A coin-operated soft-drink machine is designed to discharge at least 7 ounces of beverage per cup with a standard deviation of 0.2 ounces. If you select a random sample of 16 cups and are willing to have an α = 0.05 risk of committing a Type I error, compute the probability of a Type II error (β) if the population mean amount dispensed is actually:
a) 6.9 ounces per cup
b) 6.8 ounces per cup.