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= 89, n = 45 = 6. Assume that a new chemical process has been developed that may

ID: 3158101 • Letter: #

Question

= 89,

n = 45

= 6.

Assume that a new chemical process has been developed that may increase the yield over that of the current process. The current process is known to have a mean yield of 85 and a standard deviation of 6, where the units are the percentage of a theoretical maximum. If the mean yield of the new process is shown to be greater than 85, the new process will be put into production. Let denote the mean yield of the new process. It is proposed to run the new process 45 times and then to test the hypothesis

H0: 85  versus  H1: > 85

at a significance level of 5%. Find the power of this test for the mean yield of the new process under the alternative

= 89,

assuming

n = 45

and

= 6.

The critical point has a zscore of 1.645.

The power is  .

Explanation / Answer

The power is 0.9977

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