Question

a manufacturing process is designed to produce bolts with a 0.75 in. diameter. once each day,a random sample of 36 boltsis selected and the diameter recorded. if the resulting sample mean is less than 0.730 in. or greater than 0.770 in.,the process is shut down for adjustment.the standard deviation for diameter is 0.04 in. what is the probability that the manufacturing line will be shut down unnecessarily.