Question: Question on hypothesis test: H0: population mean = 120 and Ha: population mean =/= 120 are used to test whether a bath soap production process

Question on hypothesis test:

H0: population mean = 120 and Ha: population mean =/= 120 are used to test whether a bath soap production process is meeting the standard output of 120 bars per batch. Use a = 0.05 level of significance for the test and a planning value of 5 for the standard deviation.

a. If the mean output drops to 117 bars per batch, the firm wants to have a 98% chance of concluding that the standard production output is not being met. How large a sample should be selected?

b. With your sample size from (a), what is the probability of concluding that the process is operating satisfactorily for each of the following actual mean outputs: 117, 118, 119, 121, 122, 123 bars per batch? That ism what is the probability of a Type II error in each case?

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