In a hypothesis test for the population variance,the alternate hypothesis is the population variance does not equal 17.0.The significance level to be used is 0.05 and the sample size to be taken is 25.The table value(s)to use from the chi-square distribution is (are):
A) 39.364.
B) 40.647.
C) 12.401 and 39.364.
D) 13.120 and 40.647.
E) 12.401.

Question

Quizplus · Accepted Answer

Since the sample size is less than 30 and the population variance is unknown, we use a chi-square distribution to conduct the hypothesis test. With a significance level of 0.05 and one degree of freedom, the critical values from the chi-square distribution are 12.401 and 39.364. Therefore, we need to use both values to determine the rejection region and make a decision. Choice C includes both critical values, making it the best choice.

In a Hypothesis Test for the Population Variance,the Alternate Hypothesis