A census bureau collects information about the household income (total income of everyone living in one residence) of people in a certain country.
(i) Identify the variable and population under consideration.
(ii) By consulting the most recent census data, it was found that the mean household income of all residents in the country is 35,352. Decide whether this descriptive measure is a parameter or a statistic and use the correct notation to express the result.
Q. 2A teacher records the test scores for the 40 students in her class. Corresponding to each score, she calculates a z-score. Julia's z-score is -2.8. Should she be concerned? Explain your reasoning.
What will be an ideal response?
Q. 3Define the terms population and sample.
What will be an ideal response?
Q. 4Fill in the following blanks: The two major types of statistics are ______________ statistics and ___________ statistics.
Fill in the blank(s) with correct word
Q. 5A teacher records the test scores for the 30 students in her class. The standard deviation of the scores was 10. Corresponding to each score, she calculates a z-score. Hugh's test score was one and a half standard deviations below the mean.
What would his z-score have been?
A) 1.5 B) -15 C) 15 D) -1.5
Q. 6In a competition, two people will be selected from four finalists to receive the first and second prizes. The prize winners will be selected by drawing names from a hat. The names of the four finalists are Jim, George, Helen, and Maggie.
The possible outcomes can be represented as follows.
JG JH JM GJ GH GM
HJ HG HM MJ MG MH
Here, for example, JG represents the outcome that Jim receives the first prize and George receives the second prize. The event A is defined as follows.
A = event that Helen gets first prize
List the outcomes that comprise the event (not A).
A) JG, JH, JM, GJ, GH, GM, MJ, MG, MH B) JG, JH, JM, GJ, GH, GM, MJ
C) JG, JM, GJ, GM, MJ, MG D) HJ, HG, HM
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