• Use a one-way ANOVA test to study the average calories for a typical sandwich purchased at a fast food restaurant such as McDonalds, Burger King, Wendy's, Arby's, Dairy Queen, etc. as follows:
• Select THREE fast food restaurants.
• For each fast food restaurant, select any five typical sandwiches such as a cheeseburger, chicken sandwich, double cheeseburger, etc.To the extent possible try to select similar sandwiches for each restaurant chain.For example, if you select a double cheeseburger with bacon at McDonalds, try to pick a similar sandwich from the Burger King menu and a similar sandwich from the Wendy's menu.
• show a table as follows:Three columns should list the three different fast food restaurants.Five rows should list the five different sandwiches.In each cell in the table, record the corresponding calorie value for that sandwich obtained from the restaurant's web site.
• Conduct a One-Way ANOVA test on this data.Be sure to provide the test statistic and the p-value for your analysis.Use of technology is encouraged for this analysis.
• State your final conclusion: Is there a statistical difference among the average calorie counts for these three fast food restaurants?Are the mean calorie counts the same for all three restaurants?Or is at least one mean calorie count different from the others?
• Discuss any assumptions you might need in order to conduct the one-way ANOVA test?Is it reasonable to assume these assumptions are met for this example?
• In your peer responses, share your thoughts on each other's ANOVA test results and comment if you agree or disagree with the final conclusion provided by the other student.Also, explain if there are other factors they might consider in their analysis.