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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:

ho: 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 decreasing α.

ho: 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 decreasing α.

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