Many track runners believe that they have a better chance of winning if they sta
ID: 3222378 • Letter: M
Question
Many track runners believe that they have a better chance of winning if they start in the inside lane that is closest to the field. For the data below, the lane closest to the field is Lane 1, the next lane is Lane 2, and so on until the outermost lane, Lane 6. The data lists the number of wins for track runners in the different starting positions. Find the critical value 20 to test the claim that the number of wins is uniformly distributed across the different starting positions. The results are based on 240 wins.
Starting Position
1
2
3
4
5
6
Number of Wins
32
50
44
33
36 45
A) 12.833
B) 9.236
C) 15.086
D) 11.070
Starting Position
1
2
3
4
5
6
Number of Wins
32
50
44
33
36 45
A) 12.833
B) 9.236
C) 15.086
D) 11.070
Explanation / Answer
Find the critical value 2 :
Degrees of Freedom = n - 1 = 6 - 1 = 5
2 (5, 0.05) = 11.070 ( From Chi Square table)
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