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14. A manager wishes to determine whether the mean times required to complete a certain task differ for the three competency levels of employee, namely Beginner, Intermediate and Advanced. He randomly selected 9 employees from each level of competency. The incomplete results of the analysis of variance are given below. Source of variation Sum of squares df Mean squares f test Treatment 180.07 2 Error Total 702.53 a. Determine how many treatments are involved in this study. b. Complete the results of the analysis of variance. c. Do the data provide sufficient evidence to indicate that the mean times required completing a certain task is the same for all levels of competency? Test at a = 0.05 significance level