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