Problem
Question 9 2 pts Consider the following hypothesis statement using \( \mathrm{a}=0.05 \) and data from two independent samples: Sample characteristics Sample 1 Sample 2 Variance 3.9 4.5 Size \[ 30 \] We want to test: \( H 0: \sigma_{1}^{2}=\sigma_{2}^{2}, H a: \sigma_{1}^{2} \neq \sigma_{2}^{2} \). The test statistic is: Round your answer to two decimal places.
Solution
Step 1 ：Calculate F ratio: \(F = \frac{\sigma_{1}^2}{\sigma_{2}^2} = \frac{3.9}{4.5}\)
Step 2 ：Calculate degrees of freedom: \(d_1 = 30 - 1 = 29, d_2 = 30 - 1 = 29\)
Step 3 ：Find test statistic: \( F = 0.82 \)
