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What specifically should one be looking for with respect to the test intervals when analyzing possible differences between two population standard deviations using the notion of confidence intervals....

What specifically should one be looking for with respect to the test intervals when analyzing possible differences between two population standard deviations using the notion of confidence intervals.
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Answer #1

When we will form confidence intervals for difference between population standard deviations.

Then we would observe the confidence interval

1) if confidence interval contain 0 (e.g. (-3,2)), then we conclude that the no difference between population standard deviations.

2) if confidence interval does not contain 0 (e.g. (2,5) or (-4,-2), then we conclude that the their is difference between population standard deviations.

a) if confidence interval does not contain 0 and contain positive value (e.g. (1,5) ), then we can conclude that standard deviations for   population 1 is greater than that of for population 2.

b) if confidence interval does not contain 0 and contain negative value (e.g. (-1,-5) ), then we can conclude that standard deviations for   population 1 is less than that of for population 2.

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