You are given data on a sample of husbands and wives' earnings. There are 200 couples in your sample. Husbands' average earnings in the sample are $55,651 while the wives' average earnings are $45,691. The sample variance of the husbands' incomes is $35,090 and the variance of the wives' incomes is $23,011. The sample correlation between husbands' and wives' incomes is 0.68. Test the null hypothesis that male average earnings equal female average earnings using this data. Do this both as a one tailed test (of whichever direction you prefer) and a two tailed test.