10.The management of a department store is interested to know if the mean credit purchases of customers using the store's credit card is larger than those customers using a national major credit card. Independent samples of credit sales are shown below.Store's Card (µ1)Major Credit Card (µ2)Sample size6449Sample mean$140$125Indicate the correct null hypothesis: a.µ1< µ2 b.µ1 = µ2c.µ1 > µ2Sample standard deviation$ 10$

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11 Historically it is known that freshman college students watch an average of 16 hours of television per week. In order to determine if this average has changed , a random sample of 30 students was selected. students in the sample spent an average of 14 hours of watching TV per week with a standard deviation of 3.2 hours. Which hypothesis test should be used to determine if the average has changed?The

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PART 2. SHORT ANSWER PROBLEMSAnswer the following questions keeping a minimum of 4 decimal places for intermediate calculations and round final answers to 2 decimal places. You must show all your work to receive any marks1.At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly higher than 21. The average age of the students in the sample was 23 with a standard deviation of 3.5. a. Set up the hypothesis (3 points).

b. Would one would apply the z –distribution or the t- distribution to solve the problem? Justify your choice (explainwhy). ( 2 points)