The Canadian government would like to test the hypothesis that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women. The following data summarizes the sample statistics for hourly wages for men and women. Assume that the population variances are equal.

Men Women
Sample mean $25.40 $21.20
Sample size 20 18
Sample standard deviation $6.20 $5.90

a. If Population 1 is defined as men and Population 2 is defined as women, the 95% confidence interval for the difference in population means is:
b. Using α = 0.025, which one of the following statements is true?

1. Because the p-value is less than α, the Canadian government cannot conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.
2. Because the p-value is less than α, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.
3. Because the p-value is greater than α, the Canadian government can conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women.
4. Because the p-value is greater than α, the Canadian government cannot conclude that the average hourly wage for men is more than $2.00 higher than the average hourly wage for women