Stictly follow the instruction in the attached paper. Include in the homework the diagram of study, graph of critical value and professional report.
Single Sample t-Test
11.1 What factor determines whether you should use a z-test or a t-test statistic for a hypothesis test?
A sample is selected from a population mean of µ = 30. A treatment is administered to the individuals in the sample and, after treatment, the sample mean found to be M = 31.3 with a sample variance of s2 = 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 α = .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 α = .05?
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 e-book version of the course textbook. For the final exam, the overall average for the entire class was µ = 85, but the n = 10 students who purchased the e-book had a mean of M = 77 with a standard deviation of s = 7. Do these data indicate a significant decrease in test scores on the final exam due to the use of a e-book? Use a one-tailed test with α = .05.
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 µ = 40. The well-being scores for this sample are as follows: 23, 37, 41, 35, 43, 37, 33, 34, 36, 38, 31, 38. 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 α = .05. Is this a onetailed or two-tailed test?
Note for problems 11.2-11.4 above: Be sure and show a full diagram of the research design. Also 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 (see last step of the formula sheet for this module).
Single Sample t-test
I. Assumptions for t-test
1. the population from which the sample is selected is normal
B. One random sample (with replacement)
C. Data values
1. Sample values known (mean, standard deviation)
2. Population values (mean, standard deviation) not known
II. Diagramming your research (shows the whole logic and process of hypothesis testing)
a. Draw a picture of your research design (see diagramming your resea
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