A researcher is interested in investigating the differences

A researcher is interested in investigating the differences between men and women with respect to the age at which a person’s first child is born. Using the General Social Survey (GSS) the researcher has calculated the following statistics using Excel for the age at which men (Group 1) and women (Group 2) reported their first child was born. Assume the population standard deviations are equal

Calculate the test statistic to two decimal places

Solution

As the standard error of the difference is

Sd = S sqrt (1/n1 + 1/n2) = 5.46*sqrt(1/584+1/846) = 0.293744035

Then

t = [X1 - X2]/Sd = (25.7-24.6)/0.293744035 = 3.744756894 = 3.74 [ANSWER]