The U.S. Golf Association requires that golf balls have a diameter that is 1.68 inches. To...

The U.S. Golf Association requires that golf balls have a diameter that is 1.68 inches. To determine if Maxﬂi XS golf balls conform to USGA standards, a random sample of Maxﬂi XS golf balls was selected. Their diameters are shown in the table.

1.683	1.677	1.681	1.685	1.678	1.686
1.684	1.684	1.673	1.685	1.682	1.674

Do the golf balls conform to USGA standards? Use the α = 0.1 level of signiﬁcance.
(a) Find the mean and standard deviation of the data. Round your answer to four decimal places.
(b) Set up the null and alternative hypotheses.
(c) State the conditions which must be satisﬁed in order to perform the test.
(d) Compute the test statistic. Round your answer to three decimal places.
(e) Determine the P-value. Round your answer to four decimal places.
(f) Assume that the conditions to conduct a test are satisﬁed. Make a decision and state the conclusion.

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