STA 3024 Exam 1 Sample Questions

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123. The measurements of some quantitative variable for random samples from two independentgroups are as follows:Group 1 42 9 38 46 37 16 39 11 11Group 2 17 13 18 31 21 22 32 26 21We want to decide whether to analyze this data using a two-sample t test, which assumes thatthe data for each group comes from a normal distribution, or the Mann-Whitney U test. Whichtest would probably be a better choice for this data?(A) the two sample t test(B) the Mann-Whitney U test124. The distribution of the test statistic U under H 0 for a certain Mann-Whitney U test is shownbelow.0 2 4 6 8 10 12 14 16The test has a one-sided alternative hypothesis, and for this particular data, larger values of thetest statistic U are more supportive of the alternative. Which of the following is true about thep-value corresponding to an observed test statistic value of U = 16?(A) It would be greater than the p-value corresponding to U = 1.(B) It would be equal to the p-value corresponding to U = 15.(C) both (A) and (B)(D) neither (A) nor (B)125. Calculate the value of the Mann-Whitney U test statistic for the data shown below. (Group 1has five observations, while Group 2 has only four.)(A) 02(B) 13(C) 17(D) 22(E) 32Group 1 7 49 56 14 21Group 2 1 37 5 3
126. Which of the following statements about nonparametric hypothesis tests is true?(A) They make slightly fewer type II errors than corresponding traditional tests when theassumptions for the traditional test are met.(B) They do not have a test statistic.(C) They do not have hypotheses.(D) They are less affected by outliers than traditional methods are.(E) In general, people are more familiar with them than with traditional tests.127. Two possible arrangements of ranks for a Mann-Whitney U test are shown below. If the nullhypothesis is true, which of these two arrangements is more likely to occur?Group 1 5 3 2Group 2 6 4 1Arrangement IGroup 1 6 2 1Group 2 5 3 4Arrangement II(A) Arrangement I is more likely.(B) Arrangement II is more likely.(C) Arrangement I and Arrangement II are equally likely.128. In circumstances where all the assumptions for traditional methods are met, which means thateither traditional or nonparametric methods could be used, which of the following is true?(A) People are more familiar with nonparametric methods than with traditional methods.(B) Nonparametric confidence interval procedures are fairly simple, but nonparametric hypothesistesting is more complicated.(C) Nonparametric hypothesis tests usually make slightly more type I errors than the correspondingtraditional hypothesis tests do.(D) Nonparametric hypothesis tests usually make slightly more type II errors than the correspondingtraditional hypothesis tests do.129. Suppose we want to use the Mann-Whitney U test to compare two groups. The response variablevalues are shown below.Group 1 13 6 7 14 18Group 2 1 3 9 19 15Calculate the value of the Mann-Whitney U test statistic. (For the step in the calculation whereyou can use either group, use Group 1.)(A) 14(B) 25(C) 29(D) 40(E) 43
Page 1 and 2: STA 3024Exam 1 Sample QuestionsIn t
Page 3 and 4: 7. In a chi-squared test, which of
Page 5 and 6: 16. For the contingency table below
Page 7 and 8: 22. In a chi-squared test with df =
Page 9 and 10: 30. A researcher is conducting a ch
Page 11 and 12: 39. How does Fisher’s exact test
Page 13 and 14: 47. A company is investigating the
Page 15 and 16: 53. Consider the conditional distri
Page 17 and 18: 58. A researcher conducts a chi-squ
Page 19 and 20: 66. A previous study reported that
Page 21 and 22: 72. Suppose we want to test for ind
Page 23 and 24: 78. Suppose for simplicity that 50%
Page 25 and 26: 85. Suppose we’re investigating t
Page 27 and 28: 91. A study is conducted in which h
Page 29 and 30: 97. Suppose we want to test for ind
Page 31 and 32: 102. Which of the following two con
Page 33 and 34: 109. For the data shown in the foll
Page 35 and 36: Chapter 4: Nonparametric Methods113
Page 37: 119. A Mann-Whitney U test with a t
Page 41: 135. The distribution of the test s

STA 3024 Exam 1 Sample Questions

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