This question requires us to determine if the statement is correct or wrong with the explanation.

b. A researcher plans to apply a one-way between subjects ANOVA to compare the completion time on a task across three experimental conditions. The researcher reasons that if the observed means across the three conditions differ entirely due to sampling errors, the critical value for evaluating the ratio of between-group mean squares to within-group mean squares for the ANOVA will depend on the total sample size (among other aspects). [3 marks]