Question

What is the corresponding F critical when df1 = 3, df2 = 20, and alpha level = 0.01? Please look up the F distribution chart and find the answer.

A) 3.49
B) 3.57
C) 3.36
D) 3.30

Answer 1

The corresponding F critical value when df1 = 3, df2 = 20, and alpha level = 0.01 is C) 3.36.

Step-by-step explanation:

To find the corresponding F critical value, we consult an F distribution chart or use statistical software. Given df1 = 3 and df2 = 20, we locate the intersection of these degrees of freedom on the F distribution table for a one-tailed test with an alpha level of 0.01. The critical F value at this intersection is 3.36, which corresponds to option C.

In statistical hypothesis testing, the F critical value represents the threshold beyond which we reject the null hypothesis. The degrees of freedom, df1 and df2, are crucial in determining this critical value. In this scenario, df1 is associated with the numerator variance and df2 with the denominator variance in the F ratio.

The alpha level of 0.01 signifies a 1% significance level, indicating that only 1% of the time would we observe a test statistic as extreme as the critical F value if the null hypothesis were true. Therefore, if the calculated F statistic exceeds 3.36, we would reject the null hypothesis.

In summary, the F critical value for df1 = 3, df2 = 20, and alpha = 0.01 is 3.36, as indicated by option C.