Amachine that grinds valves is set to produce valves whose lengths have mean 100 mm and standard deviation 0.1 mm. the machine is moved to a new location. it is thought that the move may have upset the calibration for the mean length, but that it is unlikely to have changed the standard deviation. let µ represent the mean length of valves produced after the move. to test the calibration, a sample of 100 valves will be ground, their lengths will be measured, and a test will be made of the hypotheses h0: µ=100 versus h1: µ≠100. find the rejection region if the test is made at the 5% level? if the sample mean length is 99.97 mm, will h0 be rejected at the 5% level?