An airplane manufacturer intends to establish a component acceptance criterion that is based on sound statistical techniques. Preliminary tests on 61 acceptable components have estimated that the mean load to produce failure is 500 psi with standard deviation of 25 psi. Based on this information, give (a) an estimate, with 99% confidence, of value of the next , 62nd, measured load to produce failure, (b) an estimate, with 99% confidence, of true mean load to produce failure, and (c) an estimate, with 98% confidence, of the true variance. Finally, the manufacturer wants to be 99% confident that if the batch sample meets the acceptance criterion. (d) Determine the range of sample standard deviation values in psi that the batch sample can have and still meet the test criterion.