Question: Use the following data to test at the 0.05 significance level that the treatment group has scores that vary more than the scores of the placebo group.

Treatment Placebo

n = 22 n = 22

\(\bar{X}=4.20\) \(\bar{X}=1.71\)

s = 2.20 s = 0.72

(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