3. DETAILS ASWSBE13 13.E.025.ALT. MY NOTES ASK YOUR TEACHER DATAfile: MidwestGas You may need to use the appropriate technology to answer this question. 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 Shell BP Marathon Akron, Ohio 3.7 3.8 3.7 Cincinnati, Ohio 3.72 3.83 3.87 Cleveland, Ohio 3.87 3.85 3.89 Columbus, Ohio 3.76 3.77 3.79 Ft. Wayne, Indiana 3.83 3.84 3.87 Indianapolis, Indiana 3.85 3.8 3.87 Lansing, Michigan 3.93 4.04 3.99 Lexington, Kentucky 3.79 3.78 3.79 Louisville, Kentuck 3.78 3.84 3.7 Muncie, Indiana 3.81 3.84 3.83 Toledo, Ohio 3.69 3.83 3.86 Use a = 0.05 to test for any significant difference in the mean price of gasoline for the three brands. State the null and alternative hypotheses O Ho: "shell F Hap F HMarathon He: "shell = Hap = HMarathon O H : " Shell = Hap = /Marathon H : Not all the population means are equal. O Ho: "Shell = Hep AMarathon He: "shell = Hap = Marathon O Ho: Not all the population means are equal. He: Hshell = Hap = /Marathon O H : At least two of the population means are equal. H : At least two of the population means are different. Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. O Do not reject Hy. 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. O Reject H. 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. Need Help? Read It