Women on average have 8 more pairs of shoes than men, according to a USA Today Snapshot titled €œWho owns more shoes?€ (July 8, 2009). A recent study at a community college gave the following results:

a. Find the 90% confidence interval for the difference between the two mean numbers of pairs of shoes for males and females.
b. Does the confidence interval found in part a agree with the statement made in the USA Today Snapshot? Explain.
c. Is the claim €œaverage 8 more€ one-sided (€œat least 8 more€), or is it two-sided (meaning €œnot less than 8 or not more than 8€)? Explain how you would interpret the claim.

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Males Females Mean 8.48 26.63 Std. Dev. 4.43 21.83 30