Which of the following statements about the one-way anova are correct? (select all that apply.)

(a) the results of the anova f test does not tell us which groups are different or how different they are.
(b) in one-way anova, the mean square for error (mse) gives a measure of the variation within the samples, while the mean square for groups (msg) gives a measure of variation among the sample means.
(c) in a one-way anova, if the null hypothesis is rejected, we conclude that the population means are all different (i. e. no two of the population means are equal).
(d) the larger the variability within groups relative to the variability between groups, the larger the f test statistic tends to be.
(e) an f-distribution is symmetrical about 0 and extends indefinitely in both directions.
(f) a random variable with an f-distribution can take non-negative values only.