Anova allows us to determine whether the variance between samples is larger than the variance within samples. if the variance is larger between samples, what can we say about the group differences we are interested in analyzing?

Null hypothesis gets rejected.

Step-by-step explanation:

ANOVA is an acronym use for Analysis of Variance.

It is a statistical method which is specifically designed to analyze for a significant relationship or difference between two or more samples.

It basically compares :-

Anova allows us to determine whether the variance between samples is greater than the variance within the samples or not .

In the beginning of Anove we declare null hypothesis = There is no difference between the population means and alternative hypothesis = There is statistical difference between the population means.

If variance between samples is larger than the variance within the samples , then it means there is difference between the sample means.

⇒ The null hypothesis gets rejected.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680