A school district wants to determine if the girls are better students
than the boys. They took a random sample of 22 8th grade girls and 24
8th grade boys. The district looked at recent CAT scores and found the
mean score for girls to be xbar1 = 25 and the mean score for boys to
be xbar2 = 26. The standard deviation for the girls is s1 = 2.2 and
for the boys the standard deviation is s2 = 3.4. Is the school
district correct in assuming the girls are better students than boys.
They are 95% sure their assumption is correct.