The mean breaking strength of yarn employed in manufacturing drapery material is needed to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.5 psi. A random sample of nine specimens is tested, and the average breaking strength is found to be 100.6 psi. Test the hypothesis that the mean breaking strength is larger than 100 psi by setting the null and alternative hypotheses. Use alpha = .05.
a) Determine the numerical value of your test statistic, z0? Answer to two decimal places.
b) Compute the p-value resulting from the test of Part I? Answer to three decimal places.
c) Estimate the probability of Type II error for the hypothesis test of Part I if the true population mean is 101.3 psi? Answer to three decimal places