A study was conducted to examine the hypothesis that there is a significant difference in depressive symptoms between men and women. Ten women and ten men were give the Beck Depression Inventory to measure depressive symptoms. Scores on the measure range from 0 to 60 with high scores indicative of more depressive symptoms; low scores indicative of fewer depression symptoms. The data are presented below. Compute the appropriate t-test at an alpha level of .05.

Women: x¹=44.5 s²₁= 74.38 n₁=10

Men: x²=38.1 s²₂= 72.68 n₂=10

a. What are the null and alternative hypotheses?

b. What cutoff score do we use?

c. What is the t score?

d. Do we reject or retain the null hypothesis?