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