A random sample of 25 observations is selected from a normally distributed population.The sample variance is 10.In the 95% confidence interval for the population variance,the upper limit is:
A)19.353
B)17.331
C)17.110
D)6.097

Question

Quizplus · Accepted Answer

The upper limit of the 95% confidence interval for the population variance is calculated using the chi-square distribution. For a sample size of 25, the degrees of freedom is 24. The upper critical value for chi-square at 0.025 significance level (for a two-tailed test) is approximately 39.364. The formula for the upper limit is (n-1)s^2/χ²(α/2), which gives (24*10)/39.364 = 19.353.

A Random Sample of 25 Observations Is Selected from a Normally