# HW_08 - Garcia 1 Victor Garcia STAT 312-074 HW 08 Due...

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Garcia 1Victor GarciaSTAT 312-074HW 08: Due Monday, 15 Nov 2010§9.7: P. 446 # 9.35, 9.36§10.4: PP. 484-486 # 10.2, 10.3, 10.4, 10.5§9.7#9.35: Ho: µabcd; Ha: not all µ’s are equalDrug RegimenObs. ResultABCDTotalsSevere7147857548203073Not Severe963095439042955737772Totals103441032897961037740845a)At α=0.05, the χ2test on the ti-83 yeilds: (if Ho is true)Drug RegimenExp. ResultABCDTotalsSevere778.24777.03737.01780.723073Not Severe9565.769550.979058.999596.2837772Totals103441032897961037740845This also yields a p-value of .0387 and a test statistic of 8.383 (which is just outside the critical value for this distribution). Since the p-value is less than α=0.05, there is evidence to suggest that there is a significant difference between the four drug regimens with respect to the proportion of patients suffering severe adverse events.b)It may be worth it for an investigation of which method is the most effective. TPA costs 10 times as much as streptokinase does, and if it turns out to be just as or less effective than the streptokinase the community can save a large amount of money on this drug regimen. #9.36: Ho: µ12345; Ha: not all µ’s are equalParts inspectionObs. ResultMondayTuesdayWednesdayThursdayFridayDefective12771014Acceptable8893939086Totals100100100100100
Garcia 2a)At the 0.05 level of significance, the χ2test reveals (p-value=.3767)>(α=.05), and the test statistic=4.2222 (using df=4) is well inside the critical value for χ2. This lets us conclude that there is not enough evidence of a significant difference (and thus to reject the null hypothesis) in the proportion of defective parts produced on the various days of the week.b)If on Friday 24 defective parts were produced, then the χ2test statistic is 18.75 (well outside the 95% C.I. for chi-squared) and the p-value is well below alpha, indicating that there is a significant evidence to reject the null hypothesis and conclude that one day of the week is significantly different than the rest with respect to defective parts produced.