AP Statistics Difference Between Sample Means Question Bank

Practise interpreting the mean, standard deviation and probabilities of sampling distributions for differences between sample means in real AP Statistics contexts.

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Sean and Evan are college roommates who have part-time jobs as servers in restaurants. The distribution of Sean's weekly income is approximately normal with mean $225 and standard deviation $25. The distribution of Evan's weekly income is approximately normal with mean $240 and standard deviation $15. Assuming their weekly incomes are independent of each other, which of the following is closest to the probability that Sean will have a greater income than Evan in a randomly selected week?

A

0.067

B

0.159

C

0.227

D

0.303

E

0.354

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4.6.C—Interpret the mean, standard deviation, and probabilities for a sampling distribution for the difference between… question 1