Week2Assignment

# 421 using an alpha of 005 is the f statistic

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What is the value of F? 4.21 Using an alpha of 0.05, is the F statistic significant? Insignificant Why? F is less than the alpha of 6.59. Copy and Paste your work from StatCrunch into your Word document submission. Analysis of Variance results: Responses: 12-PSS Factors: 12 -Smoking Status Response statistics by factor 12 -Smoking Status n Mean Std. Dev. Std. Error Non-Smokers 5 21.8 4.5497253 2.034699 Quitters 5 28.8 4.3243497 1.933908 Smokers 5 27.8 3.4205263 1.5297059 ANOVA table Source DF SS MS F-Stat P-value 12 -Smoking Status 2 143.33333 71.666667 4.2074364 0.0412 Error 12 204.4 17.033333 Total 14 347.73333 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-1 B-1 Z-1 45 55 54 62 55 52

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50 54 41 65 44 40 62 52 38 50 69 39 50 58 51 58 45 64 Using 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? Null = no change in mileage vs motorcycle model. Alternate = change in mileage vs motorcycle model. What is the value of F ? 2.12 Using an alpha of 0.05, is the F statistic significant ? Insignificant Why? F is less than the CV of 19.16. Copy and Paste your work from StatCrunch into your Word document submission for full credit. Analysis of Variance results: Responses: 13-MPG Factors: 13- Cycle Response statistics by factor 13- Cycle n Mean Std. Dev. Std. Error B-1 8 54 7.8193898 2.7645718 X-1 8 55.25 7.3824115 2.6100766 Z-1 8 47.375 9.3187599 3.2946792 ANOVA table Source DF SS MS F-Stat P-value 13- Cycle 2 286.58333 143.29167 2.1230267 0.1446 Error 21 1417.375 67.494048 Total 23 1703.9583 14. For each of the following F values, indicate whether the F is statistically significant at the specified alpha level: a. F = 4.80, df = 4, 40 α = 0.01 S b. F = 5.02, df = 3, 60, α = 0.001 NS c. F = 3.45, df = 3, 27, α = 0.05 S d. F = 1.99, df = 2, 150, α = 0.05 NS e. F = 3.09, df = 2, 250, α = 0.05 S

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