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(Note: For problems 11.2 - 11.4 below, be sure and show a full diagram of the research design as shown in the Formula Sheet and chart attached to this assignment packet. Without using Excel or Chegg, show all steps and calculations you made for each test following the process outlined in the t-test formula sheet handout. What statistical decision do you make in each case? Finally report your results professionally in APA format as found in last step of the formula sheet attached to this assignment packet). 1.2 A sample is selected from a population mean of u = 31.5. A treatment is administered to the individuals in the sample and, after treatment, the sample mean found to be M - 33.2 with a sample variance of s? = 12. a If the sample consists of n = 16 individuals, are the data sufficient to conclude that there is a significant treatment effect using a two-tailed test with a =.05? b If the sample consists of n = 36 individuals, are the data sufficient to conclude that there is a significant treatment effect using a two-tailed test with a =.05? 11.3 Ackerman & Goldsmith (2011) found that students who studied text from printed hard copy had better test scores than students who studied text presented on a screen. In a related study, a professor noticed that several students in a large class had purchased the eBook version of the course textbook. For the final exam, the overall average for the entire class was u = 83, but the n = 10 students who purchased the eBook had a mean of M = 78 with a standard deviation of s = 8. Do these data indicate a significant decrease in test scores on the final exam due to the use of an ebook? Use a one-tailed test with a = .05. 11.4 Oishi & Shigehiro (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychologist obtains a sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old. These participants were given a standardized well-being questionnaire for which the general population has an average score of u = 7. The well-being scores for this sample are as follows: 2, 7, 1, 5, 3, 7, 3, 4, 6, 8, 2, 8. On the basis of this sample, is well-being for frequent movers significantly different from the well-being of the general population? Test with alpha a = .05. Is this a one tailed or two-tailed test