One way of improving job performance in organizations is through the use of "self-managed work teams": teams of employees given a certain amount of control (autonomy) over how they conduct their work activities. Previous research has suggested too little autonomy leads to bored, unmotivated employees; however, too much autonomy may result in a lack of structure and supervision. A researcher hypothesizes that the effect of autonomy on team performance may in fact depend on the size of the work team. She designs an experiment whereby teams are given a simple task to perform (the construction of a toy boat). Participants are randomly assigned to one of three sized work teams: Small (4 members), Medium (7 members), or Large ( 10 members). Each group is given either low or high autonomy in determining how the boats are to be constructed. She counts the number of toy boats built by each team in the designated time.

a. Calculate descriptive statistics \(\left(N_{\mathrm{AB}}, \bar{X}_{\mathrm{AB}}, s_{\mathrm{AB}}\right)\) for each combination of the two factors.

b. Create a figure to represent the cell means.

c. Conduct the two-way ANOVA and create an ANOVA summary table.

d. Report the decisions regarding the null hypotheses and the level of significance for the main effects and the interaction effect.

e. Calculate measures of effect size \(\left(R^{2}\right)\) for the main effects and the interaction effect.

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Team Size (Factor A): Autonomy (Factor B): Small Small Medium Medium Large Large Low High Low High Low High 2 4 4 6 10 7 3 L 5 2 2 1 5 4 5 0 3 3 3 1223 543