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 11 metropolitan areas across the upper Midwest region. t Metropolitan Area Shell BP Marathon Akron, Ohio 3.77 3.83 3.78 Cincinnati, Ohio 3.72 3.83 3.87 Cleveland, Ohio 3.87 3.85 3.89 Columbus, Ohio 3.76 3.77 3.79 Ft. Wayne, Indiana 3.83 3.84 3.87 Indianapolis, Indiana 3.85 3.84 3.87 Lansing, Michigan 3.93 4.04 3.99 Lexington, Kentucky 3.79 3.78 3,79 Louisville, Kentucky 3.78 3.84 3.79 Muncie, Indiana 3.81 3.84 3.83 Toledo, Ohio 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. State the null and alternative hypotheses. O Ho: HShell = /Bp = /Marathon Ha: Not all the population means are equal. O Ho: HShell = /Bp = /Marathon Ha: HShell * HBP # /Marathon O Ho: Not all the population means are equal. Ha: HShell = /BP = /Marathon O Ho: At least two of the population means are equal. Ha: At least two of the population means are different. O Ho: HShell * HBP * /Marathon Ha: MShell = HBP = /Marathon Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands. Do not reject H. There is not sufficient evidence to conclude that there is a significant difference in the mean price per gallon for regular gasoline among the three brands.An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use a = 0.05. Type of Ride Roller Coaster Screaming Demon Log Flume 41 54 48 Method 1 43 46 44 49 50 Method 2 51 44 46 Find the value of the test statistic for method of loading and unloading. Find the p-value for method of loading and unloading. (Round your answer to three decimal places.) p-value = State your conclusion about method of loading and unloading. Because the p-value s a = 0.05, method of loading and unloading is significant. O Because the p-value s a = 0.05, method of loading and unloading is not significant. Because the p-value > a = 0.05, method of loading and unloading is significant. Because the p-value > a = 0.05, method of loading and unloading is not significant. Find the value of the test statistic for type of ride. Find the p-value for type of ride. (Round your answer to three decimal places.) p-value = State your conclusion about type of ride. O Because the p-value > a = 0.05, type of ride is not significant. Because the p-value s a = 0.05, type of ride is significant. Because the p-value > a = 0.05, type of ride is significant. Because the p-value s a = 0.05, type of ride is not significant. Find the value of the test statistic for interaction between method of loading and unloading and type of ride. Find the p-value for interaction between method of loading and unloading and type of ride. (Round your answer to three decimal places.) p-value = State your conclusion about interaction between method of loading and unloading and type of ride. O Because the p-value s a = 0.05, interaction between method of loading and unloading and type of ride is not significant. Because the p-value s a = 0.05, interaction between method of loading and unloading and type of ride is significant. Because the p-value > a = 0.05, interaction between method of loading and unloading and type of ride is not significant. Because the p-value > a = 0.05, interaction between method of loading and unloading and type of ride is significant