In order to test a hypothesis

Ho: =5Ha: <5

a sample of subjects were randomly selected. Suppose the population is Normal with mg/l.

a)Compute the power of the test (if the sample size is 45 and the true mean is 4.75.

b)Compute the power of the test () if the sample size is 60 and the true mean is 4.75.

c)Compute the power of the test if if the sample size is 45 and the true mean is 4.75.

Please show your work! Thank you