h0: m = 120 and ha: m Þ 120 are used to test whether a bath soap production process ismeeting the standard output of 120 bars per batch. use a .05 level of significance for thetest 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 ofconcluding that the standard production output is not being met. How large a sampleshould be selected?b. with your sample size from part (a), what is the probability of concluding that theprocess is operating satisfactorily for each of the following actual mean outputs: 117,118, 119, 121, 122, and 123 bars per batch? that is, what is the probability of a typeii error in each case?
h0: m = 120 and ha: m Þ 120 are used to test whether a bath soap production process is
meeting the standard output of 120 bars per batch. use a .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 part (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, and 123 bars per batch? that is, what is the probability of a type
ii error in each case?
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