In testing for the equality of two population variances,when the populations are normally distributed,the 10% level of significance has been used.To determine the rejection region,it will be necessary to refer to the F table corresponding to an upper-tail area of:
A) 0.90.
B) 0.05.
C) 0.20.
D) 0.10.

Question

Quizplus · Accepted Answer

When testing for the equality of two population variances, we use the F test. In this case, we are using a two-tailed test at the 10% level of significance. This means that we split the alpha (0.10) into two equal tails, each with an area of 0.05.

To determine the rejection region, we need to look up the critical value for the upper tail area of 0.05 in the F table. This critical value corresponds to the degrees of freedom for the numerator (population with the larger variance) and denominator (population with the smaller variance). The numerator degrees of freedom is calculated as the sample size of population 1 minus 1, and the denominator degrees of freedom is calculated as the sample size of population 2 minus 1.

Since the question does not provide any information about the sample sizes of the populations, we cannot calculate the degrees of freedom or look up the critical value. However, we know that the correct answer is B because the upper-tail area of 0.05 is the one that corresponds to the significance level of 0.10 in a two-tailed test. The other answer choices are incorrect and would lead to the wrong rejection region.

In Testing for the Equality of Two Population Variances,when the Populations