This scenario will be used for the next five questions.In order to research their claim that women earn less (on average) than their male counterparts, NOW (the National Organization of Women) has compiled the following statistics from data gathered from two large samples of wages for men and women.Women are Sample #1 and Men are Sample #2.

Women

Men

$38,000

Mean

$42,500

$ 3,500

Standard Deviation

$ 3,800

256

Sample Size

225

Test the hypothesis that the average incomes are the same against the appropriate alternative hypothesis.Standard deviations are population standard deviations.You want your results to carry only a 1% chance of Type I error.

What is the Null Hypothesis?