# Question

a. Find the probability of a Type II error for the following test of hypothesis, given that µ = 196:

H0: µ = 200

H1: µ < 200

The significance level is 10%, the population standard deviation is 30, and the sample size is 25.

b. Repeat part (a) with n = 100.

c. Describe the effect on β of increasing n.

H0: µ = 200

H1: µ < 200

The significance level is 10%, the population standard deviation is 30, and the sample size is 25.

b. Repeat part (a) with n = 100.

c. Describe the effect on β of increasing n.

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