Question: Use the data below to test the claim that heights of male statistics students have greater variance than female statistics students.

Males Females

n = 16 n = 12

\(\bar{X}=68.4\) \(\bar{X}=63.2\)

s = 0.54 s = 0.39

(a) State the null and alternative hypotheses

(b) Find the F test statistics

(c) Give the number of degrees of freedom.

(d) Find the critical value

(e) State the conclusion