1 Two samples from the same population both have M = 74 and s 2 = 20. One sample has n = 15 and the other has n = 25 scores. Both samples are used to test a hypothesis that = 80, and to compute Cohen's d. How will the outcomes for the two samples compare regarding hypothesis testing and effect size? Think about this CAREFULLY and refer to the formulas for both the T test and Cohen's D. You don't have to do a calculationbut it will probably help you if you do, to understand what the question is about, you just have to describe what will happen. (3 pts 1 point for each answer). a. Regarding hypothesis test: outcome: b. Regarding effect size: outcome: c. Explain your logic. 2. A sample of n = 36 scores produces a t statistic of t = 4.00. If the sample is used to measure effect size with 2, what value will be obtained? (1 point) 3. Cohen's D and 2 are both measures of effect size. Cohen's D can be any value from 0 on up, that is 0 through infinity (theoretically). 2 can only be values between 0 and 1. Explain why this is. (1 point). 4. How does the confidence interval relate the sample mean and the standard error to the population mean? Really think about this. You may find it helpful to look at the formula for a confidence interval and think about the parts in the formula. (1 point) 5. If a researcher conducts a test and finds that the difference between two sample means is 4 points, with a 95% confidence interval of + or - 2 points, what does this mean about the location of the true population mean difference? (1 point) 6. A researcher is testing the effect of a new cold and flu medication on mental alertness. A sample of n = 9 college students gets a normal dose of the medicine. Thirty minutes later, each student plays a video game that requires careful attention and quick decision making. The game scores for the sample of nine students are: 6, 6, 10, 6, 7, 13, 5, 5, 3. The variance of the sample game scores is 16. Game scores for students in the general, unmedicated population average = 10. Does the medication have a significant effect on mental performance at the .05 level of significance? (9 points total for this problem) a. What is the standard error? (1 point) b. Calculate T -show your work (3 point) c. Assuming the critical value of T is + or -2.36, Do you reject the null hypothesis or not? (1 point) d. Compute 2, the percentage of variance explained by the treatment effect (1 point). . e. Write a sentence about the outcome of the hypothesis test and effect size as it would appear in a research report (2 point). You may find it helpful to review your text to see how these statements are made