A sample of 51 elements is selected to estimate a 95% confidence interval for the variance of the population.The chi-square values to be used for this interval estimation are

Question

Quizplus · Accepted Answer

To estimate a confidence interval for the variance of a population, we use the chi-square distribution. The formula to find the chi-square values is:

Chi-square value for the lower bound = (n-1)*s^2/χ^2(α/2, n-1)
Chi-square value for the upper bound = (n-1)*s^2/χ^2(1-α/2, n-1)

Where:
n = sample size
s^2 = sample variance
α = level of confidence

Plugging in the given values, we get:

Chi-square value for the lower bound = (51-1)*s^2/χ^2(0.025, 50) = 32.357
Chi-square value for the upper bound = (51-1)*s^2/χ^2(0.975, 50) = 71.420

Therefore, the best choice is B, since it includes the correct chi-square values for the desired 95% confidence interval.

A Sample of 51 Elements Is Selected to Estimate a 95