Problem 1
Why is the sign test the simplest nonparametric test to use?
Problem 1
What is meant by nonparametric statistics?
Problem 1
Use the Kruskal-Wallis test and perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Speaking Confidence Fear of public speaking is a common problem for many individuals. A researcher wishes to see if educating individuals on the aspects of public speaking will help people be more confident when they speak in public. She designs three programs for individuals to complete. Group A studies the aspects of writing a good speech. Group \(\mathrm{B}\) is given instruction on delivering a speech. Group \(\mathrm{C}\) is given practice and evaluation sessions on presenting a speech. Then each group is given a questionnaire on selfconfidence. The scores are shown. At \(\alpha=0.05\), is there a difference in the scores on the tests? $$ \begin{array}{ccc} \text { Group A } & \text { Group B } & \text { Group C } \\ \hline 22 & 18 & 16 \\ 25 & 24 & 17 \\ 27 & 25 & 19 \\ 26 & 27 & 23 \\ 33 & 29 & 18 \\ 35 & 31 & 31 \\ 30 & 17 & 15 \\ 36 & 15 & 36 \end{array} $$
Problem 1
What is the parametric equivalent test for the Wilcoxon signed-rank test?
Problem 2
Use the Kruskal-Wallis test and perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Mathematics Literacy Scores Through the Organization for Economic Cooperation and Development (OECD), 15-year-olds are tested in member countries in mathematics, reading, and science literacy. Listed are randomly selected total mathematics literacy scores (i.e. both genders) for selected countries in different parts of the world. Test, using the Kruskal-Wallis test, to see if there is a difference in means at \(\alpha=0.05\). $$ \begin{array}{ccc} \text { Western Hemisphere } & \text { Europe } & \text { Eastern Asia } \\ \hline 527 & 520 & 523 \\ 406 & 510 & 547 \\ 474 & 513 & 547 \\ 381 & 548 & 391 \\ 411 & 496 & 549 \end{array} $$
Problem 2
What is the difference between the Wilcoxon rank sum test and the Wilcoxon signed-rank test?
Problem 2
What is the parametric equivalent test for the Wilcoxon rank sum test?
Problem 2
When should nonparametric statistics be used?
Problem 2
What population parameter can be tested with the sign test?
Problem 3
Use the Kruskal-Wallis test and perform these steps. a. State the hypotheses and identify the claim. b. Find the critical value. c. Compute the test value. d. Make the decision. e. Summarize the results. Use the traditional method of hypothesis testing unless otherwise specified. Depression Levels A psychologist designed a questionnaire to measure the level of depression among her patients. She divided the patients into three groups: never married, married, and divorced. Then she randomly selected subjects from each group and administered a questionnaire to measure their level of depression. The scale ranges from 0 to \(50 .\) The higher the score, the more severe the patient's depression. The scores are shown. At \(\alpha=0.10\), is there a difference in the means? $$ \begin{array}{ccc} \text { Never married } & \text { Married } & \text { Divorced } \\ \hline 37 & 40 & 38 \\ 39 & 36 & 35 \\ 32 & 32 & 21 \\ 31 & 33 & 19 \\ 37 & 39 & 31 \\ 32 & 33 & 24 \\ & 30 & \end{array} $$
