AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Unit Test — Unit testQuestion 13
13
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Unit Test — Unit test

Question 13 • 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. Nina and Sharon would like to construct a 90% confidence interval for the true difference in the population means. Are the conditions for inference met?

Answer
A
Yes, all three conditions for inference are met.
B
No, the random condition is not met for both samples.
C
No, the 10% condition is not met for both samples.
D
No, the Normal/large sample condition is not met for both samples.

Explanation

Both girls chose random samples, so the random condition is met. Each school is described as large, making 30 students less than 10% of its population; also, each sample has 30 students, which is large enough for the usual large-sample condition. Therefore, all three conditions are met for a confidence interval comparing the population means.

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