Probability of Type II Error.
A production process assumes a population mean of µ = 80.
Periodically this procedure is tested.
A Sample of n =100 is taken.
The standard deviation = 8
The firm has already decided that any sample mean below 78 or above 82 will signal the workers that the process is not working properly.
Using this information, calculate Blpha risk (probability of Type II error) if the true population mean actually is 81.