# Question: according to a new report from the wall street journal...

###### Question details

According to a new report from the Wall Street Journal, female real estate agents sell more homes per year than male real estate agents do. You, the head of a large real estate company, want to know if this is true within your organization, so you sample 55 women and 37 men. From the sample, you find that the female agents sell an average of 25.2 homes per year with a standard deviation of 7.7 homes. The male agents sell an average of 22.9 homes per year with a standard deviation of 6.3 homes. Let females be population 1 and males be population 2 and assume the population variances are equal. Use a significance level of 0.05.

Calculate the appropriate test statistic needed to test your
claim. **Round your final answer to 4 decimals.**
*Hint: Make sure you are using the correct formula based on the
information given in the problem.*

Find and enter the correct critical value needed to test your
claim at the 5% significance level. **Round your final answer
to 4 decimals.** *Hint: Things you will need to know:
alpha, df, is this one or two-tailed test, and which table to
use!*