In an Analysis of Variance summary table if the mean square

In an Analysis of Variance summary table, if the mean square between = 14 and the mean square within = 23, then the null hypothesis of the groups having the same mean is

Solution

As

F = MSB / MSW = 14/23 = 0.608695652

This value is very small (even less than 1), so, regardless of level of significance,

the null hypothesis is NOT REJECTED. [CONCLUSION]