What sample size would be required to detect a true mean dia

What sample size would be required to detect a true mean diameter as low as 1.495 inches if we wanted the power of the test to be at least 0.88?

For the hypothesis test Ho: H 12 against H1: H 12 with variance unknown and n 12, approximate the P value for the test statistic to 2.018 Round your answers to three decimal places (e.g. 98.765). S p s

Solution

This is a right tailed test, with df = n - 1 = 11, and t = 2.018.

Using table/technology, the P value is

table: 0.025 < P < 0.05 [ANSWER]
technology: P = 0.034325793 [ANSWER]

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