Question

a Eleanor Qwan is a college student who has started a non-profit organization to provide support and companionship for elderly shut-ins. She is now at the stage of recruiting volunteers. She envisions two major tasks to be performed by volunteers: visitation and derical work. She is interested in whether one of these tasks would be more attractive to volunteers than the other task, and she also is interested in whether males and females feel differently. She randomly selected 40 adult males and 40 adult females. She divided the males at random into two groups of 20. For each task, she chose a different group of males and asked each male in the group the number of hours per month he would volunteer at the task. She did the same for the females. After recording the replies, she computed the group mean for each of the four groups. These means are displayed in the graph below. 78+ • Female 73 • Male 61 Visitation Clerical work

Answer 1

There are two tasks so degrees of freedom for task = 2 - 1 = 1

Now, degrees of freedom for interaction term = 79 - 76 - 1 - 1 = 1

MStask = SStask/df = 2.451 = 2.45

MSinteraction = SSinteraction/df = 0.05/1 = 0.05

Ftask = MStask/MSerror = 2.45/0.816 = 3.0024

Finteraction = MSinteraction/MSerror = 0.05/0.816 = 0.06

The p-value for interactio is .807156. The result is not significant at p < .01.

No, even at 5%, Eleanor cannot conclude that interaction is significant.

At 5% both the main effects are significant

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