SOLUTION: The U.S. Golf Association (USGA) requires that its golf balls have a diameter that is 1.68 inches. To determine if Maxfli XS golf balls conform to USGA standards, and random sampl

Question 1198013: The U.S. Golf Association (USGA) requires that its golf balls have a diameter that is 1.68 inches. To determine if Maxfli XS golf balls conform to USGA standards, and random sample of nine Maxfli XS golf balls was selected. Their diameters were as follows:
1.683, 1.684, 1.685, 1.685, 1.678, 1.686, 1.674, 1.673, 1.681
Assume that the population of diameters of Maxfli XS golf balls is approximately normal.
Determine the P-value for the appropriate hypothesis test. Round your answer to four decimal places.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
1.683, 1.684, 1.685, 1.685, 1.678, 1.686, 1.674, 1.673, 1.681
n = 9
x-bar = 1.681
s = .005
Ho: u = 1.68 (claim)
Ha: u ≠ 85 | two-tailed
Using .05 CI
t(1.681) = (1.681 - 1.68)/(.005/sqrt(9)) = .6
Using Excel function:
p-value(df8) =TDIST(0.6,8,2) = .565
.565 > .05 Fail to reject Ho, random sample supports the claim that u = 1.68

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