A career counselor wants to determine if there is an interaction between gender (male or female) and sector (private or public) on average weekly income. The counselor obtains data and produces the following incomplete two-way ANOVA table.

Source of Variation	SS	df	MS	F
Gender				11.44
Sector	156,468
Interaction
Error			3,853
Total	277,045	19

a. Complete the ANOVA table.

b. At the 5% significance level, can you conclude there is interaction between gender and sector?

c. Are you able to conduct tests on the main effects? If yes, conduct these tests at the 5% significance level.

d. Why is a two-way ANOVA (with or without interaction) preferable to two two-sample T-tests in this situation?