Question for this hypothesis testing

Question

In order to compare the performance of two process designs E and F, a production manager randomly collect the following flow time data. Design E: 6, 4, 10, 5, 3, 8, 3, 4, 7, 5; and Design F: 3, 8, 2, 4, 7, 3, 6, 2, 5, 2.

Based on the given data, is there any sufficient evidence to show that the flow times of Designs E and F have common variance at 2% significance level?

This is a 

O lower-tail test

O upper-tail test

O one-tail test

O two-tail test

O none of above

The absolute value of the corresponding critical value needed in this case = ___________ (correct to two decimal places) .

The corresponding test statistic in this case = _________ (correct to four decimal places).

Answer 1

This is a two-tailed test.

F-critical value for two tailed test, 0.02 alpha and 9 DOF in numerator and denominator:

FLower = 0.187 and FUpper = 5.351

Variance design E = 5.167

Variance design F = 4.844

F stat = 5.167/4.844 = 1.067