instructions. (37 pts.) A psychologist is interested in whether hypnosis affects
ID: 3182705 • Letter: I
Question
instructions. (37 pts.) A psychologist is interested in whether hypnosis affects brain dominance (that is, whether the left or right hemisphere of the brain is dominant). Eleven college students from the freshman class are randomly sampled for an experiment. The experiment has two conditions that are given on different days. In condition 1, the students are hypnotized and then given a test that measures the relative dominance of the right and left hemispheres. The higher the score, the more dominant is the right hemisphere. In condition 2, the same students are given the test again, only this time they are not hypnotized but are in their normal state of consciousness. The following scores are obtained: Student 1 2 3 4 5 6 7 8 9 10 11 Condition 1 26 15 22 19 23 37 16 17 14 16 21 Condition 2 12 13 18 17 21 22 11 22 10 14 15 Answer the following questions and show your work (3 pts) What is the power of this experiment, for = 0.052 tail and Preal = .10? (2 pts) What is the probability of making a Type II error in this experiment when = 0.052 tail and Preal = .10? (3 pts) What is the power of this experiment, for = 0.012 tail and Preal = .10? (2 pts) What is the probability of making a Type II error in this experiment when = 0.012 tail and Preal = .10? (3 pts) What is the power of this experiment, for = 0.052 tail and Preal = .40? (2 pts) What is the probability of making a Type II error in this experiment when = 0.052 tail and Preal = .40? (3 pts) What is the power of this experiment, for = 0.012 tail and Preal = .40? (2 pts) What is the probability of making a Type II error in this experiment when = 0.012 tail and Preal = .40?
Explanation / Answer
Using excel addin we get following t-test :
We need to know the actual beta
since 1-beta= power of test
hypnotized Normal t-Test: Paired Two Sample for Means 26 12 15 13 hypnotized Normal 22 18 Mean 20.54545 15.90909 19 17 Variance 43.87273 19.29091 23 21 Observations 11 11 37 22 Pearson Correlation 0.538105 16 11 Hypothesized Mean Difference 0 17 22 df 10 14 10 t Stat 2.724508 16 14 P(T<=t) one-tail 0.010697 21 15 t Critical one-tail 1.788384 P(T<=t) two-tail 0.021394 t Critical two-tail 2.20499Related Questions
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