# Question: a Calculate the probability of a Type II error for

a. Calculate the probability of a Type II error for the following hypotheses when µ = 37:

H0: µ = 40

H1: µ < 40

The significance level is 5%, the population standard deviation is 5, and the sample size is 25.

b. Repeat part (a) with α = 15%.

c. Describe the effect on β of increasing α.

H0: µ = 40

H1: µ < 40

The significance level is 5%, the population standard deviation is 5, and the sample size is 25.

b. Repeat part (a) with α = 15%.

c. Describe the effect on β of increasing α.

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