Test the indicated hypothesis.
An algebra teacher believes that the variances of test scores of students in her evening algebra class are lower than the variances of test scores of students in her morning class. The results of an exam, given to the morning and evening students, are shown below. Can the teacher conclude that her evening students have a lower variance? Use α = 0.01.
Evening Students Morning Students
n1 = 41 n2 = 36
s1 = 10.6 s2 = 19.6
Assume the samples were randomly selected from normal populations.