Par, Inc. is a manufacturer of golf equipment and has developed a new golf ball
ID: 3430541 • Letter: P
Question
Par, Inc. is a manufacturer of golf equipment and has developed a new golf ball that has been designed to provide extra distance.? In a test of driving distance using a mechanical driving device, a sample of Par golf balls was compared with a sample of golf balls made by Rap, Ltd., a competitor. We want to determine whether or not there is a significant difference between the two balls
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Sample #1 Sample #2
Par, Inc. Rap, Ltd.
Sample Size n1 = 120 balls n2 = 80 balls
Mean = 235 yards = 218 yards
Standard Deviation s1 = 15 yards s2 = 20 yards
Point Estimate of the Difference Between Two Population Means
m1 = mean distance for the population of
Par, Inc. golf balls
m2 = mean distance for the population of
Rap, Ltd. golf balls
Point estimate of m1 - m2 = = 235 - 218 = 17 yards.
95% Confidence Interval Estimate of the Difference Between Two Population Means: Large-Sample Case, s1 ands2 Unknown
Substituting the sample standard deviations for the population standard deviation:
X1-x2+ z sqrt (sigma1^2 /n1 + sigma2^2 /n2 )=17+ - 1.96 sqrt (15^2 /120 + 20^2 /80)
= 17 + 5.14 or 11.86 yards to 22.14 yards.
We are 95% confident that the difference between the mean driving distances of Par, Inc. balls and Rap, Ltd. balls lies in the interval of 11.86 to 22.14 yards
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