You have been assigned to test the hypothesis that the avera

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

Chick-fil-A Wendy\'s Mc Donald\'s
7 7 6
10 8 7
11 5 6
8 3 7
9 2 9

Solution

H0: Average no of cars is equal for all

Ha: Average no differs for atleast two

We prepare anova table as follows

As F = 5.7143 let us calculate p value. =0.018

p<alpha hence reject null hypothesis.

There is a statistically significant difference in the avg number of cars waiting.

Anova table
x1 x2 x3 Total
Numbers 5 `5 5 15
Sum 45 25 35 105
Mean 9 5 7 7
Variance 2.5 6.5 1.5
Std de 1.581 2.55 1.225
0.707 1.14 0.548
Anova Result
SS DS MS F
Between 40 2 20 5.7143
Within 42 12 3.5
Total 82 14
You have been assigned to test the hypothesis that the average number of cars waiting in line for the drive-thru window during lunch hours differs between Chick

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