An airplane manufacturer intends to establish a component acceptance criterion that is based upon sound statistical methods. preliminary tests on 61 acceptable components have determined that the mean load to produce component failure is 500 psi with a standard deviation of 25 psi. based upon this information, provide (a) an estimate, with 99 % confidence, of the value of the next (the 62nd) measured load to produce failure, (b) an estimate, with 99 % confidence, of the 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.