Question 11 2 pts A professor believes the students in a statistics class this term are more creative than most other students attending the university. A previous study found that students at the university had a mean score of 40 on a standard creativity test, and the current class has an average score of 47 on this scale with an estimated population standard deviation of 5. The standard deviation of the distribution of means is 1.30. If there were 16 students in the class, and the professor wanted to test the null hypothesis described in the scenario using the 5% level of significance, the cut off t score would be: O 1.753 1.337 O 1.341 O 1.746Question 13 2 pts For the following problem, please round to two decimal places: A psychologist conducts a t test for dependent means in which it is predicted that there will be increase in confidence from before to after a particular self-development program. The cutoff t needed is 1.833, the standard deviation of the distribution of means of change scores is 2, and the mean change score for the sample studied is an increase of 6. What is the t score?Question 15 2 pts 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 variation is unknown. The current sample of 16 fourth graders has a mean depression score of 6.5. The psychologist tests the null hypothesis that the level of depression of fourth graders in this class does not differ from fourth graders in general at the school and obtains a t score of -1.2. The decision regarding the null hypothesis should be to: O reject it O fail to reject it O adjust the power increase the sample size