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krakrakels krakrakels
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8 months ago
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: 2nd
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TarasiSusTarasiSus
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8 months ago
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More questions for this book are available here
H0: There is no difference in the median number of cars waiting in line among the three restaurants
H1: 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 Hα = 5.991. Because H = 2.31 is more than Hα = 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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