The critical F value with 8 numerator and 29 denominator degrees of freedom at a = 0.01 isGroup of answer choices3.643.332.283.20

Step 1: Break Down the Problem

To find the critical F value with 8 numerator degrees of freedom and 29 denominator degrees of freedom at a significance level (α) of 0.01, we will refer to the F-distribution table.

Step 2: Relevant Concepts

The critical F value is defined as the value that separates the upper tail of the F-distribution. Here, we need to look up the values in the F-distribution table for the degrees of freedom provided:

• Numerator degrees of freedom (df1) = 8
• Denominator degrees of freedom (df2) = 29
• Significance level (α) = 0.01

Step 3: Analysis and Detail

Using the F-distribution table, we look for the intersection of 8 numerator degrees of freedom and 29 denominator degrees of freedom at the 0.01 significance level. The values in the F-table provide the critical value that corresponds to the area in the tail.

Step 4: Verify and Summarize

After consulting the F-distribution table, the critical F value for df1 = 8 and df2 = 29 at α = 0.01 is found to be 3.643.

Final Answer

The critical F value at α = 0.01 with 8 numerator and 29 denominator degrees of freedom is 3.643.