Assume that your firm, Daulton & Weed, CPAs, has been approached by a Tempest, a golf ball manufacturer to attest to the average drive distance that Tempest€™s new GOFAR ball can be driven. Tempest has presented you the following four possible assertions:
a. The GOFAR ball goes an average of X yards when hit by LongBall, a mechanical golf ball hitting machine with a precision of + 1 yard.
b. The GOFAR ball goes an average of X yards when hit by LongBall, a mechanical golf ball hitting machine with a precision of + 2 yards.
c. The GOFAR ball goes an average of X yards when hit with a driver by a random group of amateur golfers with a precision of + 1 yard.
d. The GOFAR ball goes an average of X yards when hit with a driver by a random group of amateur golfers with a precision of + 2 yards.
You have been provided the following table of results of prior tests of the GOFAR golf ball by the company.

You have determined that to attest to the assertion you would have to be 95 percent (1.96 coefficient) confident that the average distance is within the precision specified. You are aware that the required sample size to estimate the mean of a population is:

Required
a. Calculate the required sample size for each of the four assertions using classical variables sampling.
b. Discuss the effects of the following factors on the required sample size.
1. Standard deviation.
2. Level of precision.

Transcribed Image Text:

Average distance Standard deviation LongBall 320 yards 6 yards Amateur Golfers 240 yards 16 yards Coefficient for conf. level X Std. dev. Desired precision