O The price drivers pay for gasoline often varies a great deal across regions th
ID: 3044336 • Letter: O
Question
O 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 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 Shell BP Marathon 3.77 3.72 3.87 3.76 3.83 3.85 3.93 3.79 3.78 3.81 3.69 3.83 3.83 3.85 3.77 3.84 3.84 4.04 3.78 3.84 3.84 3.83 3.78 3.87 3.89 3.79 3.87 3.87 3.99 3.79 3.79 3.86 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. If your answer is zero, enter "O" Source Metropolitan Area Brand Error Total DF MS 10 0.108006 0.015836 0.026030 0.149873 0.010800 8.30 0.000 0.007918 6.08 0.009 20 0.001301 32 The p-value is less than.05 What is your conclusion?Explanation / Answer
applying two way ANOVA on above without replication:
( please revert for any clarification required)
SUMMARY Count Sum Average Variance 1 3 11.38 3.793 0.001 2 3 11.42 3.807 0.006 3 3 11.61 3.870 0.000 4 3 11.32 3.773 0.000 5 3 11.54 3.847 0.000 6 3 11.56 3.853 0.000 7 3 11.96 3.987 0.003 8 3 11.36 3.787 0.000 9 3 11.41 3.803 0.001 10 3 11.51 3.837 0.001 11 3 11.38 3.793 0.008 shell 11 41.8 3.800 0.005 BP 11 42.29 3.845 0.005 Marathon 11 42.36 3.851 0.004 ANOVA 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 0.150691Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.