(See Solution) 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%,


Question: 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.

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