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O orii A CSUF Portal - Home x Cengage x CengageNOW | Online teachin x O sic.cengagenow.com/ilrn/takeAssignment/takeAssignmentMain.do?takeAssignmentsessionLocator=assignment-take (Exercise 13.25} 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 eleven metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012). Click on the datafile logo to reference the data. DATA file Metropolitan Area Shell BP Marathon Akron, Ohio 3.77 3.83 3.78 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 3.84 3.87 Lansing, Michigan 3.93 4.04 3.99 Lexington, Kentucky 3.79 3.78 3.79 Louisville, Kentucky 3.78 3.84 3.79 Muncie, Indiana 3.81 3.84 3.86 Toledo, Ohio 3.69 3.83 3.86 Use & = .05 to test for any significant difference in the mean price of gasoline for the three brands. Round SS to 6 decimals, MS to 6 decimals, F to 2 decimals and p to 3 decimals, if necessary. Ss Source Metropolitan Area DF 10 O 0.10801 O MS 0.010801 8.30 O 0.000 O Brand 2 O Error 200 0.02603 O 0.001302 O 0.14987 Total 32 O The p-value is - Select your answer - 9. What is your conclusion? Conclude that there is a significant difference in the mean price per gallon. 4]Explanation / Answer
SSBand = 0.14987 - (0.02603 + 0.10801) = 0.01583
MSBand = 0.01583/2 = 0.007915
F = 0.007915/0.001302 = 6.08
P = 0.009
p - Value is less than 0.05.
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