Question 6 For the following problem, please round to two decimal places: A professor believes the students in a statistics class this term are more creative than most other students attending the university. A previous studv found that students at the university had a mean score of 35 on a standard creativity;r test. and the current statistics class has a mean score of 415 on this scale with a standard deviation of 4. The standard deviation of the distribution of means is 5. The t score is: Question 7 2 pts For the following problem, please round to two decimal places: A school psychologist is using a depression inventory on which a score of 0 indicates no depression and a score of 10 indicates severe depression to see if the level of depression in fourth graders in a particular class of 20 students differs from that of fourth graders in general at a school. Based on the results of previous testing, fourth graders at the school usually have a score of 7 on the scale, but the variance is unknown. The current sample of 25 fourth graders has a mean depression score of 8. If the unbiased estimate of the population's variance is 3, the variance of the distribution of means is:Question 8 2 pts A researcher develops a technique to increase productivity in factory workers. He has workers report the amount of boxes they fill every day for a week and uses this as a pretest measure of productivity. Workers then attend a workshop in which they are instructed to do a specific warm up exercise to increase motivation to be productive by focusing on a pleasant activity. Workers again reported the amount of boxes they fill every day for a week, and the amount of boxes for a week is the posttest measure. If the counselor wants to see if there is an increase in productivity after attending his workshop using 15 workers and the 0.05 significance level, the cut off t score(s) will be: O +1.762 O +2.145 O +2.145 O +1.753