Question: An ANOVA experiment involves 4 groups and has 24 experimental units or data points. If I want to test my hypothesis at a significance level

An ANOVA experiment involves 4 groups and has 24 experimental units or data points. If I want to test my hypothesis at a significance level of 0.01, what should be the critical value to use for my test?

4.43

4.94

2.38

3.10

Say I perform two experiments to test the difference between the means of a variable in 4 different populations (or groups). In the first experiment, I find that between group MS = 1000 and within group MS = 200 and in the second experiment I find that between group MS = 2000 and within group MS = 800. In which of the two experiments are the four population means more likely to be different?

The First experiment

The Second experiment

There is not enough information is given to answer this question

It depends on the significance level

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