Question

3) There were 47 people that took the last statistics exam. The standard deviation was 9.8...

3) There were 47 people that took the last statistics exam. The standard deviation was 9.8 points.

Create a 98% confidence interval for the standard deviation.

Does is seem possible that the overall standard deviation is 15?

Math   Statistics-And-Probability   
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Answer #1

Chi square critical values at 0.02 level with 46 df = 26.657 , 71.201

98% confidence interval for is

Sqrt [ (n-1) S2 / /2 ] < < Sqrt [ (n-1) S2 / 1-/2 ]

Sqrt [ 46 * 9.82 / 71.201 ] < < Sqrt [ 46 * 9.82 / 26.657 ]

7.877 < < 12.873

98% CI for is ( 7.877 , 12.873 )

Since 15 is not lies in confidence interval, we do not have sufficient evidence to support the claim.

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