Justin and Amanda took a Sociology of the Family class and learned that men and women have different views on a range of family issues. They wonder if men's and women's views on when one should get married are different as well. To investigate this possibility, they obtain a random sample of 25 single men and a random sample of 26 single women and ask them what their ideal age would be to get married. Their findings are presented below. (20 Ideal Age to Get Married

Men: Mean = 24.11 Std. dev. = 2.19 n=25

Women: Mean = 21.79 Std. dev. = 2.20 n=26

Complete the following: (a) state the null and the research hypotheses, (b) identify the critical values of z or t used to "define the decision rule" (c) calculate the test statistic, (d) report the p-value, and (e) report your findings. Show all of your work.