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An experimental bumper was designed to reduce damage in low-speed collisions. This bumper was installed on an experimental group of vans in a large fleet, exactly not on a control group. At the expiry of a trial period, accident data showed 12 location incidents for the experimental group and 9 repair incidents for the control group. fomite downtime (in days per repair incident) is shown at a lower place. At ?= .05, did the new bumper reduce downtime? (a) drive ahead stacked dot plots of the data (a sketch is OK). (b) devolve in the hypotheses. (c) State the decision ascertain and sketch it. (d) fuck off the leaven statistic. (e) engender a decision. (f ) Find the p-value and interpret it. (g) Do you think the dissimilitude is large enough to be all important(p)? Explain. (Data are from an unpublished study by Floyd G. Willoughby and Thomas W. Lauer, Oakland University.) freshly bumper (12 repair incidents): 9, 2, 5, 12, 5, 4, 7, 5, 11, 3, 7, 1 comprise group (9 repair incidents): 7, 5, 7, 4, 18, 4, 8, 14, 13 Solution a) Dot plot of the data is devoted below [pic] [pic] b) The unimportant and alternative hypothesis are [pic] and [pic]. c) Assuming lucifer variance, at ? = 0.05, from Students t distribution with [pic] = 12 + 9 2 = 19 degrees of freedom, the critical value of the test is obtained as 1.729. Thus, the decision rule is Reject H0 if [pic] < 1.729. The sketch of the do away withion region is devoted below.

[pic] d) The test statistic is accustomed by, [pic], where [pic]. From the given up data, [pic] = 5.92, [pic]= 8.89, [pic] = 3.42, [pic] = 4.96. Therefore, [pic]= 17.148 Thus, [pic] = 1.6 3. e) Since t = 1.63 > 1.729, we disre! gard to reject the null hypothesis. f) The p-value of the test is given by, P[ t < -1.63] = 0.06 The decision rule using p-value is reject the null hypothesis Ho if p-value < 0.05. Since the p-value > 0.05, we fail to reject the null hypothesis. This is a close decision. g) A ingest difference of approximately 3 days downtime would be considered...If you necessitate to get a encompassing essay, order it on our website: OrderEssay.net

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