IN ONE-WAY ANALYSIS OF VARIANCES, IF MS_(B)gt MS_(W) AND AS A RESULT OF CHECKING THE NULL . HYPOTHESIS ACCEPTED AN ALTERNATIVE : HYPOTHESIS, THEN GIVE A CONCLUSION ABOUT Select one: there is no influence of averages on factor F there is no significant effect of factor F on X insignificance of the choice of means there is significant in variance of means there is significant effect of factor F on x

The correct answer is: there is significant effect of factor F on X.<br /><br />In a one-way analysis of variance (ANOVA), the null hypothesis typically states that there is no significant difference between the means of the groups being compared. The alternative hypothesis, on the other hand, states that there is a significant difference between the means.<br /><br />In this scenario, if $MS_{B} > MS_{W}$, it indicates that the variance between the groups (between-group variance) is greater than the variance within the groups (within-group variance). This suggests that there is a significant difference between the means of the groups.<br /><br />Therefore, if the null hypothesis is rejected in favor of the alternative hypothesis, it means that there is a significant effect of factor F on X.