Question

McDonald's	Burger King	Wendy's
Cheeseburger- 300 cal	Cheeseburger-350 cal	Cheeseburger- 280 cal
McDouble- 390 cal	Double Whopper- 1000 cal	Double stack- 390 cal
Bacon Cheeseburger- 620 cal	Bacon Cheeseburger- 500 cal	Bacon Cheeseburger- 380 cal
10 chicken nuggets-425 cal	10 chicken nuggets-950 cal	10 chicken nuggets-470 cal
Mcchicken- 400 cal	Grilled chicken sandwich- 530 cal	Grilled chicken sandwich- 370 cal

State your null and alternate hypothesis. Select a significance level.

Conduct a One-Way ANOVA test on this data.   Be sure to provide the test statistic and the p-value for your 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?

Answer 1

## for any test first we need to check assumption of the test :

if assumption is not satisfy we not go to the next step .

ANOVA table :

source	DF	SS	MSS	F	p
Treatment	2	237443.3	118721.7	3.4589	0.0651
Error	12	411880	34323.33
Total	14	649323.3