Answer
Yes.
Work Step by Step
Given $n1=11, s1=4.1, n2=24, s2=13.2$
a. State the hypotheses and identify the claim.
$H_o: \sigma^2_1=\sigma_2^2$
$H_a: \sigma^2_1\ne\sigma_2^2$ (claim, two tail test)
b. Find the critical value(s).
$\alpha/2=0.05, df_N=23, df_D=10, F_c=2.74$ (use $df_N=24$)
c. Compute the test value.
$F=\frac{13.2^2}{4.1^2}=10.4$
d. Make the decision.
As $F>F_c$, we reject the null hypothesis.
e. Summarize the results.
At $\alpha=$ 0.10, there is a significant difference between the
standard deviations of these two areas
