A cognitive psychologist is interested in examining how well people performed a task in relation to their perception of its difficulty. Three random samples are selected and are told they will be asked to solve some math problems. However, to influence their perceptions, the psychologist tells one of the samples that the problems are easy, in another that the problems are of medium officulty, and another that the problems are difficult. Afterwards, all participants are asked to complete math problems that are actually easy and the number correctly solved is recorded. Below are the data. What can the psychologist conclude with an a of 0.057 Easy Medium 9 ISHSASE 4 9 10 8 7 4 6 8 2 9 6 5 Difficult 1 3 4 a) What is the appropriate test statistic? b) Obtain/compute the appropriate values to make a decision about He critical value test statistic Decision c) Compute the corresponding effect size(s) and indicate magnitude(s) p- d) Make an interpretation based on the results. There is a difficulty perception difference on solving math problems. There is no officulty perception difference on solving meth problems. e) Regardless of the Ho decision in b), conduct Tukey's post hoc test for the following comparisons: 1 vs 3: difference - 1 vs 2: difference- significant: -Select- significant: -Select-