Question

2.24. 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 ??? = 0.015 and ??? = 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 performed by taking a random sample from the output of each machine. Machine 1 16.03 16.01 16.04 15.96 16.05 15.98 16.05 16.02 16.02 15.99 Machine 2 16.02 16.03 15.97 16.04 15.96 16.02 16.01 16.01 15.99 16.00 (a) State the hypotheses that should be tested in this experiment. (b) Test these hypotheses using ?? = 0.05. What are your conclusions? (c) Find the P-value for this test. (d) Find a 95 percent confidence interval on the difference in mean fill volume for the two machines.

          2.24. 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 ??? = 0.015 and ??? = 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 performed by taking a random sample from the output of each machine.

Machine 1
16.03 16.01
16.04 15.96
16.05 15.98
16.05 16.02
16.02 15.99

Machine 2
16.02 16.03
15.97 16.04
15.96 16.02
16.01 16.01
15.99 16.00

(a) State the hypotheses that should be tested in this experiment.
(b) Test these hypotheses using ?? = 0.05. What are your conclusions?
(c) Find the P-value for this test.
(d) Find a 95 percent confidence interval on the difference in mean fill volume for the two machines.

2.24. 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 ??? = 0.015 and ??? = 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 performed by taking a random sample from the output of each machine.

Machine 1
16.03 16.01
16.04 15.96
16.05 15.98
16.05 16.02
16.02 15.99

Machine 2
16.02 16.03
15.97 16.04
15.96 16.02
16.01 16.01
15.99 16.00

(a) State the hypotheses that should be tested in this experiment.
(b) Test these hypotheses using ?? = 0.05. What are your conclusions?
(c) Find the P-value for this test.
(d) Find a 95 percent confidence interval on the difference in mean fill volume for the two machines.

Added by Isabel R.

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