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).

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.

Source DF SS MS    F P    Metropolitan Area Brand Total Error Metropolitan Area Akron, Ohio Cincinnati, Ohio Cleveland, Ohio Columbus, Ohio Ft. Wayne, Indiana Indianapolis, Indiana Lansing, Michigan Lexington, Kentucky Louisville, Kentucky Muncie, Indiana Toledo, Ohio She 3.77 3.72 3.87 3.76 3.83 3.85 3.93 3.79 3.78 3.81 3.69 BP 3.83 3.83 3.85 3.77 3.84 3.84 4.04 3.78 3.84 3.84 3.83 Marathon 3.78 3.87 3.89 3.79 3.87 3.87 3.99 3.79 3.79 3.86 3.86

Explanation / Answer

H0: There is no significant difference in the mean price of gasoline for the three brands

H1: There is significant difference in the mean price of gasoline for the three brands

ANOVA Table:Using MiniTab

Two-way ANOVA: Price per gallon versus Metropolitan Area, Major Brands

Source                     DF        SS         MS             F      P
Metropolitan Area    10 0.108006 0.0108006 8.30 0.000
Major Brands             2 0.015836 0.0079182 6.08 0.009
Error                        20 0.026030 0.0013015
Total                        32 0.149873

S = 0.03608   R-Sq = 82.63%   R-Sq(adj) = 72.21%

Hope this will helpful. Thanks :-)

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.