# Question

a. Determine β for the following test of hypothesis, given that µ = 310:

H0: µ = 300

H1: µ > 300

The statistics practitioner knows that the population standard deviation is 50, the significance level is 5%, and the sample size is 81.

b. Repeat part (a) with n = 36.

c. Describe the effect on β of decreasing n.

H0: µ = 300

H1: µ > 300

The statistics practitioner knows that the population standard deviation is 50, the significance level is 5%, and the sample size is 81.

b. Repeat part (a) with n = 36.

c. Describe the effect on β of decreasing n.

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