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Car Weight and Fuel Consumption Data Set 14 in Appendix B

Chapter 12, Problem 1RE

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QUESTION:

Car Weight and Fuel Consumption? Data Set 14 in Appendix B includes highway fuel consumption amounts for cars with 4 cylinders, 6 cylinders, and 8 cylinders. (The 5-cylinder Volvo S60 is excluded from this exercise.) Analysis of variance is used with the highway fuel consumption amounts (mi/gal) categorized according to the number of cylinders (4, 6, 8); the results are shown in the following display. Identify the null hypothesis, test statistic, and ?P?-value, and state the final conclusion in nontechnical terms.

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QUESTION:

Car Weight and Fuel Consumption? Data Set 14 in Appendix B includes highway fuel consumption amounts for cars with 4 cylinders, 6 cylinders, and 8 cylinders. (The 5-cylinder Volvo S60 is excluded from this exercise.) Analysis of variance is used with the highway fuel consumption amounts (mi/gal) categorized according to the number of cylinders (4, 6, 8); the results are shown in the following display. Identify the null hypothesis, test statistic, and ?P?-value, and state the final conclusion in nontechnical terms.

ANSWER:

Solution 1RE Step 1: The given data is based on the highway fuel consumption amounts for three different categories of cars with 4 cylinders, 6 cylinders and 8 cylinders. Null hypothesis(H )0 t he null hypothesis states that,the three different categories of cars have same mean highway fuel consumption. Symbolically, H 0 1 = 2 . 3 Where , = the mean highway fuel consumption of cars having 4 cylinders. 1 = the mean highway fuel consumption of cars having 6 cylinders. 2 3 the mean highway fuel consumption of cars having 8 cylinders.

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