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).

Click on the webfile logo to reference the data.

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 7 decimals, F to 2 decimals and p to 3 decimals, if necessary.

The p-value is - Select your answer -less than .05between .05 and .125between .025 and .05between .05 and .10greater than .05Item 16 .

What is your conclusion?
- Select your answer -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.Item 17

Source DF SS MS F p Metropolitan Area Brand Error Total file WEB

Explanation / Answer

from above after applying two way ANOVA without replication

here P value =  -less than .05

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

Source of Variation SS df MS F P-value F crit Metropolitan Area 0.108006 10 0.010801 8.298487 3.52E-05 2.347878 Brand 0.015836 2 0.007918 6.083818 0.008632 3.492828 Error 0.02603 20 0.001302 Total 0.149873 32

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