CK-12 Probability and Statistics - Advanced

(Marvins-Underground-K-12) #1

10.3. Testing One Variance http://www.ck12.org


7.


X^2 =


dfs^2
σ^2

= ( 29 × 1. 12 )/ 3. 22 = 10. 90



  1. Failure to Reject the Null Hypothesis since 3. 22 ≤ 10 .90. We cannot conclude that the sample comes from
    the larger population with respect to variance.

  2. Between 0.82 and 1. 98


dfs^2
42. 56

≤σ^2 ≤
dfs^2
17. 71
295. 20
42. 56
≤σ^2 ≤

295. 20


17. 71


0. 82 ≤σ^2 ≤ 1. 98


  1. We are 90% confident that the overall population variance(σ^2 )is between 0.82 and 1. 98

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