Among the ANES unique group of widows who have three or more children at home, is there a difference between those with a high school education or less and those who have some college or more with regard to household income? Here are the raw data:

High school or less: 21.25, 2.5, 72.5, 2.5, 11.25 Some college or more: 32.5, 32.5, 47.5, 2.5, 72.5, 37.5 Carry out a t-test by hand and explain your results.