store in a small town monitors customer complaints and organizes these complaints into six distinct categories. Over the past year, the company has received 534 complaints. One possible graphical method for representing these data would be a Pareto chart. Answer: TRUE Keywords: Pareto chart 122) True or False: Apple Computer, Inc. collected information on the age of its customers. The youngest customer was 12 and the oldest was 72. To study the distribution of the age among its customers, it can use a Pareto chart. Answer: FALSE Keywords: Pareto chart 123) True or False: Apple Computer, Inc. collected information on the age of its customers. The youngest customer was 12 and the oldest was 72. To study the distribution of the age among its customers, it is best to use a pie chart. Answer: FALSE Keywords: pie chart 124) True or False: Apple Computer, Inc. collected information on the age of its customers. The youngest customer was 12 and the oldest was 72. To study the distribution of the age among its customers, it can use a percentage polygon. Answer: TRUE Keywords: percentage polygon 125) True or False: Apple Computer, Inc. collected information on the age of its customers. The youngest customer was 12 and the oldest was 72. To study the percentage of their customers who are below a certain age, it can use an ogive. Answer: TRUE Keywords: ogive 126) True or False: If you wish to construct a graph of a relative frequency distribution, you would most likely construct an ogive first. Answer: FALSE Keywords: Ogive 127) True or False: An ogive is a cumulative percentage polygon. Answer: TRUE Keywords: Ogive, cumulative percentage polygon 128) True or False: A side-by-side chart is two histograms plotted side-by-side. Answer: FALSE Keywords: side-by-side chart 129) True or False: A good choice for the number of class groups to use in constructing frequency distribution is to have at least 5 but no more than 15 class groups. Answer: TRUE Keywords: number of classes 130) True or False: In general, a frequency distribution should have at least 8 class groups but no more than 20. Answer: FALSE Keywords: number of classes 131) True or False: True of False: To determine the width of class interval, divide the number of class groups by the range of the data. Answer: FALSE Keywords: class interval 132) True or False: The percentage polygon is formed by having the lower boundary of each class represent the data in that class and then connecting the sequence of lower boundaries at their respective class percentages. Answer: FALSE Keywords: percentage polygon 133) True or False: A polygon can be constructed from a bar chart. Answer: FALSE Keywords: polygon 134) True or False: To evaluate two categorical variables at the same time, a ________ could be developed. Answer: contingency or cross-classification table or side-by-side bar chart Keywords: contingency table, cross-classification table 135) True or False: Relationships in a contingency table can be examined more fully if the frequencies are converted into ________. Answer: percentages or proportions Keywords: contingency table TABLE 2-12 The table below contains the opinions of a sample of 200 people broken down by gender about the latest congressional plan to eliminate anti-trust exemptions for professional baseball. For Neutral Against Totals Female 38 54 12 104 Male 12 36 48 96 Totals 50 90 60 200 136) Referring to Table 2-12, construct a table of row percentages. Answer: For Neutral Against Totals Female 36.54 51.92 11.54 100.00 Male 2.50 37.50 50.00 100.00 Totals 25.00 45.00 30.00 100.00 Keywords: row percentages 137) Referring to Table 2-12, construct a table of column percentages. Answer: For Neutral Against Totals Female 76.00 60.00 20.00 52.00 Male 24.00 40.00 80.00 48.00 Totals 100.00 100.00 100.00 100.00 Keywords: column percentages 138) Referring to Table 2-12, construct a table of total percentages. Answer: For Neutral Against Totals Female 19.00 27.00 6.00 52.00 Male 6.00 18.00 24.00 48.00 Totals 25.00 45.00 30.00 100.00 Keywords: total percentages 139) Referring to Table 2-12, of those for the plan in the sample, ________ percent were females. Answer: 76 Keywords: contingency table, column percentages 140) Referring to Table 2-12, of those neutral in the sample, ________ percent were males. Answer: 40 Keywords: contingency table, column percentages 141) Referring to Table 2-12, of the males in the sample, ________ percent were for the plan. Answer: 12.50 Keywords: contingency table 142) Referring to Table 2-12, of the females in the sample, ________ percent were against the plan. Answer: 11.54 Keywords: contingency table 143) Referring to Table 2-12, of the females in the sample, ________ percent were either neutral or against the plan. Answer: 63.46 or (51.92+11.54) Keywords: contingency table 144) Referring to Table 2-12, ________ percent of the 200 were females who were against the plan. Answer: 6 Keywords: contingency table 145) Referring to Table 2-12, ________ percent of the 200 were males who were neutral. Answer: 18 Keywords: contingency table 146) Referring to Table 2-12, ________ percent of the 200 were females who were either neutral or against the plan. Answer: 33 Difficulty: Difficult Keywords: contingency table 147) Referring to Table 2-12, ________ percent of the 200 were males who were not against the plan. Answer: 24 Difficulty: Difficult Keywords: contingency table 148) Referring to Table 2-12, ________ percent of the 200 were not neutral. Answer: 55 Difficulty: Difficult Keywords: contingency table, row percentages 149) Referring to Table 2-12, ________ percent of the 200 were against the plan. Answer: 30 Keywords: contingency table, row percentages 150) Referring to Table 2-12, ________ percent of the 200 were males. Answer: 48 Keywords: contingency table, column percentages 151) Referring to Table 2-12, if the sample is a good representation of the population, we can expect ________ percent of the population will be for the plan. Answer: 25 Keywords: contingency table, row percentages 152) Referring to Table 2-12, if the sample is a good representation of the population, we can expect ________ percent of the population will be males. Answer: 48 Keywords: contingency table, column percentages 153) Referring to Table 2-12, if the sample is a good representation of the population, we can expect ________ percent of those for the plan in the population will be males. Answer: 24 Keywords: contingency table 154) Referring to Table 2-12, if the sample is a good representation of the population, we can expect ________ percent of the males in the population will be against the plan. Answer: 50 Keywords: contingency table 155) Referring to Table 2-12, if the sample is a good representation of the population, we can expect ________ percent of the females in the population will not be against the plan. Answer: 88.46 or (36.54+51.92) Keywords: contingency table TABLE 2-13 Given below is the stem-and-leaf display representing the amount of detergent used in gallons (with leaves in tenths of gallons) in a day by 25 drive-through car wash operations in Phoenix. 9 | 147 10 | 02238 11 | 135566777 12 | 223489 13 | 02 156) Referring to Table 2-13, if a frequency distribution for the amount of detergent used is constructed, using "9.0 but less than 10.0 gallons" as the first class, the frequency of the "11.0 but less than 12.0 gallons" class would be ________. Answer: 9 Keywords: frequency distribution 157) Referring to Table 2-13, if a percentage histogram for the detergent data is constructed, using "9.0 but less than 10.0 gallons" as the first class, the percentage of drive-through car wash operations that use "12.0 but less than 13.0 gallons" of detergent would be ________. Answer: 24% Keywords: relative frequency distribution, percentage distribution 158) Referring to Table 2-13, if a percentage histogram for the detergent data is constructed, using "9.0 but less than 10.0 gallons" as the first class, what percentage of drive-through car wash operations use less than 12 gallons of detergent in a day? Answer: 68% Keywords: percentage distribution, cumulative relative frequency 159) Referring to Table 2-13, if a relative frequency or percentage distribution for the detergent data is constructed, using "9.0 but less than 10.0 gallons" as the first class, what percentage of drive-through car wash operations use at least 10 gallons of detergent in a day? Answer: 88% Keywords: relative frequency distribution, percentage distribution 160) Referring to Table 2-13, if a relative frequency or percentage distribution for the detergent data is constructed, using "9.0 but less than 10.0 gallons" as the first class, what percentage of drive-through car wash operations use at least 10 gallons but less than 13 gallons of detergent in a day? Answer: 80% Keywords: relative frequency distribution, percentage distribution 161) Referring to Table 2-13, construct a frequency distribution for the detergent data, using "9.0 but less than 10.0 gallons" as the first class. Answer: Purchases (gals) Frequency 9.0 but less than 10.0 3 10.0 but less than 11.0 5 11.0 but less than 12.0 9 12.0 but less than 13.0 6 13.0 but less than 14.0 2 Keywords: frequency distribution 162) Referring to Table 2-13, construct a relative frequency or percentage distribution for the detergent data, using "9.0 but less than 10.0" as the first class. Answer: Gasoline Purchases (gals) Percentage 9.0 but less than 10.0 12% 10.0 but less than 11.0 20 11.0 but less than 12.0 36 12.0 but less than 13.0 24 13.0 but less than 14.0 8 Keywords: relative frequency distribution, percentage distribution 163) Referring to Table 2-13, construct a cumulative percentage distribution for the detergent data if the corresponding frequency distribution uses "9.0 but less than 10.0" as the first class. Answer: Gasoline Frequency Percentage Purchases (gals) Less Than Less Than 9.0 but less than 10.0 3 12 10.0 but less than 11.0 8 32 11.0 but less than 12.0 17 68 12.0 but less than 13.0 23 92 13.0 but less than 14.0 25 100 164) Referring to Table 2-13, construct a percentage histogram for the detergent data, using "9.0 but less than 10.0" as the first class. Answer: Keywords: histogram, frequency distribution 165) Referring to Table 2-13, construct a cumulative percentage polygon for the detergent data if the corresponding frequency distribution uses "9.0 but less than 10.0" as the first class. Answer: Keywords: cumulative percentage polygon 166) Referring to Table 2-13, construct a percentage polygon for the detergent data if the corresponding frequency distribution uses "9.0 but less than 10.0" as the first class. Answer: Keywords: percentage distribution, percentage polygon TABLE 2-14 The table below contains the number of people who own a portable DVD player in a sample of 600 broken down by gender. Own a Portable DVD Player Male Female Yes 96 40 No 224 240 167) Referring to Table 2-14, construct a table of row percentages. Answer: Own Male Female Total Yes 70.59% 29.41% 100.00% No 48.28% 51.72% 100.00% Total 53.33% 46.67% 100.00% Keywords: row percentages 168) Referring to Table 2-14, construct a table of column percentages. Answer: Own Male Female Total Yes 30.00% 14.29% 22.67% No 70.00% 85.71% 77.33% Total 100.00% 100.00% 100.00% Keywords: column percentages 169) Referring to Table 2-14, construct a table of total percentages. Answer: Own Male Female Total Yes 16.00% 6.67% 22.67% No 37.33% 40.00% 77.33% Total 53.33% 46.67% 100.00% Keywords: total percentages 170) Referring to Table 2-14, of those who owned a portable DVD in the sample, ________ percent were females. Answer: 29.41 Keywords: contingency table, row percentages 171) Referring to Table 2-14, of those who did not own a portable DVD in the sample, ________ percent were males. Answer: 48.28 Keywords: contingency table, row percentages 172) Referring to Table 2-14, of the males in the sample, ________ percent owned a portable DVD. Answer: 30 Keywords: contingency table, column percentages 173) Referring to Table 2-14, of the females in the sample, ________ percent did not own a portable DVD. Answer: 85.71 Keywords: contingency table, column percentages 174) Referring to Table 2-14 of the females in the sample, ________ percent owned a portable DVD. Answer: 14.29 Keywords: contingency table, column percentages 175) Referring to Table 2-14, ________ percent of the 600 were females who owned a portable DVD. Answer: 6.67 Keywords: contingency table, total percentage 176) Referring to Table 2-14, ________ percent of the 600 were males who owned a portable DVD. Answer: 16 Keywords: contingency table, total percentage 177) Referring to Table 2-14, ________ percent of the 600 were females who either owned or did not own a portable DVD. Answer: 46.67 Keywords: contingency table, total percentage 178) Referring to Table 2-14, ________ percent of the 600 were males who did not own a portable DVD. Answer: 37.33 Keywords: contingency table, total percentage 179) Referring to Table 2-14, ________ percent of the 600 owned a portable DVD. Answer: 22.67 Keywords: contingency table, column percentages 180) Referring to Table 2-14, ________ percent of the 600 did not own a portable DVD. Answer: 77.33 Keywords: contingency table, column percentages 181) Referring to Table 2-14, ________ percent of the 600 were females. Answer: 46.67 Keywords: contingency table, row percentages 182) Referring to Table 2-14, if the sample is a good representation of the population, we can expect ________ percent of the population will own a portable DVD. Answer: 22.67 Keywords: contingency table, column percentages 183) Referring to Table 2-14, if the sample is a good representation of the population, we can expect ________ percent of the population will be males. Answer: 53.33 Keywords: contingency table, column percentages 184) Referring to Table 2-14, if the sample is a good representation of the population, we can expect ________ percent of those who own a portable DVD in the population will be males. Answer: 70.59 Keywords: contingency table, row percentages 185) Referring to Table 2-14, if the sample is a good representation of the population, we can expect ________ percent of the males in the population will own a portable DVD. Answer: 30 Keywords: contingency table, column percentages 186) Referring to Table 2-14, if the sample is a good representation of the population, we can expect ________ percent of the females in the population will not own a portable DVD. Answer: 85.71 Keywords: contingency table, column percentages TABLE 2-15 The figure below is the ogive for the amount of fat (in grams) for a sample of 36 pizza products where the upper boundaries of the intervals are: 5, 10, 15, 20, 25, and 30. 187) Referring to Table 2-15, roughly what percentage of pizza products contain less than 10 grams of fat? A) 3% B) 14% C) 50% D) 75% Answer: B 188) Referring to Table 2-15, what percentage of pizza products contain at least 20 grams of fat? A) 5% B) 25% C) 75% D) 96% Answer: B 189) Referring to Table 2-15, what percentage of pizza products contain between 10 and 25 grams of fat? A) 14% B) 44% C) 62% D) 81% Answer: D TABLE 2-16 The figure below is the percentage polygon for the amount of calories for a sample of 36 pizzas products where the upper limits of the intervals are: 310, 340, 370, 400 and 430. 190) Referring to Table 2-16, roughly what percentage of pizza products contain between 400 and 430 calories? A) 0% B) 11% C) 89% D) 100% Answer: B Keywords: percentage polygon, interpretation 191) Referring to Table 2-16, roughly what percentage of pizza products contain between 340 and 400 calories? A) 22% B) 25% C) 28% D) 50% Answer: D Keywords: percentage polygon, interpretation 192) Referring to Table 2-16, roughly what percentage of pizza products contain at least 340 calories? A) 25% B) 28% C) 39% D) 61% Answer: D Keywords: percentage polygon, interpretation TABLE 2-17 The following table presents total retail sales in millions of dollars for the leading apparel companies during April 2009 and April 2010. Apparel Company April 2009 April 2010 Gap 1,159.00 962 TJX 781.7 899 Limited 596.5 620.4 Kohl's 544.9 678.9 Nordstrom 402.6 418.3 Talbots 139.9 130.1 AnnTaylor 114.2 124.8 193) Referring to Table 2-17, construct a table of column percentages. Answer: Apparel Company April 2009 April 2010 Gap 31.00% 25.09% TJX 20.91% 23.45% Limited 15.95% 16.18% Kohl's 14.57% 17.71% Nordstrom 10.77% 10.91% Talbots 3.74% 3.39% AnnTaylor 3.05% 3.26% Total 100.00% 100.00% Keywords: column percentages 194) Referring to Table 2-17, construct a side-by-side bar chart. Answer: Keywords: column percentages, side-by-side chart 195) True or False: Referring to Table 2-17, in general, retail sales for the apparel industry have seen a modest growth between April 2008 and April 2009. Answer: TRUE Keywords: column percentages, side-by-side chart, interpretation 196) Referring to Table 2-17, among the 8 stores, ________ saw a sales decline. Answer: Gap and Talbots Keywords: column percentages, side-by-side chart, interpretation TABLE 2-18 The stem-and-leaf display below shows the result of a survey on 50 students on their satisfaction with their school with the higher scores represent higher level of satisfaction. 197) Referring to Table 2-18, what was the highest level of satisfaction? Answer: 97 198) Referring to Table 2-18, what was the lowest level of satisfaction? Answer: 41 199) Referring to Table 2-18, how many students have a satisfaction level in the 50s? Answer: 5 200) Referring to Table 2-18, how many students have a satisfaction level below 60? Answer: 10 201) Referring to Table 2-18, how many students have a satisfaction level of at least 80? Answer: 15 202) True or False: Referring to Table 2-18, the level of satisfaction is concentrated around 75. Answer: TRUE 203) True or False: Referring to Table 2-18, if a student is randomly selected, his/her most likely level of satisfaction among the 40s, 50s, 60s, 70s, 80s and 90s will be in the 70s. Answer: TRUE 204) True or False: Referring to Table 2-18, if a student is randomly selected, his/her most likely level of satisfaction among the 40s, 50s, 60s, 70s, 80s and 90s will be in the 60s. Answer: FALSE 205) True or False: Given below is the scatter plot of the price/earnings ratio versus earnings per share of 20 U.S. companies. There appears to be a negative relationship between price/earnings ratio and earnings per share. Answer: TRUE 206) True or False: Given below is the scatter plot of the price/earnings ratio versus earnings per share of 20 U.S. companies. There appear to be a positive relationship between price/earnings ratio and earnings per share. Answer: FALSE 207) True or False: Given below is the scatter plot of the market value (thousands$) and profit (thousands$) of 50 U.S. companies. Higher market values appear to be associated with higher profits. Answer: TRUE 208) True or False: Given below is the scatter plot of the market value (thousands$) and profit (thousands$) of 50 U.S. companies. There appears to be a negative relationship between market value and profit. Answer: FALSE 209) True or False: Given below is the scatter plot of the number of employees and the total revenue ($millions) of 20 U.S. companies. There appears to be a positive relationship between total revenue and the number of employees. Answer: TRUE 210) True or False: Given below is the scatter plot of the number of employees and the total revenue ($millions) of 20 U.S. companies. Companies that have higher numbers of employees appear to also have higher total revenue. Answer: TRUE