(a) Based on the sample values, would you conclude that the variance for each group is constant? Why or why not.

A rehabilitation center researcher was interested in examining the relationship between physical fitness prior to surgery andthe time (in days) for successful completion of physical therapy. The fitness levels were measured as "Below Average" ( groupI), "Average" (group II), or "Above Average" (group III). Summary statistics follow:IIIIIIOverallSample mean38322432Sample Std. Dev5.483.464.436.88Sample Size810624