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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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Nixon.d Nixon.d
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3 weeks ago
Note: The problems below are based on the following information:

You have been assigned to test the hypothesis that the average number of cars waiting in line for the drive-thru window during lunch hour differs between Chick-fil-A, Wendy's, and McDonald's. The following data show the number of cars in line during randomly selected times during the lunch hour at all three chains.



Perform a one-way ANOVA using α = 0.05 to determine if a difference exists in the average number of cars waiting in line at the drive-thru during the lunch hour between these chains.
Textbook 
Business Statistics

Business Statistics


Edition: 2nd
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oscar520000oscar520000
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H0: μ1 = μ2 = μ3
H1: Not all μs are equal

 i  j  Chain  xij  
 1 1 Chick-fil-A 7  49
 2 1 Chick-fil-A 10  100
 3 1 Chick-fil-A 11  121
 4 1 Chick-fil-A 8  64
 5 1 Chick-fil-A 9  81
 1 2 Wendy's 7  49   
 2 2 Wendy's 8  64
 3 2 Wendy's 5  25
 4 2 Wendy's 3  9 
 5 2 Wendy's 2  4 
 1 3 McDonald's 6  36  
 2 3 McDonald's 7  49
 3 3 McDonald's 6  36
 4 3 McDonald's 7  49
 5 3 McDonald's 9  81 


 
Because F  = 5.71 is greater than Fα = 3.885, we reject the null hypothesis. Therefore, we can conclude that a difference exists in the average number of cars in line the lunch hour among these three chains.
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