Exam 19: Nonparametric Statistics

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The test statistic Fr for the Friedman test has an approximate ____________________ distribution.

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The Friedman test is always:

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A nonparametric method to compare two populations,when the samples are matched pairs and the data are interval,and where the normality requirement necessary to perform the parametric test is unsatisfied,is the:

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Customers' Ages The marketing manager of a Hot Dog Stand chain is in the process of examining some of the demographic characteristics of her customers.In particular,she would like to investigate the belief that the ages of the customers of hot dogs,fast-food hamburger,and fast-food chicken restaurants are different.To test this belief,the ages of eight randomly selected customers from each restaurant type were recorded and listed below.From previous analysis we know that the ages are not normally distributed. Customers' Ages  The marketing manager of a Hot Dog Stand chain is in the process of examining some of the demographic characteristics of her customers.In particular,she would like to investigate the belief that the ages of the customers of hot dogs,fast-food hamburger,and fast-food chicken restaurants are different.To test this belief,the ages of eight randomly selected customers from each restaurant type were recorded and listed below.From previous analysis we know that the ages are not normally distributed.   ​ ​ -{Customers' Ages Narrative} Does this data provide enough evidence at the 10% significance level to infer that there are differences in ages among the customers of the three restaurant types? ​ ​ -{Customers' Ages Narrative} Does this data provide enough evidence at the 10% significance level to infer that there are differences in ages among the customers of the three restaurant types?

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The procedure for the Wilcoxon rank sum test requires that we rank each group separately rather than together.

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The Wilcoxon signed rank sum test for matched pairs is the nonparametric counterpart of the paired two-sample t-test of μD.

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Comparing the output of strawberries grown on plots using fertilizer A with that grown on otherwise identical plots using fertilizer B,in order to make a general assessment of relative fertilizer effectiveness,may well call for a:

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The nonparametric counterpart of the parametric t-test of μD for matched pairs is the:

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In testing the hypotheses H0: The two population locations are the same. H1: The location of population A is to the left of the location of population b.The statistics nA = 6,TA = 32,nB = 8,and TB = 58 are calculated with data drawn from two independent samples: a.Which test is used for testing the hypotheses above? b.What is the p-value of this test?

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The data for analysis by a Kruskal-Wallis test are either ordinal or interval,but they do not have a(n)____________________ distribution.

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Movie Scripts ​ In general,before a producer agrees to make a movie,each script is thoroughly reviewed by movie editors.Suppose that the Big-Screen Film Company has recently received two scripts for new movies.To help them decide which one to produce,both are sent to 30 editors who rate the scripts to judge which one is better.Suppose that 10 editors rate script 1 better and 20 rate script 2 better. ​ ​ -{Movie Scripts Narrative} What is the p-value of this test?

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In a normal approximation to the Wilcoxon rank sum test,the standardized test statistic is calculated as z = 1.96.For a two-tail test,the p-value of the test is 0.025.

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Airlines Ranking Ten business people who fly frequently from Las Vegas to Miami were asked to rank four airlines in terms of the quality of service.The people assigned scores using a 5-point Likert scale where: 1 = bad,2 = poor,3 = average,4 = good,and 5 = excellent.The results are shown below:  Airlines Ranking  Ten business people who fly frequently from Las Vegas to Miami were asked to rank four airlines in terms of the quality of service.The people assigned scores using a 5-point Likert scale where: 1 = bad,2 = poor,3 = average,4 = good,and 5 = excellent.The results are shown below:   ​ ​ -{Airlines Ranking Narrative} Using the appropriate statistical table,what statement can be made about the p-value for the test in the previous question? Explain how to use the p-value for testing the hypotheses. ​ ​ -{Airlines Ranking Narrative} Using the appropriate statistical table,what statement can be made about the p-value for the test in the previous question? Explain how to use the p-value for testing the hypotheses.

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Airlines Ranking Ten business people who fly frequently from Las Vegas to Miami were asked to rank four airlines in terms of the quality of service.The people assigned scores using a 5-point Likert scale where: 1 = bad,2 = poor,3 = average,4 = good,and 5 = excellent.The results are shown below:  Airlines Ranking  Ten business people who fly frequently from Las Vegas to Miami were asked to rank four airlines in terms of the quality of service.The people assigned scores using a 5-point Likert scale where: 1 = bad,2 = poor,3 = average,4 = good,and 5 = excellent.The results are shown below:   ​ ​ -{Airlines Ranking Narrative} Which test is appropriate if you want to compare the quality of service of the four airlines? ​ ​ -{Airlines Ranking Narrative} Which test is appropriate if you want to compare the quality of service of the four airlines?

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A parametric test is a hypothesis test that depends on certain specific assumptions about the probability distribution of population values or the sizes of population parameters.

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The critical value is taken from the F-distribution whenever the test is a Kruskal-Wallis test.

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A nonparametric method to compare two or more populations,when the samples are matched pairs and the data are either ordinal or interval but not normal,is the:

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Use the Wilcoxon rank sum test on the data below to determine at the 5% significance level whether the location of population A is to the left of the location of population B. Use the Wilcoxon rank sum test on the data below to determine at the 5% significance level whether the location of population A is to the left of the location of population B.

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If the rank sums for each sample are similar,the test statistic H for the Kruskal-Wallis test will be ____________________.As a result,you ____________________ (do/do not)reject H0.

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An ardent fan of television game shows has observed that,in general,the more educated the contestant,the less money he or she wins.To test her belief she gathers data about the last eight winners of her favorite game show.She records their winnings in dollars and the number of years of education.The results are as follows. An ardent fan of television game shows has observed that,in general,the more educated the contestant,the less money he or she wins.To test her belief she gathers data about the last eight winners of her favorite game show.She records their winnings in dollars and the number of years of education.The results are as follows.   Can she conclude at the 5% significance level that the more educated the contestant,the less the money he or she wins in TV game shows? (The condition of normality is not met by these variables.) Can she conclude at the 5% significance level that the more educated the contestant,the less the money he or she wins in TV game shows? (The condition of normality is not met by these variables.)

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