In a recent study on gender differences in education a sampl

In a recent study on gender differences in education, a sample of 7 boys had a mean score of 16 and a standard deviation of 4.1 on a Standardized Math Test. A sample of 11 girls had a mean score of 17.4 and a standard deviation of 3.6 on the same test. What is the t-statistic for this data? (Use the sample of boys as Group 1.)

Solution

the t-statistic is

t=(xbar1-xbar2)/sqrt(s1^2/n1+s2^2/n2)

=(16-17.4)/sqrt(4.1^2/7+3.6^2/11)

=-0.74