An industrial sewing machine uses ball bearings that aretargeted to have a diameter of 0.73 inch. The lower and upperspecification limits under which the ball bearing can operate are0.715 inch​ (lower) and 0.745 inch​ (upper). Past experience hasindicated that the actual diameter of the ball bearings isapproximately normally​ distributed, with a mean of 0.734 inch anda standard deviation of 0.006 inch. Suppose a random sample of 22ball bearings are selected. Complete parts​ (a) through​ (e). Whatis the probability that the sample mean is between the target andthe population mean of 0.734​? What is the probability that thesample mean is between the lower specification limit and the​target? What is the probability that the sample mean is greaterthan the upper specification​ limit? What is the probability thatthe sample mean is less than the lower specification​ limit? Theprobability is 92​% that the sample mean diameter will be greaterthan what​ value?
