Questions: Question 2 10 pts The critical F value with 8 numerator and 29 denominator degrees of freedom at α=.01 is 3.2 3.33 2.28 3.64

Transcript text: Question 2 10 pts The critical $F$ value with 8 numerator and 29 denominator degrees of freedom at $\alpha=.01$ is 3.2 3.33 2.28 3.64

Solution

Solution Steps

Step 1: Define the Problem

We need to find the critical $ F $ value for a one-way ANOVA test with $ 8 $ numerator degrees of freedom and $ 29 $ denominator degrees of freedom at a significance level of $ \alpha = 0.01 $.

Step 2: Calculate the Critical F Value

Using the F-distribution, the critical value can be determined using the percent-point function (inverse cumulative distribution function). For our parameters, we calculate:

\[ F_{critical} = F_{0.99}(8, 29) \]

Step 3: Output the Result

After performing the calculation, we find that the critical $ F $ value is:

\[ F_{critical} \approx 3.20 \]