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 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 3.79 3.78 3.79 3.78 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. (1 marks) b. State the decision rule at 5% significance level. (2 marks) c. Calculate the test statistic. (6 marks) 4 d. Based on the calculated test statistics decide whether any significant difference in the mean price of gasoline for three bands.
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 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
3.79 3.78 3.79
3.78 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. (1 marks)
b. State the decision rule at 5% significance level. (2 marks)
c. Calculate the test statistic. (6 marks)
4
d. Based on the calculated test statistics decide whether any significant difference in the mean
price of gasoline for three bands. (2 marks)
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