In: Statistics and Probability
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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