A Carpet Company Advertises That It Will Deliver Your Carpet $\alpha$

Essay

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. The standard deviation of the population ( $\alpha$ ) is known to be 5.6 days.
a.State the null and alternative hypotheses.
b.Using the critical value approach, test to determine if their advertisement is legitimate. Let $\alpha$ = .05.
c.Using the p-value approach, test the hypotheses at the 5% level of significance.