A tire manufacturer produces tires that have a mean life if at least 22,500 miles when the production process is working properly. The operations manager stops the production process if there is evidence that the mean life of the tires is below 22,500 miles. The testable hypotheses in this situation are:

H0: =22,500versusHA: <22,500.

To monitor the production process, the operations manager takes a random sample of 30 tires each week and subjects them to destructive testing. They calculate the mean life,x miles.

Using this decision rule, what is thepowerof the test if the actual mean life of the tires is 21,650 miles? That is, what is the probability they will rejectH0 when the actual average life of the tires is 21,650 miles?Round your answer to4 decimal places.