6- A rental car company wants to investigate whether the type of car rented affects the length of the rental period. An

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6- A rental car company wants to investigate whether the type of car rented affects the length of the rental period. An

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6 A Rental Car Company Wants To Investigate Whether The Type Of Car Rented Affects The Length Of The Rental Period An 1
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6- A rental car company wants to investigate whether the type of car rented affects the length of the rental period. An experiment is run for one week at a particular location, and 10 rental contracts are selected at random for each car type. The results are show in the following table. Type of Car Observations Sub-compact 1 Compact 5 6 3 Midsize 2 Full Size 3 7 6 5 3 3 1 4 5 3 1 5 3 4 3 7 7 7 5 5 2 2 4 6 7 7 8 7 10 1 2 2 1 3 4 a. Is there evidence to support a claim that the type of car rented affects the length of the rental contract? Why? Use a=0.05 One-way ANOVA: Days versus Car Type Analysis of variance for Days Source DF SS MS F р Car Type 3 18,90 6.30 1.23 0.313 Error 36 184.60 5.13 Total 39 203.50

b. Analyze the residuals from the experiment and comment on the model adequacy. Normal Probability Plot response a Day XR Percer 5.0 5. 25 0.0 Reside Residuals Versus Flits (response Day Resid . . . . 1 B 55 3.5 Fted at

c. The following Minitab output summarizes the analysis of the data using the nonparametric Kruskal- Wallis test. Does the result support your condition in part a? Explain Kruskal-Wallis Test Car Type N Median Ave Rank z Compact 10 3.500 18.9 -0.50 Full Size 10 5.000 25.8 Midsize 10 3.500 17.3 -1.00 Sub-compact 10 4.000 20.1 -0.14 Overall 40 20.25 1.64 H-2.97 DF3 H=3.03 DF-3 P=0.397 P=0.387 (adjusted for ties) End!
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