A golf equipment manufacturer would like to convince members of a club that its golf balls travel farther than those of a rival. For the comparison, twelve golfers have randomly selected from the club to each drive a ball from this manufacturer and from the rival. The results show the distance traveled, in yards. The complete set of results is provided in the Module 7 assignment data file distance columns attached below question g.

a. Should every golfer hit the rival ball first and then the manufacturer's ball second? Explain your answer.

b. State the null and alternate hypotheses, paste the test output, and state your decision.

c. What is the 90% confidence interval for the mean difference? Interpret the confidence interval.

d. What assumption(s) was (were) required to perform this hypothesis test?

e. Does (do) the assumption(s) appear to be reasonably met in this case? Paste the Minitab output is required to answer this question here.

f. Comment on the source of sampling error and a potential source of non-sampling error for this study (be specific).

g. Rather than have each golfer hit one ball of each type, the manufacturer could have easily chosen 12 more golfers and allowed all 24 golfers to hit one ball. Should the manufacturer run the study as it did (12 golfers hitting each type of ball) or with 24 golfers hitting just one randomly assigned ball? Justify your answer.

Golfer	Distance (manuf)	Distance (rival)
1	188	194
2	240	241
3	235	210
4	176	185
5	234	211
6	160	149
7	240	225
8	241	227
9	239	204
10	251	255
11	185	185
12	166	151