Performing Non-parametric Hypothesis Test.
Description Week 11 – Assignment: Performing Nonparametric Hypothesis Tests Instructions For this task, write a paper using the following structure: Begin with a one or two-paragraph introduction that summarizes the meaning of the reading material. Answer all of the questions included in Parts 1 and 2 below. Be sure to answer questions using complete sentences and show all work in your calculations. Provide a written conclusion, when appropriate, for the problem that you are addressing. Include an essay section in your paper, which is described in Part 3 below. Use the last part of your paper to include a paragraph or two that explains the information that you learned in the assignment. Support your paper with at least two references. Problems in Part 2 can be done either using methods outlined in Statistics in Practice, or SPSS. The power point presentation “Overview of nonparametric statistics” (located under your weekly resources) describes how use nonparametric methods in SPSS. Part 1 a) What is the nonparametric alternative to a 1-sample t test for means? b) What is the nonparametric alternative to a 2-sample t test for means? c) A test to see if three or more means are equal is called ANOVA for analysis of variance. What is the nonparametric alternative to an ANOVA test for means? Explain the advantages and disadvantages of nonparametric tests. What distribution is used for the Wilcoxon rank sum test? What are the conditions for the Kruskal-Wallis test? Part 2 A marketing firm tests three different brands of energy drinks to see how many equivalents of potassium per quart each contains. The results are given below. Brand A Brand B Brand C 4.7 5.3 6.3 3.2 6.4 8.2 5.1 7.3 6.2 5.2 6.8 7.1 5.0 7.2 6.6 a) Find the median for each brand. b) State the null hypothesis used to test the medians. c) Perform a Kruskal-Wallis test. Give the value of the test statistic. Then, copy and paste the results of the test into your Word document. An engineer wishes to determine if the stopping distance for midsize automobiles is different from that of compact automobiles at 75 mph. The data is shown below. Automobile 1 2 3 4 5 6 7 8 9 10 Midsize 188 190 195 192 186 194 188 187 214 203 Compact 200 211 206 297 198 204 218 212 196 193 a) State the null and alternate hypotheses. b) Use a Wilcoxon rank sum test to determine if there is a difference in the stopping distances between Midsize and compact cars. Copy and paste the results of the test into your Word document. c) Include a carefully-worded conclusion in the both statistical terms and in the context of the problem. In a company that was founded on fairness, the human resources manager was asked to perform a study to determine if the females were paid less than the males. If the study indicated that there was a significant difference, then the women would all be given a 5% raise. To perform the study, female and male workers were paired based on years of experience working for the company to determine if there was a difference in the salaries. Their annual salary was then compared. The data is shown below. Males 18 43 32 27 15 45 21 22 Females 16 38 35 29 15 46 25 28 a) Use a Wilcoxon signed rank test to determine if there is a difference in the salaries. b) Based on the results, address the decision of whether the females should be given a raise. Part 3 Go through the PowerPoint presentation: Overview of nonparametric statistics, which is available at: http://www.theanalysisfactor.com/wp-content/uploads/2011/09/webinar-nonparametric-techniques-handout.pdf Write an essay that describes the main points of the presentation. Focus on the examples given and how nonparametric tests were used. Your essay should demonstrate thoughtful consideration of the ideas and concepts presented in the course by providing new thoughts and insights relating directly to this topic. Your response should reflect graduate-level writing and APA standards. Be sure to adhere to Northcentral University’s Academic Integrity Policy. Length: 5 – 7 pages References: Include a minimum of two scholarly peer-reviewed resources. Upload your document and click the Submit to Dropbox button. Due Date Jan 20, 2019 11:59 PM External Resource (S): Books and Resources for this Week 1. Statistics in Practice Moore, D.S., Notz, W.I., & Fligner, M.A. (2015). Statistics in practice. New York, NY: W.H. Freeman. Read Chapters 27 2. Eisenbeisz, E. (n.d.). Overview of nonparametric statistics. Omega Statistics. http://www.theanalysisfactor.com/wp-content/uploads/2011/09/webinar-nonparametric-techniques-handout.pdf 3. BUS-7200_Grading_Rubrics Supplemental (External) Resource NB: PLEASE BE SURE TO USE THESE RESOURCES (FIRST) ABOVE, IN ADDITION TO OTHERS YOU MAY FIND IMPORTANT