The p-value is select: less than .05, between .05 and .125, between .025 and .05

Question

The p-value is select: less than .05, between .05 and .125, between .025 and .05, between .05 and .10, or greater than .05.

What is your conclusion select: Conclude that there is a significant difference in the mean price per gallon. or Conclude that there is no significant difference in the mean price per gallon.

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 Shell 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 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, Source Metropolitan Area Brand DF MS Error Total The p-value is 1-Select your answer- . What is your conclusion? Select your answer -

Explanation / Answer

from above data:

below is ANOVA table"

p-value is select less than .05 ; Conclude that there is a significant difference in the mean price per gallon.

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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