Stuck on these questions, Calculate the probability of a Type II error for the following test of hypothesis, given that = 420, Ho: = 400; HA: 400, =...

Stuck on these questions, Calculate the probability of a Type II error for the following test of hypothesis, given that  = 420, Ho:

 = 400; HA:   400,  = 0.05,  = 50, n=75.

a. 0.9495.

b. 0.0668.

c. 0.0344.

d. 0.0655.

Calculate the probability of a Type II error for the following test of hypothesis, given that  = 380, Ho:

 = 400; HA:  < 400,  = 0.01,  = 50, n=75.

a. 0.0099

b. 0.1292

c. 0.0120

d. 0.3708