Probability of Type II Error.
A production process assumes a population mean of µ = 80. Regularly 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 procedure is not working properly. Using this information, calculate Beta risk (probability of Type II error) if the true population mean really is 77.