#2. You choose an alpha level of .01 and then analyze your data. a. What is the probability that you will make a Type I error given that the null hypothesis is true? b. What is the probability that you will make a Type I error given that the null hypothesis is false? #3. You are conducting a study to see if students do better when they study all at once or in intervals. One group of 12 participants took a test after studying for one hour continuously. The other group of 12 participants took a test after studying for three twenty minute sessions. The first group had a mean score of 75 and a variance of 120. The second group had a mean score of 86 and a variance of 100. a. What is the calculated t value? Are the mean test scores of these two groups significantly different at the .05 level? b. What would the t value be if there were only 6 participants in each group? Would the scores be significant at the .05 level? #4. List 3 measures one can take to increase the power of an experiment. Explain why your measures result in greater power. #5. A Nissan Motor Corporation advertisement read, \"The average man's I.Q. is 107. The average brown trout's I.Q. is 4. So why can't man catch brown trout?\" Suppose you believe that the brown trout's mean I.Q. is greater than four. You catch 12 brown trout. A fish psychologist determines the I.Q.s as follows: 5; 4; 7; 3; 6; 4; 5; 3; 6; 3; 8; 5. Conduct a hypothesis test of your belief. SHOW ALL STEPS FROM STATING THE HYPOTHISIS TO DRAWING THE CONCLUSION. MAKE SURE TO PROVIDE YOUR CALCULATED TEST STATISTIC AND THE CRITICAL VALUE. 6. At Rachel's 11th birthday party, eight girls were timed to see how long in (seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis. Relaxed time (seconds) Jumping time (seconds) 26 21 47 40 30 28 22 21 Relaxed time (seconds) Jumping time (seconds) 23 25 45 43 37 35 29 32