The quality control manager of Ridell needs to estimate the mean breaking point of a large shipment of helmets sent over to the Philadelphia Eagles. Given the productionprocess, the known standard deviation of the population of breaking points is 5:5 lbs. Arandom sample of 81 helmets indicated an average breaking point of 150 lbs.(a) What are the values from the z distribution associated with a 95% condence interval?(b) Using your answer to (a) and the data, construct a 95% condence interval estimationof the mean breaking point of helmets in the population.(c) Repeat the estimation in part (b) using a 99% condence interval.(d) Briey explain how your answers in (b) and (c) differ.(e) Suppose the Eagles demand a sampling error of 0:5 lbs. Using a 95% confidence interval, how big should the sample size be?