Use technology to construct the confidence intervals for the

Use technology to construct the confidence intervals for the population variance and the population standard deviation . Assume the sample is taken from a normally distributed population.

c =0.95

s=37

n=17

The confidence interval for the population variance is left parenthesis nothing comma nothing right parenthesis .

(Round to two decimal places as needed.)

Solution

The critical values are

chi^2(alpha/2) = 28.84535
chi^2(1 -alpha/2) = 6.907664

As

lower bound = (n - 1)s^2/[chi^2(alpha/2)] = 759.36
upper bound = (n - 1)s^2/[chi^2(1 - alpha/2)] = 3170.97

Thus, for the variance, (759.36, 3170.97). [ANSWER, VARIANCE]

****************
For the standard deviation, getting the square roots of these,

(27.56, 56.31) [ANSWER, STANDARD DEVIATION]