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You have been assigned to test the hypothesis that the median number of cars waiting in line for the ...
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You have been assigned to test the hypothesis that the median number of cars waiting in line for the ...
You have been assigned to test the hypothesis that the median 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 this hypothesis test using
α
= 0.05.
Textbook
Business Statistics
Edition:
2
^{nd}
Author:
Donnelly
Read 132 times
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H
_{0}
: There is no difference in the median number of cars waiting in line among the three restaurants
H
_{1}
: There is a difference in the median number of cars waiting in line among the three restaurants
Chick-fil-A (1):
= 3 + 10.5 + 12.5 +14 + 15.5 = 55.5
Wendy's (2):
= 1 + 2 + 4 + 8 + 10.5 + 15.5 = 41.0
McDonald's (3):
= 5.5 + 5.5 + 8 + 8 + 12.5 = 39.5
Using α = 0.05 with
k
- 1 = 3 - 1 = 2 degrees of freedom
H
_{α}
= 5.991. Because
H
= 2.31 is more than
H
_{α}
= 5.991, we fail to reject the null hypothesis. Because we fail to reject the null hypothesis, we can conclude that there is no difference in the median number of cars waiting in line among these three restaurants.
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