A random sample of size 25 taken from a normally distributed population resulted in a sample standard deviation of 0.93054.A 99% confidence interval for the population variance would be:
A) (9.886, 45.559).
B) (3.144, 6.750).
C) (0.678, 1.449).
D) (0.456, 2.102).

Question

Quizplus · Accepted Answer

The confidence interval for the population variance is calculated using the chi-square distribution. With a sample size of 25, the degrees of freedom is 24. Using the sample standard deviation and the chi-square critical values for 99% confidence, the interval is calculated as (0.456, 2.102).

A Random Sample of Size 25 Taken from a Normally