Statistics from a random sample of 13 men and 19 women's college grade point averages showed the men's average was 2.898 with a standard deviation of 0.583, and the women's average was 3.330 with a standard deviation of 0.395. One of the women said she thinks that all college women have higher GPAs then college men. Using 19 degrees of freedom in your calculation, does the sample support her claim?
1) Test the appropriate hypothesis and state your conclusion. (Assume the Nearly Normal Condition is true.2) Create and interpret a 95% confidence interval.