The price drivers pay for gasoline often varies a great deal across regions thro

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 eleven metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012).

Reference the data below: (Both tables below are the same, top one is for copy paste if you need)

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.

*Please fill in blanks

The p-value is (Select one): less than .05, between .05 and .125, between .025 and .05, between .05 and .10, greater than .05.

What is your conclusion? (Select one)
Conclude that there is a significant difference in the mean price per gallon. / Conclude that there is no significant difference in the mean price per gallon.

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

Explanation / Answer

applying two way ANOVA witout replcation on above data:

p-value is less than .05

Conclude that there is a significant difference in the mean price per gallon

please revert for any clarificaiton required

Source of Variation df SS MS F P-value metropolitan Area 10 0.108024 0.010802 8.39 0.000 brand 2 0.016927 0.008464 6.58 0.006 Error 20 0.025739 0.001287 Total 32 0.150691

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