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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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Amber_Bandit Amber_Bandit
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3 weeks ago
Chris, Steve, and Josh routinely play golf together and would like to know if the median number of golf balls lost during a round differs between them. The following table shows the number of golf balls lost by each player during a random sample of golf rounds. 



Perform this hypothesis test using α = 0.10.
Textbook 
Business Statistics

Business Statistics


Edition: 2nd
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Morgan-CMorgan-C
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H0: There is no difference in the median number of golf balls lost among the three golfers
H1: There is a difference in the median number of golf balls lost among the three golfers


Chris (1):  = 1 + 2 + 3.5 + 3.5 + 5.5 + 7 = 22.5
Steve (2):  = 5.5 + 9 + 9 + 11.5 + 14 + 18 = 67.0
Josh (3):  = 9 + 11.5 + 14 + 14 + 16 + 17 = 81.5


Using α = 0.10 with k - 1 = 3 - 1 = 2 degrees of freedom Hα = 4.605. Because H = 11.06 is more than Hα = 4.605, we reject the null hypothesis. Because we reject the null hypothesis, we can conclude that the median number of golf balls lost during a round differs between these three golfers.
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