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In performing a chi square test of independence as

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Unformatted text preview: if a population has a normal distribution. D. We perform a hypothesis test to determine if two population variances significantly differ from each other. AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 1 Topic: Chi-Square 25. The χ2 statistic is used to test whether the assumption of normality is reasonable for a given population distribution. The sample consists of 5000 observations and is divided into 6 categories (intervals). The degrees of freedom for the chi-square statistic are: A. 4999 B. 6 C. 5 D. 4 E. 3 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 2 Topic: Chi-Square 26. The chi-square goodness of fit test will be valid if each of the expected cell frequencies is ______________. A. Greater than 0 B. Less than 5 C. Between 0 and 5 D. At least 1 E. At least 5 AACSB: Analytic Bloom's: Application Difficulty: Easy Learning Objective: 1 Topic: Chi-Square 1-1082 Chapter 01 - An Introduction to Business Statistics 27. When we carry out a chi-square goodness of fit test for a normal distribution, the null hypothesis states that the population: A. Does not have a normal distribution B. Has a normal distribution C. Has a chi-square distribution D. Does not have a chi-square distribution E. Has k-3 degrees of freedom AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 2 Topic: Chi-Square 28. When we carry out a chi-square test of independence, the null hypothesis states that the two relevant classifications: A. Are mutually exclusive B. Form a contingency table with r rows and c columns C. Have (r-1) (c-1) degrees of freedom D. Are statistically dependent E. Are normally distributed AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 1-1083 Chapter 01 - An Introduction to Business Statistics 29. Which if any of the following statements about the chi-square test of independence is false? A. If ri is row total for row i and cj is the column total for column j, then the estimated expected cell frequency corresponding to row i and column j equals (ri) (cj)/n. B. The test is valid if all of the estimated cell frequencies are at least five. C. The chi-square statistic is based on (r-1) (c-1) degrees of freedom where r and c denote, respectively the number of rows and columns n the contingency table. D. The alternative hypothesis states that the two classifications are statistically independent. E. All of the above statements are true about the chi-square test of independence. AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Hard Learning Objective: 3 Topic: Chi-Square 30. When we carry out a chi-square test of independence, as the difference between the respective observed and expected frequencies decrease, the probability of concluding that the row variable is independent of the column variable: A. Decreases B. Increases C. May decrease or increase depending on the number of rows and columns D. Will be unaffected AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Hard Learning Objective: 3 Topic: Chi-Square 1-1084 Chapter 01 - An Introduction to Business Statistics 31. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. At a significance level of .05, we performed a chi-square test to determine whether the quality of the items produced appear to be the same for all three processes. What is the null hypothesis? A. H0: The number of defectives produced is independent of the production process used. B. H0: The row and column variables are associated with each other. C. H0: The proportion of defective units produced by the three production processes is the same. D. Both A and C are correct or at least acceptable way of stating the null hypothesis. E. A, B and C are all acceptable ways of stating the null hypothesis. AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 3 Topic: Chi-Square 32. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The production supervisor obtained the following data: Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. At a significance level of .05 we performed chi-square test of independence to determine if the quality of the items produced appears to be independent of the production process. What are the degrees of freedo...
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