Question: The gasoline price often varies a great deal across different regions across country X. The following data show the price per gallon for regular gasoline for a random sample of a gasoline service station for three major brands of gasoline (A, B, and C) located in 10 metropolitan areas across the country X.ABC3.773.833.783.723.833.873.873.853.893.763.773.793.833.843.873.853.843.873.934.043.993.783.783.793.793.843.793.813.843.86a. State the null and alternative hypothesis for single-factor ANOVA to test for any significant difference in the mean price of gasoline for the three brands.b. State the decision rule at 5% significance level.c. Calculate the test statistic. d. Based on the calculated test statistics decide whether any significant difference in the mean price of gasoline for three bands.Note: No excel ANOVA output allowed. Students need to show all the steps in calculations.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Question: The gasoline price often varies a great deal across different regions across country X. The following data show the price per gallon for regular gasoline for a random sample of a gasoline service station for three major brands of gasoline (A, B, and C) located in 10 metropolitan areas across the country X.

A	B	C
3.77	3.83	3.78
3.72	3.83	3.87
3.87	3.85	3.89
3.76	3.77	3.79
3.83	3.84	3.87
3.85	3.84	3.87
3.93	4.04	3.99
3.78	3.78	3.79
3.79	3.84	3.79
3.81	3.84	3.86

a. State the null and alternative hypothesis for single-factor ANOVA to test for any significant difference in the mean price of gasoline for the three brands.
b. State the decision rule at 5% significance level.
c. Calculate the test statistic.
d. Based on the calculated test statistics decide whether any significant difference in the mean price of gasoline for three bands.
Note: No excel ANOVA output allowed. Students need to show all the steps in calculations.

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