Question

Find the critical value Χ2/L corresponding to a sample size of 9 and a confidence interval of 99%. (Draw the graph)

Please write neatly, and show work, no calculator.

Answer 1

Here in this scenario to calculate the Confidence Interval for population Variance using chi square we need critical value.

The critical value of chi square test is calculated using chi square critical value table or using Excel.

In our question it is given that the sample size n = 9 and we need to compute the 99% Confidence Interval so we have alpha level of significance is 0.01. the degrees of freedom is n-1 i.e df = 9-1 = 8 degrees of freedom.

Following steps will show how we calculated the chi square critical value of both upper and lower critical value.

The chi square critical value is calculated using chi square critical table.

X2/L = 1.344.

Since we know that the chi square distribution is positively Skewed so the lower critical value and upper critical value are not same.

Thank you.