Eight men applying to State University had a sample mean and variance on college board tests of 1,050 and 2,500 respectively. The respective numbers for nine women were 1,075 and 3,600. Test at the 0.05 level of significance whether women did better than men on these tests while using the probality of each test case for both samples to be more than 90% but less than 99%
Solved by I. E. in 14 mins