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##### AMS 110 Pretest E Assignment Solution

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Question;I) A lab is comparing a test drug to a standard drug that is useful to patients having high blood pressure. The standard therapy was administered to patients with comparable hypertension and the responses to therapy were classified into one of 4 response categories:Marked decrease in blood pressure 50%Moderate decrease in blood pressure 25Slight decrease in blood pressure 10Stationary 15The lab then conducted a clinical trial with a random sample of 200 patients with high blood pressure on the test drug. Observed cell counts for the four categories were 120, 60, 10 and 10. Is this the same distribution as presented for the standard drug?What test is appropriate for this problem?State the null and alternate hypothesesFind the expected cell countsFind the test statisticHow many degrees of freedom will you use?Find the critical valueEstimate the p-value. This is the probability of being more extreme (on the right side) then the test statistic.What is your conclusion?II) Is there a relationship between the IQ of workers and their job performance? A sample of 400 casesyielded the following results:IntelligenceBelowAverageAverageAboveAverageTotalPoor67Fair64Good25421076235637Find the matrix of expected values:What test is appropriate for this problem?State the null and alternate hypothesesFind the test statisticHow many degrees of freedom will you use?Find the critical valueTotal3Estimate the p-valueWhat is your conclusion at alpha =.10?III) Samples of the members of five different labor unions were asked whether they are for or against acertain piece of legislation:ForAgainstUnion 17426Union 28119Union 36931Union 47525Union 5919TotalUse the 1% level of significance to test the null hypothesis that the corresponding true proportions are allequal.Find the matrix of expected values:What test is appropriate for this problem?State the null and alternate hypothesesFind the test statisticHow many degrees of freedom will you use?Find the critical valueEstimate the p-valueWhat is your conclusion?IV) The following is the gas mileages of 10 randomly selected cars, with and w/o a new gasoline additiveDoes the gasoline additive improve gas mileage? Alpha =.05Car12345678910Gas mileageWith additive2520281819122982310Gas mileageWithout additive25192812179268229DifferencedWhat test is appropriate for this problem?State the null and alternate hypotheses5Find the critical value (s)Find the test statisticEstimate the p-valueWhat is your conclusion?If this test were two sided, testing whether mean mileage with and without additive is the same, at alpha =.10,state the null and alternate hypotheses, draw the null distribution showing the critical values and find theconfidence interval for the mean difference in mileage with and without additive. Reach a conclusion usingthis confidence interval and the hypothesized difference from your null hypothesis.V) Does a dynamic system reduce the operative time relative to a static system. The following data onoperative times, in minutes, for the 2 systems is given. At the 1% significance level, does the data providesufficient evidence to conclude that the mean operative time is less with the dynamic system than with thestatic system?Dynamic370360500Static430445510445295315455455490490345450505335280535What test are you going to use? Please justify your decision by conducting an F test at alpha=.20325Now please perform the appropriate comparison of means testState the null and alternate hypothesesCompute the degrees of freedomCompute the test statisticFind the critical value (s)Estimate the p-value from the appropriate row of the t tableDraw a conclusion

Paper#60275 | Written in 18-Jul-2015

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