Philadelphia€™s Sports Injury Center conducted a study to determine the relative effectiveness of four alternative rehabilitation programs designed for patients recovering from severe knee injuries. One of the variables used as an indicator of effectiveness is €œnumber of days until the patient attains 75% of baseline lateral rotation.€ Ten patients with similar injuries were randomly selected for each treatment. The partially completed tables below summarize results. Fill in the indicated missing values. Use the results to test a €œno difference in average number of days€ null hypothesis at the 5% significance level.

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SUMMARY Groups treat 1 treat 2 treat 3 treat 4 Variance 134.7667 171.0667 105.1222 200.6667 Sample size Average 10 10 10 10 73.1 80.2 69.7 74.0 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 574.9 (a) (d) g 2.866 Within Groups 5504.6 (b) () Total 6079.5 (c)