Z TESTS AND SINGLE SAMPLE T -TESTS ASSIGNMENT INSTRUCTIONSOVERVIEWThis Homework: Z-Tests & Single Sample T-Tests Assignment is designed to assess your understanding of the concepts and applications covered thus far in this course. This module introduces two inferential tests – the z test and single sample t test; both of which are used to determine whether a sample differs from a population. These tests are commonly used in psychology, education, business, and other fields. This Homework: Z-Tests & Single Sample T-Tests Assignment assesses your knowledge, skills, applications, and presentation of these tests using professional conventions.INSTRUCTIONSBe sure you have reviewed this module’s Learn section before completing this Homework: Z-Tests & Single Sample T-Tests Assignment. This Homework: Z-Tests & Single Sample T-Tests Assignment is worth 60 points. Each question is worth 3 points. Six points are awarded for mechanics/structure.Part I contains general concepts from this module’s Learn section.Part II requires use of SPSS. You will have to take screen shots and/or copy and paste from your SPSS to place answers within this file. Make sure you only insert relevant and legible images.Part III is the cumulative section. These may include short answer and/or use of SPSS but will review material from previous module(s).Directions for each subsection are provided in the top of each table (in the blue shaded areas).Answers should be placed where indicated (wherever there is “ANSWER”).Submit the file as a WORD document (.doc or .docx). Make sure the filename of your submission includes your full name, course and section.Example: HW6_JohnDoe_510B01Make sure to check the Homework Grading Rubric before beginning this Homework: Z-Tests & Single Sample T-Tests Assignment. Part I: General Concepts________________________________________These questions are based on the concepts covered in this module’s assigned readings and presentations.Answer the following questions using your own words.1. What is the critical value for a one-tailed z test? For a two-tailed z test? Which is more likely to result in a rejection of the null hypothesis? Why?ANSWER2. Why does tcv. Change when the sample size changes? What must be computed to determine tcv.?ANSWER3. Henry performed a two-tailed test for an experiment in which N = 24. He could not find his table of t critical values, but he remembered the tcv at df = 13. He decided to compare his tobt with this tcv. Is he more likely to make a Type I or a type II error in this situation? Briefly discuss why.ANSWERGiven a population standard deviation of 12, answer the following two questions.4) Calculate the standard deviation of the mean (σ_X ̅ ) given the following two sample sizes (show all your work and round to two decimal places):N1 = 20N2 = 70 WORK:N1 =N2 = ANSWERN1 =N2 =5) How does the sample size change the standard error of the mean? What does this mean for statistical power? ANSWERCalculate the critical degrees of freedom and identify the critical values for the following tests, using p = .05 and the tables in your e-book for all scenarios (do NOT round). Then, state whether the null hypothesis would be rejected or failed to be rejected.6) Single sample t-test: two-tailed, N = 20, t = 2.05 df= ANSWER critical t = ANSWER Reject or Fail to Reject Ho:ANSWER7) Single sample t-test: one-tailed, N = 20, t = 2.05 df= ANSWER critical t = ANSWER Reject or Fail to Reject Ho:ANSWER8) Pearson’s r correlation: two-tailed, N = 15, r = 0.47 df= ANSWER critical t = ANSWER Reject or Fail to Reject Ho:ANSWER9) Pearson’s r correlation: one-tailed, N = 15, r = 0.47 df= ANSWER critical t = ANSWER Reject or Fail to Reject Ho:ANSWERA company decides to offer a monetary incentive for employees who log a specified number of hours spent exercising in an attempt to improve employee health. The average health score (higher = better) of the 75 employees who logged enough hours was 87. The mean health score for all employees (population) was 85, with a population standard deviation of 6.5.10) Calculate the standard error of the mean. ANSWER11) Conduct the z-test. Show your work (use at least two decimal places throughout).What is the zobt score? ANSWER12) Write your conclusion using complete sentences in APA format. Don’t forget to include the statistical statement and whether you reject or fail to reject the null hypothesis. ANSWER Part II: SPSS Application________________________________________These questions require the use of SPSS. Remember you must submit all of your work within this word document. You will need to take a screen shot of your data view if necessary, or copy and paste your output into the spaces below. Remember to report the exact p value provided by SPSS output – simply reporting p.05 is not acceptable (unless SPSS output states p=.000 – in that case you can report p
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