The diameter of 4.5 inches is normally distributed. periodically, quality control inspectors at dallas diskettes randomly select a sample of nine diskettes. If the mean diamter of the discs is too large or too small, the disc punch is shut down for adjustment; otherwise, the punching process continues. The sample showed a mean of 4.55 inches. Assume that the population standard deviation is .06 inches.
Ho: = 4.5
Ha: does not = 4.5
A.) Find the rejection Region Method answer
B.) Find the P value Method answer
C.) Find the Confidence Interval Method Answer
D.) Assuming that %u1D9B = .01, what is the power of the test when the mean diamter of the manufactured disc is really 4.55 inches.
E.) What sample size is needed to achieve power of .80 when the mean diamter of the manufactured disc is 4.55 inches assuming the significance level remains at .01?