Question

The
confidence interval for the ratio of two variances are found using
and F test.

Let's say,

a) the confidence interval is (0.567, 1.635). So the interval
contains the value 1. How do i interpret this? Does it mean that
both the variances are equal?

b) the confidence interval is (0.678, 0.788). So the interval
does not contain the value 1. Does it mean that the variances are
not equal?

Im not so clear on the interpretation. Please help, thank you
very much.

Answer #1

a) the confidence interval is (0.567, 1.635) contains the value 1. So there is insufficient evidence to conclude that the variances are statistically significantly different. so we can say that the two groups come from the populations having same variances

b) the confidence interval is (0.678, 0.788) which does not contain the value 1. So there is sufficient evidence to conclude that the variances are statistically significantly different. so we can say that the two groups do not come from the populations having same variances

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