Question: It has been reported that the mean credit card debt for college seniors at the college bookstore for a specific college is $3262. The student senate at a large university feels that their seniors have a debt much less than this . The student senate conducts a study of 50 randomly selected seniors and finds their average debt is \[\overline{x}=\\(2995\] with a population standard deviation \[\sigma =\\(1100\] . Using \[\alpha =0.05\] , test the claim that the student senate is correct in saying their seniors have a lower debt than $3262. Decide whether the normal distribution or the t-distribution should be used. Report the p-value for the test.

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