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Quiz 4 (Page 2)

# Quiz 4 (Page 2) - —_1 IME326 Engineering Test Design and...

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Unformatted text preview: —__1 IME326 Engineering Test Design and Analysis 6. In testing the difference between two population means, which of the following assumptions is not true for the two — sample procedure that uses a pooled' estimate of the common variance 02 '2 a. The two samples must be independent of each other 13. e two samples must be small and selected at random from the populations we populations from which the samples are drawn must be t — distributed . The population variances should be equal or nearly equal 7. 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 o; = 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 performed 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 15.96 15.98 16.02 15.9 Machine 2: 16.02 15.97 15.96 16.01 15.99 16.03 16.04 16.02 16.01 16.0 a) State the hypotheses that should be tested in this experiment L19: {913/71- 11-2M-r‘m/ b) Test these hypotheses using or = 0.05. What are your conclusions? €7_(I§gl] {1.1445 5:. _01550 SC fennel; 9 0 17 1 , (salt—11.065 K‘ 5x2 T—T— : N = 1. “f; 1.33. my + L”? 35 / ’1. VI; [Cl I D C) Find the P-value for the test in part b) ..1 } 1m _038;'L:i.l77i mtg ‘ l-3£ ' \/ d) Construct a 99% conﬁdence interval on the difference in mean ﬁll volume for the two machines. 4;.575 _ ﬂ .HECI _ ME= sE-LLF'S 42”- Y; ~7_: M re Mt‘ .0454 H.411: .01 .0] Lots? )F( “.0034, '0234)/X Page 2 of 3 ...
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