# Suppose we wanted to compare the somatic complaints

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12.Suppose we wanted to compare the somatic complaints (as measured on a scale known as the Physical Symptom Scale or PSS) of three groups of people: non-smokers, smokers, and people who recently quit smoking. Using the following data for PSS, do a one-way ANOVA to test the hypothesis that the population means are equal:NonsmokersSmokersQuitters193130282922172229202929252834Using StatCrunch, determine the means for the three groups and compute the sums of squares, degrees of freedom, and mean squares for these data. What is the value of F? Using an alpha of 0.05, is the F statistic significant? Why? Copy and Paste your work from StatCrunch into your Word document submission.Analysis of Variance results:Responses: ScoreFactors: StatusResponse statistics by factorStatusnMeanStd. Dev.Std. ErrorNonsmoker521.84.54972532.034699Quitter528.84.32434971.933908Smoker527.83.42052631.5297059ANOVA tableSourceDFSSMSF-StatP-valueStatus2143.3333371.6666674.20743640.0412Error12204.417.033333Total14347.73333Our F statistic is 4.2074364
13.A new motorcycle is being developed to meet new gas mileage standards recently passed by the federal government. An engineer tested three model designs by randomly assigning the motorcycles in a blind study (the riders recorded the mileage but did not know the design of the motorcycle, only its code). The data in miles per gallon (MPG) for the three designs is listed below:X-1B-1Z-1455554625552505441654440625238506939505851584564Using StatCrunch, determine the means for the three groups and compute the sums of squares, degrees of freedom, and mean squares for these data. What are the hypotheses to be tested here? What is the value of F? Using an alpha of 0.05, is the Fstatistic significant? Why? Copy and Paste your work from StatCrunch intoyour Word document submission for full credit.Analysis of Variance results:Responses: MPGFactors: MotorcycleResponse statistics by factorMotorcyclenMeanStd. Dev.Std. ErrorB18547.81938982.7645718X1855.257.38241152.6100766Z1847.3759.31875993.2946792ANOVA tableSourceDFSSMSF-StatP-valueMotorcycle2286.58333143.291672.12302670.1446Error211417.37567.494048Total231703.9583F STAT: 2.1230267H0: μ1= μ2= μ3H1: μ1μ2μ3
14.For each of the following Fvalues, indicate whether the Fis statistically significant at the specified alpha level:a.F = 4.80, df = 4, 40 = 0.01SIGNIFICANTb.F = 5.02, df = 3, 60, = 0.001NOT SIGNIFICANTc.F = 3.45, df = 3, 27, = 0.05SIGNIFICANTd.F = 1.99, df = 2, 150, = 0.05SIGNIFICANTe.F = 3.09, df = 2, 250, αααα
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