An F-teat with 3 degrees of freedom in the numerator and 5 degrees of freedom in the denominator produced a test statistic whose value was 2.95 . The null and alternate hypotheses were \( H_{0}: \sigma_{1}=\sigma_{2} \) versus \( H_{1}: \sigma_{1}<\sigma_{2} \),
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Find the critical values \( f_{0.10} \) and \( f_{0.01} \) for \( f_{3}, 5 \).
The critical value \( f_{0.10} \) for \( / 5,5 \) is 3.62 .
The critical value \( f_{0.01} \) for \( f_{3,5} \) is 12.06 .
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