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Question 4: Week 9 Question 2, (11 Marks)
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 |
- 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)
- State the decision rule at 5% significance level. (2 marks)
- Calculate the test statistic. (6 marks)
- Based on the calculated test statistics decide whether any significant difference in the mean price of gasoline for three bands. (2 marks)
Note: No excel ANOVA output allowed. Students need to show all the steps in calculations.
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