The price drivers pay for gasoline often varies a great deal across regions throughout 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, and Marathon) located in 11 metropolitan areas across the upper Midwest region (OhioGasPrices.com website, March 18, 2012). Metropolitan Area Akron, OH Cincinnati, OH Shell BP Marathon 3.77 3.83 3.78 3.72 3.83 3.87 Cleveland, OH 3.87 3.85 3.89 Columbus, OH Ft. Wayne, IN Indianapolis, IN Lansing, MI Lexington, KY 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 Louisville, KY 3.78 3.84 3.79 Muncie, IN Toledo, OH 3.81 3.84 3.83 3.69 3.83 3.86 Use a = 0.05 to test for any significant difference in the mean price of gasoline for the three brands.

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The table below presents the price per gallon for regular gasoline from a random sample of service stations across the upper Midwest region of the United States. The data, collected on March 18, 2012, shows the prices for three major gasoline brands: Shell, BP, and Marathon, across 11 metropolitan areas.

| Metropolitan Area     | Shell | BP   | Marathon |
|-----------------------|-------|------|----------|
| Akron, OH             | 3.77  | 3.83 | 3.78     |
| Cincinnati, OH        | 3.72  | 3.83 | 3.87     |
| Cleveland, OH         | 3.87  | 3.85 | 3.89     |
| Columbus, OH          | 3.83  | 3.77 | 3.82     |
| Ft. Wayne, IN         | 3.83  | 3.84 | 3.87     |
| Indianapolis, IN      | 3.85  | 3.84 | 3.89     |
| Lansing, MI           | 3.95  | 3.82 | 3.86     |
| Lexington, KY         | 3.79  | 3.78 | 3.79     |
| Louisville, KY        | 3.79  | 3.84 | 3.79     |
| Muncie, IN            | 3.81  | 3.84 | 3.87     |
| Toledo, OH            | 3.69  | 3.83 | 3.86     |

**Instructions:** Use \(\alpha = 0.05\) to test for any significant difference in the mean price of gasoline for the three brands.

**Graph/Diagram Explanation:**

There are no graphs or diagrams provided in the text. The focus is on the tabulated data showing gasoline prices by brand and location. To analyze these prices, statistical methods such as ANOVA could be used to test for significant differences across the brands.
Transcribed Image Text:The table below presents the price per gallon for regular gasoline from a random sample of service stations across the upper Midwest region of the United States. The data, collected on March 18, 2012, shows the prices for three major gasoline brands: Shell, BP, and Marathon, across 11 metropolitan areas. | Metropolitan Area | Shell | BP | Marathon | |-----------------------|-------|------|----------| | Akron, OH | 3.77 | 3.83 | 3.78 | | Cincinnati, OH | 3.72 | 3.83 | 3.87 | | Cleveland, OH | 3.87 | 3.85 | 3.89 | | Columbus, OH | 3.83 | 3.77 | 3.82 | | Ft. Wayne, IN | 3.83 | 3.84 | 3.87 | | Indianapolis, IN | 3.85 | 3.84 | 3.89 | | Lansing, MI | 3.95 | 3.82 | 3.86 | | Lexington, KY | 3.79 | 3.78 | 3.79 | | Louisville, KY | 3.79 | 3.84 | 3.79 | | Muncie, IN | 3.81 | 3.84 | 3.87 | | Toledo, OH | 3.69 | 3.83 | 3.86 | **Instructions:** Use \(\alpha = 0.05\) to test for any significant difference in the mean price of gasoline for the three brands. **Graph/Diagram Explanation:** There are no graphs or diagrams provided in the text. The focus is on the tabulated data showing gasoline prices by brand and location. To analyze these prices, statistical methods such as ANOVA could be used to test for significant differences across the brands.
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