b. 150c.17.32d. 1.99e.p-value < = 0.05, the null hypothesis is rejected (actual p-value using Excel =0.046).4.Independent random samples of the scores of 10 daily quizzes from day students and 15 quizzes from evening students were gathered. It was decided to use the Mann-Whitney-Wilcoxon test to determine ifthere is a significant difference between the scores of the two groups of students. a. Provide the hypotheses for this test.b.Compute the mean T.c.Compute the standard deviation T.d.The sum of the ranks for the day students was determined to be 184.5. Compute the test statistic Z.e.Use = 0.05 and test to determine if there is a significant difference in the populations of the scores of the two groups.ANS:a.Ho: The two populations are identical.Ha: The two populations are not identical.b.195c.18.0277d.2.05e.p-value < = 0.05, the null hypothesis is rejected (actual p-value using Excel =0.0401). 5.The sales records of two branches of a department store over the last 12 months are shown below. (Sales figures are in thousands of dollars.) We want to use the Mann-Whitney-Wilcoxon test to determine if there is a significant difference in the sales of the two branches.MonthBranch ABranch B125721022802303200250425026052842756295300729732082652909330310103503251134032912272335 c.Compute T.d.Use = 0.05 and test to determine if there is a significant difference in the populations of the sales of the two branches.
6.Independent random samples of ten day students and ten evening students at a university showed the following age distributions. We want to use the Mann-Whitney-Wilcoxon test to determine if there is asignificant difference in the age distribution of the two groups.DayEvening2632182425232730194030413442213933453135a.Compute the sum of the ranks (T) for the day students.b.Compute the mean T.c.Compute T.d.Use = 0.05 and test for any significant differences in the age distribution of the two populations.ANS:a.74.5b.105c.13.23d.p-value < .05; reject H0; the populations are different (the actual p-value using Excel is .0211)7.From the courthouse records, it is found that in 60 divorce cases, the filing for divorce was initiated by the wife 41 times. Using the sign test, test for a difference in filing between husband and wives. Let = 0.05ANS:Z = 2.84; p-value = 0.0046; reject H0and conclude there is a significant difference.8.Two employers (A and B) ranked five candidates for a new position. Their rankings of the candidates are shown below.CandidateRank by ARank by BNancy21Mary13John34Lynda55Steve42Compute the Spearman rank-correlation and test it for significance. Let = 0.05.
ANS:Spearman rank-correlation = 0.5; Z = 1.0; p-value = 0.3174; do not reject H09.The following data show the test scores of six individuals on a standardized test before and after attending a preparation seminar for the test.
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- Fall '15
- Microeconomics, Null hypothesis, Non-parametric statistics, B. Wilcoxon, A. Ho