The mean breaking strength of yarn employed in manufacturing drapery material is needed to be at least 100 psi. Past experience has indicated that standard deviation of the breaking strength is 2.5 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi. Test the hypothesis that mean breaking strength is larger than 100 psi through setting up the null and alternative hypotheses. Use alpha = .05.
Determine the probability of the Type II error for the hypothesis test of Part I if the true population mean is 101.3 psi? Answer to three decimal places