Exam 17: Introduction to Nonparametric Statistics

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If a two-tailed Wilcoxon Matched-Pairs Signed Rank test is conducted for a sample of n = 8 and an alpha level equal to .05,the critical value is:

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A

Which of the following tests would not be an example of nonparametric method?

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D

The Wilcoxon signed rank test is used to test hypotheses about the population median.

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When testing whether two paired populations have equal medians and the sample sizes are large,it is appropriate to convert the Wilcoxon Matched-Pairs Signed Rank test to a paired sample t-test.

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Which of the following is not a step involved in the Wilcoxon signed rank test?

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Under what circumstances should the standard normal distribution be used when employing the Mann-Whitney U test?

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The Wilcoxon signed rank test is always a one-tail test with the rejection region in the upper tail.

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Under what conditions should a decision maker use a nonparametric statistical procedure?

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Assume that a Kruskal-Wallis test is being conducted to determine whether or not the medians of three populations are equal.The sum of rankings and the sample size for each group are below. Assume that a Kruskal-Wallis test is being conducted to determine whether or not the medians of three populations are equal.The sum of rankings and the sample size for each group are below.   What is the critical value for this test using a 0.10 level of significance? What is the critical value for this test using a 0.10 level of significance?

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The Kruskal-Wallis test is usually limited to comparing sample values from ________ or more populations.

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Recently,Major League Baseball officials stated that the median cost for a family of four to attend a baseball game including,parking,tickets,food,and drinks did not exceed $125.00.As long as the data are considered interval or ratio level,the t-test can be used to test MLB's claim.

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A marketing firm is interested to know whether the median age of college students is 21 years.A sample of 80 college students is taken.Thirty of the students were under 21,45 of the students were over 21,and 10 were 21 years old.The conclusion is that

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If we wish to test whether two related populations have equal medians,an appropriate nonparametric test to use is:

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The Mann-Whitney U test can be used to test whether two independent populations have the same median so long as the data are measured on at least an ordinal scale.

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Assume you are conducting a two-tailed Mann-Whitney U test for a small sample and have found that U1 = 58 and U2 = 86.What is the value of the test statistic?

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In using the Kruskal-Wallis test the sample sizes for each population must be equal.

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The makers of furnace filters recently conducted a test to determine whether the median number of particulates that would pass through their four leading filters was the same.A random sample of 6 of each type of filter was used with the following data being recorded: The makers of furnace filters recently conducted a test to determine whether the median number of particulates that would pass through their four leading filters was the same.A random sample of 6 of each type of filter was used with the following data being recorded:    If the Kruskal-Wallis test is used with an alpha = .01,the null hypothesis should be rejected and the managers should conclude that the four filters do not allow an equal median number of particulates. If the Kruskal-Wallis test is used with an alpha = .01,the null hypothesis should be rejected and the managers should conclude that the four filters do not allow an equal median number of particulates.

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A large sample Mann-Whitney U test should be used when the sample sizes exceed 20.

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If a decision maker wishes to test to determine whether the medians are equal for two populations the Mann-Whitney U test is appropriate for either independent or dependent sampling situations.

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The Wilcoxon signed rank test should be used in place of the t-test whenever the sample size is less than 20.

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