Question
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
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 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 |
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