Mike is an avid golfer who would like to improve his play this summer. A friend suggests getting new clubs and lets Mike try his 7-iron. Based on years of experience, Mike has established that the mean distance that balls travel when hit with his old 7-iron is 175 yards with a standard deviation of 15 yards. He is hoping that his new club will make his shots with a 7-iron more consistent (less variable). He goes to the driving range and hits 50 shots with the new 7-iron. The standard deviation of these 50 shots is 13 yards. Is this decrease significant at 5% alpha? (a) What type of test should be performed to test this hope? Why? (b) State the hypotheses for this test. (c) At 5% significance, what is the critical value for this hypothesis test? (d) Perform the hypothesis test using critical value and summarize in context