1.In order to test a hypothesis

Ho: u = 5Ha: u < 5

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

a)Compute the power of the test (a = 0.05 ) if the sample size is 45 and the true mean is 4.75.

b)Compute the power of the test (a = 0.05 ) if the sample size is 60 and the true mean is 4.75.

c)Compute the power of the test if a = 0.1 if the sample size is 45 and the true mean is 4.75.