A researcher wishes to determine if enrollments for medical

A researcher wishes to determine if enrollments for medical schools that specialize in research is different from the enrollments for medical schools that are noted for primary care. A random sample of 16 medical schools that specializes in research found an average of 596 with a standard deviation of 163. A random sample of 16 medical schools that specializes in primary care had an average of 482 with a standard deviation of 179. What is the test statistic?

Solution

test statistic:

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

=(596-482)/sqrt(163^2/16+179^2/16)

=1.88