Question
In: Statistics and Probability
The football coach randomly selected ten players and timed how long each player took to perform...
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The football coach randomly selected ten players and timed how long each player took to perform a certain drill. The times (in minutes) were: 7, 10, 14, 15, 15, 5, 12, 15, 11, 11 Find a 95 percent confidence interval for the population standard deviation. Could someone show me how to do this? Please show work and answer |
Solutions
Expert Solution
Here s = 3.4721 and n = 10
df = 10 - 1 = 9
α = 1 - 0.95 = 0.05
The critical values for α = 0.05 and df = 9 are Χ^2(1-α/2,n-1) =
2.7004 and Χ^2(α/2,n-1) = 19.0228
CI = (sqrt(9*3.4721^2/19.0228) , sqrt(9*3.4721^2/2.7004))
CI = (2.3882 , 6.3387)
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