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The price drivers pay for gasoline often varies a great deal across regions throughout the United States. The following data show the price per gallon for regular gasoline for a random sample of gasoline service stations for three major brands of gasoline (Shell, BP and Marathon) located in 11 metropolitan areas across the upper Midwest region.T Metropolitan Area She BP Marathon Akron, Ohio Cincinnati, Ohio Cleveland, Ohio Columbus, Ohio Ft. Wayne, Indiana Indianapolis, India 3.85 3.84 Lansing, Michigan Lexington, Kentucky 3.79 3.78 Louisville, Kentucky 3.78 3.84 Muncie, Indiana Toledo, Ohio 3.77 3.83 3.72 3.8:3 3.87 3.85 3.76 3.77 3.83 3.84 3.78 3.87 3.89 3.79 3.87 3.87 3.99 3.79 3.93 4.04 3.79 3.81 3.84 3.83 3.69 3.83 3.86 Use 0.05 to test for any significant difference in the mean price of gasoline for the three brands State the null and alternative hypotheses Ho: klShell # BP # Marathon На: LiShell-uBP- Marathon O H: Not all the population means are equal a. Shell-MBP- Marathon O H: At least two of the population means are equal Ha: At least two of the population means are different. P-Prarathon Ha: Not all the population means are equal O Ho: Hshell BpMarathon Ha : lshell # BP # Maratho

Find the value of the test statistic. (Round your answer to two decimal places.) 1.77 Find the p-value. (Round your answer to three decimal places.) p-value = 0.187 State your conclusion. Reject Ho There is sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands ⓔ Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean price per O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the mean price price per gallon for regular gasoline among the three brands. gallon for regular gasoline among the three brands per gallon for regular gasoline among the three brands

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