Jrgen predicts that regular exercise has a positive effect on children's academic performance. He hypothesizes that children who play outside 3 hours a day will have higher grade point averages than children who exercise less or not at all. The general population of children has a mean GPA of 2.71 ( = 0.84). Jrgen records the GPA of 34 students who exercise regularly; their mean GPA is 2.97. Separate from his experiment, in the real world, exercise does have a positive effect on children's academic performance. Calculate the z test using = .05 (show your work!), reject / do not reject H0, and indicate whether Jrgen committed a Type I error, a Type II error, correctly rejected H0, or correctly did not reject H0. Calculate the effect size for Jrgen's data, and comment on whether this effect size is small, medium, or large (show your work!)