Exam 17: Introduction to Nonparametric Statistics

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If you are interested in testing whether the median of a population is equal to a specific value,an appropriate test to use is:

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The following null and alternative hypotheses are appropriate when using a Wilcoxon signed rank test. H0 : Population Median equals 14.5 HA : Population Median is not equal to 14.5

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When employing a small sample Mann-Whitney U test for a two-tailed test,which of the following is true?

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Which of the following is not an assumption of the Kruskal-Wallis one-way analysis of variance?

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Which of the following is not an assumption of the Mann-Whitney U test?

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If a decision maker wishes to test whether four independent populations have the same center and is unwilling to make the assumption that the populations are normally distributed with equal variances,she can use the Kruskal-Wallis test.

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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.The following sample data were collected: 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.The following sample data were collected:    Assuming that the test of the owners' claim is going to be conducted using an alpha = .05 level,the null hypothesis that the median cost does not exceed $125 should not be rejected. Assuming that the test of the owners' claim is going to be conducted using an alpha = .05 level,the null hypothesis that the median cost does not exceed $125 should not be rejected.

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A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management.The following sample data were collected: A claim was recently made that stated that the median income for male and female graduates is the same for those graduating with a degree in operations management.The following sample data were collected:    In employing the Mann-Whitney U test,the U test statistic is 25.5 In employing the Mann-Whitney U test,the U test statistic is 25.5

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Consider the situation in which a study was recently conducted to determine whether the median price of houses is the same in Seattle and Phoenix.The following data were collected. Consider the situation in which a study was recently conducted to determine whether the median price of houses is the same in Seattle and Phoenix.The following data were collected.   Given these data,if a Mann-Whitney U test is to be used,the test statistic is: Given these data,if a Mann-Whitney U test is to be used,the test statistic is:

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The Kruskal-Wallis test is used to test whether the centers of 3 or more populations are equal so long as that is the only possible difference between the population distributions.

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A recent study was conducted to determine if any of three suppliers of electronic components has a different median delivery time on special orders.To test this,five orders were given to each supplier and the delivery days were recorded.These data are shown as follows: A recent study was conducted to determine if any of three suppliers of electronic components has a different median delivery time on special orders.To test this,five orders were given to each supplier and the delivery days were recorded.These data are shown as follows:    If a Kruskal-Wallis test is to be performed,the number of degrees of freedom for determining the critical value is 2. If a Kruskal-Wallis test is to be performed,the number of degrees of freedom for determining the critical value is 2.

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The General Electric service department believes that the median time for a service call should be 30 or fewer minutes.To test this,the following random sample of service times was collected: The General Electric service department believes that the median time for a service call should be 30 or fewer minutes.To test this,the following random sample of service times was collected:   Given that the managers do not wish to make the assumption that the population is normally distributed,the appropriate statistical test for testing about service times is: Given that the managers do not wish to make the assumption that the population is normally distributed,the appropriate statistical test for testing about service times is:

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In a large sample test about a single population median,it is appropriate to employ the standard normal distribution so long as the population is also normally distributed.

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The Mann-Whitney U test assumes that the 2 samples are:

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A recent study was conducted to determine if any of three suppliers of electronic components has a different median delivery time on special orders.To test this,five orders were given to each supplier and the delivery days were recorded.These data are shown as follows: A recent study was conducted to determine if any of three suppliers of electronic components has a different median delivery time on special orders.To test this,five orders were given to each supplier and the delivery days were recorded.These data are shown as follows:    If a Kruskal-Wallis test is to be performed,the sum of the rankings for Supplier 1 is 45. If a Kruskal-Wallis test is to be performed,the sum of the rankings for Supplier 1 is 45.

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Kruskal-Wallis One-Way Analysis of Variance is the nonparametric counterpart to the one-way ANOVA procedure in which the assumptions of normally distributed populations with equal variances are satisfied.

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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.    The value of the test statistic is H = 0.68 The value of the test statistic is H = 0.68

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A survey was recently conducted in which random samples of car owners of Chrysler,GM,and Ford cars were surveyed to determine their satisfaction.Each owner was asked to rate overall satisfaction on a scale of 1 (poor)to 1000 (excellent).The following data were recorded: A survey was recently conducted in which random samples of car owners of Chrysler,GM,and Ford cars were surveyed to determine their satisfaction.Each owner was asked to rate overall satisfaction on a scale of 1 (poor)to 1000 (excellent).The following data were recorded:   If the analysts are not willing to assume that the population ratings are normally distributed and will use the Kruskal-Wallis test to determine if the three companies have different median ratings,what is the appropriate critical value if the test is to be conducted using an alpha = .05 level? If the analysts are not willing to assume that the population ratings are normally distributed and will use the Kruskal-Wallis test to determine if the three companies have different median ratings,what is the appropriate critical value if the test is to be conducted using an alpha = .05 level?

(Multiple Choice)
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Managers for a company that produces a weight loss product claim that the median weight lost over six weeks for people who use this product will be at least 20 pounds.The following data were collected from a sample of nine people who used the product. Managers for a company that produces a weight loss product claim that the median weight lost over six weeks for people who use this product will be at least 20 pounds.The following data were collected from a sample of nine people who used the product.    In order to test the manager's claim,they will need to assume that the population is normally distributed. In order to test the manager's claim,they will need to assume that the population is normally distributed.

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The Mann-Whitney U test is always a one-tailed test.

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