AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27Hypothesis TestingQuestion 2
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Hypothesis Testing

Question 2 • CREDIT RE-SEAT MNPS Integrated Math III IC S2 26-27

A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2.3. Which of the following shows the correct z-statistic for this situation?

Answer
A
-3.87
B
-0.26
C
3.23
D
5.22

Explanation

Use the z-statistic formula for a sample mean: z = (sample mean − population mean) ÷ (population standard deviation ÷ √n). Substituting the values gives z = (2.3 − 2.7) ÷ (0.4 ÷ √15) ≈ −3.87. The correct choice is A, −3.87; the negative sign reflects that the teammates’ mean is below the American average.

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