Elementary Statistics: A Step-by-Step Approach with Formula Card 9th Edition

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