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.

Answer

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Answer

Find test statistic: \( F = 0.82 \)

Steps

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: \( F = 0.82 \)