The diameter of holes for cable harness is known to have a standard deviation of 0.01 inches. A random sample of size 10 yields an average diameter of 1.5045 inches. Use a 0.01 level of significance.  a. Test the hypothesis that the true mean hole diameter equals 1.50. b. What is the P-value for this test? c. What size sample would be necessary to detect a true mean hole diameter of 1.505 inches with a probability of at least 90%

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The diameter of holes for cable harness is known to have a standard deviation of 0.01 inches. A random sample of size
10 yields an average diameter of 1.5045 inches. Use a 0.01 level of significance. 
a. Test the hypothesis that the true mean hole diameter equals 1.50.
b. What is the P-value for this test?
c. What size sample would be necessary to detect a true mean hole diameter of 1.505 inches with a probability of at least
90%
d. What is the probability of committing a type 2 error if the true diameter is 1.505 inches?
e. Find a 99% confidence interval on the mean hole diameter.

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