Question

In a research project, researchers collected demographic and health data from a sample of elderly residents in the community. To examine any possible gender differences in their sample, they want to see if the females and the males differ significantly on the education level (number of years of formal schooling). The researchers are not predicting any direction in the possible gender differences so the hypotheses should be non-directional. They would like to run a two-tailed test with α = .10.

Male Subject ID	Education		Female Subject ID	Education
1	12		11	16
2	12		12	16
3	14		13	18
4	12		14	16
5	16		15	16
6	16		16	14
7	12		17	16
8	14		18	12
9	16		19	18
10	16		20	18
			21	16
			22	16

l. Calculate the pooled standard deviation for the populations (use the pooled variance calculated in question f); and then calculate the standardized effect size of this test. (2 points total: 1 for pooled standard deviation, 1 for effect size. Deduct .5 if a result is wrong but the process is correct.)

m. Based on the hypothesis test, is there a significant difference in education level between the males and the females in the sample? If so, in what direction is the gender difference? (1 point total: .5 for each answer)

Answer 1