In a study of group productivity, participants worked alone or shared the responsibility for building widgets with one other, with three others, or with fifteen others. Below, are the data showing the number of widgets each group produced. Test the null hypothesis that group size had no effect on productivity. (35 points)

Alone: 9, 10, 12, 9

Two-Person Group: 8, 6, 5, 6

Four-Person Group: 4, 6, 3, 6

Sixteen-Person Group: 5, 8, 3, 6

Research Problem:

Statistical Hypotheses:

Decision Rule:

Use Jamovi to calculate the F value and post hoc tests if warranted.

Decision:

Interpretation: