In quality control applications of hypothesis testing, the null and alternative hypotheses are frequently specified as H,: The production process is performing satisfactorily Accordingly, a is sometimes referred to as the producer's risk, while p is called the consumer's risk (Stevenson, Production/Operations Management, 1996).
An injection molder produces plastic golf tees. The process is designed to produce tees with a mcan weight of ,250 ounce. To investigate whether the injection molder is operating satisfactorily, 40 tees were randomly samplcd from thc last hour's production. Their weights (in ounces) are listed in the table above.
Summary statistics for the data are shown in the SAS printout at the top of this page.

a. Do the data provide sufficient evidence to conclude that the process is not operating satisfactorily? Test using a = .O1

b. In the context of this problem, explain why it makes sense to call a the producer's risk and P the consumer's risk.