An operations manager feels that the output rate of experienced employees is greater than that of new employees but he does not expect the variability in output rates to differ for the two groups. Previous studies indicate that the average unit output per hour for new employees at a particular type of work is 20 units per hour with a variance of 56 units squared. For a group of 20 employees with 5 years' experience, the average output for this same type of work is 30 units per hour with a sample variance of 28 units squared. Does the variability in output appear to differ at the two experience levels? Test the hypotheses at the .05 significance level.