You are a financial analyst for a brokerage firm. You want to compare dividend yields between stocks listed on the NYSE \& NASDAQ. You collect the following data: \begin{tabular}{lrr} & NYSE & NASDAQ \\ \cline { 2 - 3 } Number & 21 \\ Mean & 3.27 & 2.53 \\ Std dev & 1.30 & 1.16 \\ Is there a difference in the \\ variances between the NYSE \\ NASDAQ at the $\alpha=0.10$ level? \end{tabular}

Step 1 ：Calculate the F-test statistic: F = \(\frac{1.3^2}{1.16^2}\)

Step 2 ：Determine the degrees of freedom for both samples: df1 = 21 - 1 and df2 = 21 - 1

Step 3 ：Find the critical value from the F-distribution table using α=0.10 and the degrees of freedom: critical_value = 2.124

Step 4 ：Compare the F-test statistic to the critical value: F < critical_value

Step 5 ：\boxed{\text{There is no significant difference in the variances between the NYSE and NASDAQ at the }\alpha=0.10\text{ level}}