33. Callaway Golf Company’s new forged titanium ERC driver has been described as “illegal” because it promises driving distances that exceed the USGA’s standard. Golf Digest compared actual driving distances with the ERC driver and a USGA-approved driver with a population mean driving distance of 280 yards. Based on nine test drives, the mean driving distance by the ERC driver was 286.9 yards (Golf Digest, May 12, 2000). Answer the following questions assuming a sample standard deviation driving distance of 10 yards.

a. Formulate the null and alternative hypotheses that can be used to determine whether the new ERC driver has a population mean driving distance greater than 280 yards.

b. On average, how many yards farther did the golf ball travel with the ERC driver?

c. At α  .05, what is your conclusion?