Mathematics, 11.02.2020 18:55 paige1616
Two machines are used for filling plastic bottles with a netvolume of 16.0 ounces. The filling processes can be assumed tobe normal, with standard deviation of1 = 0.015 and2 = 0.018. The quality engineeringdepartment suspects that both machines fill to the same net volume, whether or not this volume is 16.0 ounces. An experiment isperformed by taking a random sample from the output of eachmachine.
Machine 1
Machine 2
16.03
16.01
16.02
16.03
16.04
15.96
15.97
16.04
16.05
15.98
15.96
16.02
16.05
16.02
16.01
16.01
16.02
15.99
15.99
16.00
(a) State the hypotheses that should be tested in thisexperiment
(b) Test thesehypotheses using =0.05. What are yourconclusions?
(c) What is theP-value for the test? P = 0.1770
(d) Find a 95percent confidence interval on the difference in the mean fillvolume for the two machines.
Answers: 1
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