5. A furniture store advertises that they will deliver within 12 days of purchase. A sample of 49 past customers shows an average delivery time of 14.2 days with a standard deviation of 5.6 days. State the null and alternative hypotheses and test the hypothesis at the 99% confidence level using the P-value.

6. A manufacturer of electronics will not accept a shipment of parts from a vendor if there is reason to believe that the mean resistance of the components is not 100 ohms. A random sample of 25 selected from a large shipment yields a mean of 96 ohms and a standard deviation of 10 ohms. Should the shipment be accepted? Use a .02 level of significance and the confidence interval approach to justify your answer.