A golf equipment manufacturer would like to convince members of a club that its golf balls travel farther than those of a competitor, even for weekend golfers. For the comparison, twelve golfers 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.
(a) Should every golfer hit the rival ball first and then the manufacturer’s ball second?
(b) Is there a statistically significant difference in the average distance traveled between the two types of balls? Be sure to check the conditions for the method used.
(c) Rather than have each golfer hit one ball of each type, the manufacturer could have easily gotten 12 more golfers and allowed all 24 to hit one ball. Should the manufacturer run the study as it did, or with a larger number of golfers hitting just one ball?