As part of their process control program, a manufacturer is investigating a production process where the parts are designed to have a mean weight of 12 g

and a standard deviation of 0.5g. Their consultant wants to test a hypothesis Ho: u(mu)= 12 against H1=u(mu)<12 with a random sample of 4

specimen.

What is the probability of type ll error if the true mean is 11.59g and alpha=0.05 and n =4.?

Calculate the P-value if the observed statistic is X bar =11.25.