1. In each of the following studies, a single sample's mean is being compared to a population with a known mean, but an unknown variance. For each study, decide whether the result is significant. Study Sample Size (N) Population Mean (Pop M) Estimated population variance (S2) Sample Mean (M) Tails Significance level 1 61 12.00 9.00 11.00 1 (low predicted) .05 2 48 1000.00 300.00 1010.00 2 .05 3 101 50.00 7.00 52.00 1 (high predicted) .01 Study #1: (Please show your calculations) Study #2: (Please show your calculations) Study #3: (Please show your calculations) CHAPTER 8 T-TEST FOR DEPENDENT MEANS PROBLEMS 1 In each of the following studies, using difference scores, test the significance using a t test for dependent means. For each study, decide whether the result is significant. Study Number of Difference Scores in Sample Mean of Difference Scores in Sample Estimated population Variance of Difference Scores Tails Significance level 1 20 1.85 8.45 1 (high predicted) .05 2 16 2.40 4.10 2 .05 3 10 -2.00 5.00 1 (low predicted) .01 Study #1: (Please show your calculations) Study #2: (Please show your calculations) Study #3: (Please show your calculations) CHAPTER 8 CONCEPTUAL (Your answers should demonstrate understanding of course material. Each response should be a few sentences/paragraph.) 1. What is the difference between a 1-tailed and a 2-tailed test? When would you use a 1-tailed test instead of a 2-tailed test? Provide an example to illustrate the difference. 2. What does p<.05 represent conceptually? What does p<.01 represent conceptually? What is the statistical rationale for using p<.05 or p<.01 in the hypothesis testing process? 3. Make up a brief example of a research study that would be tested using a T-test for Dependent means. Describe in a few sentences