The accompanying data table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from a two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude?

Right-Handed Left-Handed

Female 64 65 60 59 55 70 62 63 69 62

Male 65 62 68 70 69 68 68 65 67 64

Source: DF: SS: MS: Test Stat, F: Critical F: P-Value:

Interaction: 1 31.25 31.25 2.71739 4.49401 0.11875

Row Variable: 1 68.45 68.45 5.95217 4.49401 0.02672

Column Variable: 1 22.05 22.05 1.91739 4.49401 0.18515

First test for an interaction between the two factors. Determine the null and alternative hypothesis.