#### Answer

The calculated test statistic F = 2.56 would be rejected at a = .05, with a critical value of 2.35.
The calculated test statistic F = 2.56 would be retained at a = .01, with a critical value of 3.29.

#### Work Step by Step

We use the table of the F distribution for 5 and 75 degrees of freedom and a= .05 and a= .01 to find the critical values for an experiment yielding an F-statistic of 2.56. Using the table, find the numerator (column) for df=5 and the denominator (row) df = 70 (because there is no row for 75). They intersect at the F-value of 2.35, for a= .05, and 3.29 for a = .01.