High School

In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33. In this case, the p-value is:

A. exactly 0.05
B. less than 0.05
C. greater than 0.05
D. cannot tell - it depends on what the SSE is

Answer :

In ANOVA with 4 groups and a total sample size of 44, the computed F statistic is 2.33 and the p-value is d. cannot tell - it depends on what the SSE is. Therefore, the correct option is option d.


In an ANOVA with 4 groups and a total sample size of 44, with a computed F statistic of 2.33, to determine the p-value, we need to consider the degrees of freedom for both the numerator (between groups) and the denominator (within groups).

Step 1: Calculate the degrees of freedom.
Degrees of freedom between groups (DFb) = Number of groups - 1 = 4 - 1 = 3
Degrees of freedom within groups (DFw) = Total sample size - Number of groups = 44 - 4 = 40

Step 2: Use an F-distribution table or an F-distribution calculator to determine the p-value.
With DFb = 3 and DFw = 40, you can look up the critical F value in an F-distribution table or use an online F-distribution calculator.

Based on the provided information, we cannot directly tell the p-value without consulting an F-distribution table or calculator. However, you can follow these steps to determine the p-value for the given F statistic of 2.33.

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