Question: a) Calculate the probability of a type ii error for the following hypotheses when = 37: ho: = 40 h1: < 40

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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