AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Estimating the Mean Difference — Unit testQuestion 4
4
QuizMultiple Choice

Estimating the Mean Difference — Unit test

Question 4 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

A random sample of 30 students is selected. Each student is asked to report how much time they spent the previous night on math homework and how much time they spent on science homework. A 95% confidence interval for the true mean difference (math – science) in the amount of time spent on homework is 30 minutes to 75 minutes. A science teacher claims that students tend to spend more time working on math homework than on science homework. Is this claim supported by the 95% confidence interval?

Answer
A
No, the confidence interval consists entirely of positive numbers.
B
No, the confidence interval does not contain the value of 0 hours.
C
Yes, the confidence interval consists entirely of positive numbers.
D
Yes, the confidence interval does not contain the value of 0 hours.

Explanation

The confidence interval is for math time minus science time, and it runs from 30 to 75 minutes. Since the entire interval is positive, it supports a positive mean difference—students spend more time on math homework on average. Therefore, the claim is supported.

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