The medical school of Wisconsin conducted an investigation to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed: Women

80

Men

100

Sample mean

Women
4.5 years

Men
4.4 years

Population Standard Deviation

Women

0.5 years

Men
0.6 years

State the appropriate null and alternative hypotheses

Perform the appropriate test of hypothesis to determine whether there is a significant difference in time to completion of medical school between women and men. Test using = 0.05.

You find the p-value associated with the test in the second question as 0.2224, explain how to use it for testing the hypothesis in the first question.