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Hypothesis Testing on Golf Ball Diameter Size

The United States Golf Association requires that golf balls have a diameter that is 1.68 inches. An engineer for the USGA wishes to determine whether Maxfli XS golf balls have a mean diameter which is different from the 1.68. A random sample of 12 Maxfli XS golf balls was chosen. The mean diameter of the sample was 1.6809 with a standard deviation of 0.0044. Test the engineer's claim at the 5% level of significance.

1. State the Null Hypothesis and the Alternative Hypothesis
2. Determine the test statistic.
3. Determine the P-value
4. Make a decision regarding the hypotheses based on the P-value and the Level of Significance.

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