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The distributions of salaries were highly skewed the

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Unformatted text preview: set and all of the values in the single set are ranked from smallest to largest. A. Wilcoxon Rank Sum B. Kruskal-Wallis C. Wilcoxon signed rank D. Sign Test AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 2 Topic: Rank Sum 58. The Kruskal-Wallis H statistic can be approximated by the _____________ distritibution. A. Normal B. Chi-square C. Z D. t AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Hard Learning Objective: 4 Topic: Kruskal-Wallis 1-1827 Chapter 01 - An Introduction to Business Statistics 59. In order to perform the ________________ test, all of the observations in p samples are combined into a single set and all of the values in the single set are ranked from smallest to largest. After ranking, sum of the ranks for each of the p samples are calculated. A. Wilcoxon Rank Sum B. Kruskal-Wallis C. Wilcoxon signed rank D. Sign Test AACSB: Reflective Thinking Bloom's: Knowledge Difficulty: Medium Learning Objective: 4 Topic: Kruskal-Wallis 60. Wax-com Electronics Inc. claims that a certain circuit board has a median operating life of less than 20,000 hours. A random sample of 25 such circuit boards showed 8 circuit boards failing before 20,000 hours and 17 circuit boards failing after 20,000 hours. Assume the useful life of the circuit board is not normally distributed and state the null hypothesis. A. H0: Md ≥ 20,000 B. H0: Md ≤ 20,000 C. H0: Md < 20,000 D. H0: Md ≠ 20,000 H0: Md ≥ 20,000, HA: Md < 20,000 AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 1 Topic: Sign Test 1-1828 Chapter 01 - An Introduction to Business Statistics 61. Wax-com Electronics Inc. claims that a certain circuit board has a median operating life of less than 20,000 hours. A random sample of 25 such circuit boards showed 8 circuit boards failing before 20,000 hours and 17 circuit boards failing after 20,000 hours. Assume the useful life of the circuit board is not normally distributed. At α = .05, can it be concluded that the sample contradicts the claim of the company? A. Reject the null hypothesis B. Fail to reject the null hypothesis Since -1.6 > -1.645, failed to reject H0. It appears that the claim of the company is not correct. The median operating life of the circuit board is not less then 20,000 hours. AACSB: Analytic Skills Bloom's: Application Difficulty: Medium Learning Objective: 1 Topic: Sign Test 62. The EPA has stipulated that the PSI, "Pollution Standard Index" for clean air standards is to be no more than 100 on the average. A random sample of 9 days for the city of Acorn showed PSI readings of 144, 85, 90, 120, 150, 105, 93, 130 and 115. The EPA wants to test to determine if Acorn's air is dirtier than the stipulated clean air standards. Assume the population of PSI readings is highly non-normal and state the null hypothesis. A. H0: Md ≥ 100 B. H0: Md ≤ 100 C. H0: Md ≠ 100 D. H0: Md > 100 H0: Md ≤ 100 or H0: Md = 100, HA: Md > 100 AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Hard Learning Objective: 1 Topic: Sign Test 1-1829 Chapter 01 - An Introduction to Business Statistics 63. The EPA has stipulated that the PSI, "Pollution Standard Index" for clean air standards is to be no more than 100 on the average. A random sample of 9 days for the city of Acorn showed PSI readings of 144, 85, 90, 120, 150, 105, 93, 130 and 115. Assume the population of PSI readings is highly non-normal. Is there significant evidence to conclude that Acorn's air is dirtier than the stipulated clean air standards? Test at α = .05. A. Reject the null hypothesis B. Fail to reject the null hypothesis Failed to reject H0. No, Acorn's air is not dirtier than the stipulated clean air standards. H0: Md ≤ 100 or H0: Md = 100, HA: Md > 100 Reject H0 if p-value is < α p-value = P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) p-value = .1641 + .0703 + . 0176 + .002 = .254 .254 > .05, failed to reject H0. AACSB: Analytic Skills Bloom's: Application Difficulty: Hard Learning Objective: 1 Topic: Sign Test 64. The EPA has stipulated that the PSI, "Pollution Standard Index" for clean air standards is to be no more than 100 on the average. A random sample of 9 days for the city of Acorn showed PSI readings of 144, 85, 90, 120, 150, 105, 93, 130 and 115. Assume the population of PSI readings is highly non-normal. EPA wants to determine if there is significant evidence to conclude that Acorn's air is dirtier than the stipulated clean air standards. The test is conducted at α = .05 and the p-value is found to be .254. Based on this result, provide a one sentence managerial conclusion. A. Acorn's air is dirtier than the EPA stipulated clean air standards. B. Cannot conclude that Acorn's air is dirtier than the EPA stipulated clean air standards. C. Acorn's air is better than the EPA stipulated clean air standards. D. Acorn's air meets the EPA stipulated clean air standards. Since .254 > .05, failed to reject H0 AACSB: Refl...
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