Question

Consider the test of H0: varience = 15 against H1: variance > 15. What is the critical value for the test statistic chi-square for the significance level alpha = 0.05 and sample size n = 18

Answer 1

Given the Hypotheses are:

H0: varience = 15 against

H1: variance > 15

Also the significance level alpha = 0.05 and sample size n = 18.

So, based on the hypothesis it will be right-tailed test, and the degree of freedom is df = n-1= 18-1= 17.

Critical Value:

The critical score for rejection region is calculated using the excel formula for chi-square distribution which is takes teh significance level and the degree of freedom as parameter, thus the formula used is =CHISQ.INV.RT(0.05, 17), thus the confidence interval is computed as 27.587.

Thus the critical value is 27.587.