Tests 10 individuals (Participants) before and after a treatment

Problem 1 (10 Points) A researcher tests 10 individuals (Participants) before and after a treatment. The results are as follows: Participant Pretest Posttest 1 10.4 10.8 2 12.6 12.1 3 11.2 12.1 4 10.9 11.4 5 14.3 13.9 6 13.2 13.5 7 9.7 10.9 8 11.5 11.5 9 10.8 10.4 10 13.1 12.5 You want to test the hypothesis that there is an increase in score (H1: μpretest < μposttest), and p < 0.05. A) Create a table similar to the one in the slide 10 of the slides for chapter 12, where you show columns for D, D2 , as well as rows for ΣX1, ΣX2, ΣD, ΣD2 B) Is there a significant difference between pretest and posttest scores? Why? C) Find the mean and standard deviation for Pretest and Posttest scores (you can use SPSS or Excel) D) Find the effect size. Is the effect size small, medium, or large? Why? For part B, C, and D please show all of your work! Don’t just report the values you have derived. I want to see how you found your obtained value and effect size. If you do not show your work, including the table, you will not receive credit for this problem. You MUST use the t value formula and effect size formula from our textbook and Chapter 12 Slides (see slides 5 and 12). Any other formula used, regardless of the answer, will result in score of zero for this problem. Problem 2 (3 Points) You are presented with the following information from a single sample study: H1: μpretest ≠ μposttest, ΣX1 = 2210 , ΣX2 = 1981, ΣD = 229, ΣD2 = 2772.9, n = 19 a) What is the t value (obtained value)? b) What is the critical value (p > 0.05)? c) Is the difference statistically significant? Why? Similar to Problem 1, please show all your work. No credit is given if work is not shown. You MUST use the t value formula from our textbook and Chapter 12 Slides (see slide 5). Any other formula used, regardless of the answer, will result in score of zero for this problem. Problem 3 (5 Points) For each of the following, state whether you would use a t test for dependent means, or a t test for independent means. A. A researcher randomly assigns a group of 63 sixth graders to receive a newly developed math study program and 58 other sixth graders to receive the standard math study program, and then measures how well they do on a math test. B. A pharmaceutical company runs a major advertising campaign for one of their drugs. The company measures 78 doctors’ reports of the number of their patients asking about that particular drug during the month before and the month after the advertising campaign. C. A researcher measures the reaction time of each of a group of 22 individuals two times, once while in a very cold room and once while in a normal temperature room. D. A researcher measures the weight of 32 office workers, and compares the weight of 14 who regularly eat at the company cafeteria, with the weight of the 18 who regularly bring lunch from home. E. A doctor compares the blood pressure measurement of 18 patients who have been taking yoga classes 3 times per week for the past month, with the blood pressure of 16 patients who have not taken any yoga classes for the past month. Problem 4 (1 Point): If a sample Mean = 26.5, and SD = 6.2, a) find the 95% Confidence Interval, b) find the 99% Confidence Interval Problem 5 (1 Point): If a sample Mean = 116.74, and SD = 12.92, a) find the 95% Confidence Interval, b) find the 99% Confidence Interval