Using SAS to solve the question.

2.23 Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling processes can be assumed to be normal, with standard deviations of of = 0.015 and o, = 0.018. The quality engineering department suspects that both machines fill to the same net volume, whether or not this volume is 16.0 ounces. An experiment is per- formed by taking a random sample from the output of each machine.Machine 1 16.03 16.04 16.05 16.05 16.02 16.01 l5.96 IS.98 16.02 15.99 Machine 2 16.02 16.03 15.97 1 6.04 15.96 1 6.02 16.01 [6.01 15.99 16.00 (a) State the hypotheses that should be tested in this exper- iment. (1)) Test these hypotheses using a = 0.05. What are your conclusions? (c) Find the P-value for this test. (d) Find a 95 percent condence interval on the difference in mean ll volume for the two machines