A company tests all new brands of golf balls to ensure that they meet certain sp

Question

A company tests all new brands of golf balls to ensure that they meet certain specifications. One test conducted is intended measure the average distance traveled when the ball is hit by a machine. Suppose the company wishes to estimate the mean distance for a new brand to within 2 yards with 95% confidence. Assume that past tests have indicated that the standard deviation of the distances the machine hits golf balls is approximately 10 yards. How many golf balls should be hit by the machine to achieve the desired accuracy in estimating the mean? The machine should hit golf balls to achieve the desired accuracy in estimating the mean (Round up to the neatest golf ball.)

Explanation / Answer

Answer:

Sample size for single mean

For 95%, z=1.96

d=2

sd=10

Sample size = (z2*s2)/d2

= (1.962*102)/22

=96.04

The sample size required= 97

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