Book sales A publishing company pays its sales staff 600 a week plus a commission of 0.50 per book sold. For example, a salesman who sold 440 books earned 600 + 0.50(440 ) = 820.
a. The table shows summary statistics for the number of books the large sales staff sold last week. Fill in the table to show the statistics for the pay these people earned.
Statistic Books Sold Earned
Mean 640
St. dev. 360
IQR 450
Maximum 1420
b. The newest employee had a pretty good week. Among all the salespeople her pay corresponded to a z-score of +1.80. What was the z-score of the number of books she sold?
Q. 2Commuting to work The table shows how a company's employees commute to work.
Transportation
Job Class Car Bus Train Total
Management 26 20 44 90
Labor 56 106 168 330
Total 82 126 212 420
a. What is the marginal distribution (in ) of mode of transportation?
Car _____Bus _____Train _____
b. What is the conditional distribution (in ) of mode of transportation for management?
Car _____Bus _____Train _____
c. What kind of display would you use to show the association between job class and mode of transportation? (Just name a graph.)
d. Do job classification and mode of transportation appear to be independent? Give statistical evidence to support your conclusion.
Q. 3Suppose that a Normal model describes fuel economy (miles per gallon) for automobiles and that a Toyota Corolla has a standardized score (z-score) of +2.2. This means that Corollas . . .
A) get 2.2 miles per gallon.
B) achieve fuel economy that is 2.2 standard deviations better than the average car.
C) get 2.2 mpg more than the average car.
D) have a standard deviation of 2.2 mpg.
E) get 2.2 times the gas mileage of the average car.
Q. 4Suppose a Normal model describes the number of pages printer ink cartridges last. If we keep track of printed pages for the 47 printers at a company's office, which must be true?
I. The page counts for those ink cartridges will be normally distributed.II. The histogram for those page counts will be symmetric.III. 95 of those page counts will be within 2 standard deviations of the mean.
A) I, II, and III B) I only C) II only D) none E) II and III
Q. 5If we want to discuss any gaps and clusters in a data set, which of the following should not be chosen to display the data set?
A) dotplot
B) boxplot
C) any of these would work
D) histogram
E) stem-and-leaf plot
Q. 6Last weekend police ticketed 18 men whose mean speed was 72 miles per hour, and 30 women going an average of 64 mph. Overall, what was the mean speed of all the people ticketed?
A) 69 mph
B) 68 mph
C) It cannot be determined.
D) 67 mph
E) none of those
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