3
QuizMultiple Choice

Unit Test — Unit test

Question 3 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Nina would like to estimate the difference in the mean amount of time students spend on math homework at her public school versus her cousin Sharon’s private school. To do so, each girl selects a random sample of 30 students from their large schools and asks the selected students how much time they spent doing math homework the previous night. The 90% confidence interval for the true difference in the population means, for private – public, is 0.25 hours to 0.92 hours. Is it reasonable for the girls to claim that private school students tended to spend an additional 30 minutes on math homework the previous night?

Answer
A
Yes, because 30 is a plausible value in the confidence interval.
B
Yes, because 0.5 is a plausible value in the confidence interval.
C
No, because 30 is a plausible value in the confidence interval.
D
No, because 0.5 is a plausible value in the confidence interval.
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