bolt manufacturer is using a hypothesis test with a = 0.02 to see if their0.75 cm diameter bolts are being manufactured properly. The goal is to have theaverage bolt diameter be 0.75 0.007 cms, Based on past experience, they take thepopulation standard deviation of the 0.75 cm bolts to be 0.007 cm. They wish to have apower of 0.92.a. All specifications being equal, suppose they decide they need a power of 0.98Will the necessary sample size be greater, less than, or equal to that computed inpart a? Briefly explain your answer.b. Suppose they decide that the power can be 0.92 (as in part a), but the test shouldbe conducted using a = 0.01. All other inputs being equal, will the necessarysample size be greater, less than, or equal to that computed in part a. Brieflyexplain your answer.