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If the z statistic critical value is incorrectly used

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Unformatted text preview: Medium Learning Objective: 2 Topic: Two independent population means 38. In which of the following tests is the variable of interest the difference between the values of the observations from the two samples rather than the actual observations themselves? A. A test of hypothesis about the mean of a population of paired differences selected from two related samples. B. A test of hypothesis about the difference between the means of two normally distributed populations using large independent samples. C. A test of hypothesis about the difference between the means of two normally distributed populations using small independent samples. D. A test of hypothesis about the difference between two population proportions, using large independent random samples. E. A test of hypothesis about the difference between the variances of two normally distributed populations using independent samples. AACSB: Reflective Thinking Bloom's: Evaluation Difficulty: Medium Learning Objective: 4 Topic: Paired differences 1-872 Chapter 01 - An Introduction to Business Statistics 39. Given the following information about a hypothesis test of the difference between two means based on independent random samples, which one of the following is the correct rejection region at a significance level of .05? HA: µA> µB, 1 = 12, A. Reject H0 if Z > 1.96 B. Reject H0 if Z > 1.645 C. Reject H0 if t > 1.721 D. Reject H0 if t > 2.08 E. Reject H0 if t > 1.782 = 9, s1 = 4, s2 = 2, n1 = 13, n2 = 10. 2 AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Learning Objective: 1 Topic: Two independent population means 40. Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the standard deviation of the difference between the two means? Assume that the samples are obtained from normally distributed populations having equal variances. HA: µA> µB, A. 1.792 B. 1.679 C. 2.823 D. 3.210 E. 1.478 1 = 12, 2 = 9, s1 = 5, s2 = 3, n1 = 13, n2 = 10. AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 2 Topic: Two independent population means 1-873 Chapter 01 - An Introduction to Business Statistics 41. Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations having equal variances. HA: µA> µB, A. t = 1.96 B. t = 1.5 C. t = 2.823 D. t = 1.674 E. t = 1.063 1 = 12, 2 = 9, s1 = 5, s2 = 3, n1 = 13, n2 = 10. AACSB: Analytic Bloom's: Application Difficulty: Hard Learning Objective: 2 Topic: Two independent population means 42. Given the following information about a hypothesis test of the difference between two variances based on independent random samples, what is the calculated value of the test statistic? Assume that the samples are obtained from normally distributed populations. HA: σ2A> σ2B, A. F = 2.0 B. F = 3.0 C. F = 1.667 D. F = 1.778 E. F = 2.778 1 = 12, 2 = 9, s1 = 5, s2 = 3, n1 = 13, n2 = 10. AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 7 Topic: Two population variances 1-874 Chapter 01 - An Introduction to Business Statistics 43. Given the following information about a hypothesis test of the difference between two variances based on independent random samples, what is the critical value of the test statistic at a significance level of .05? Assume that the samples are obtained from normally distributed populations. HA: σ2A> σ2B, A. 3.87 B. 3.44 C. 3.07 D. 2.8 E. 2.38 1 = 12, 2 = 9, s1 = 5, s2 = 3, n1 = 13, n2 = 10. AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 7 Topic: Two population variances 44. Given two independent normal distributions with s12- s12 = 100, µ1= µ2 = 50, n1= n2 = 50, the sampling distribution of the mean difference A. 1 B. 0 C. 50 D. 100 AACSB: Reflective Thinking Bloom's: Analysis Difficulty: Medium Learning Objective: 2 Topic: Two independent population means 1-875 - 1 2 will have a mean of _________. Chapter 01 - An Introduction to Business Statistics 45. In testing the difference between the means of two normally distributed populations, if µ1 = µ2 = 50, n1= 9, n2 = 13, the degrees of freedom for the t statistic is ___________. A. 22 B. 21 C. 19 D. 20 AACSB: Analytic Bloom's: Application Difficulty: Medium Learning Objective: 2 Topic: Two independent population means 46. When testing the difference between two population proportions, __________ test statistic is used. A. Z B. t C. F D. t2 AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: Medium Learning Objective: 5 Topic: Two independent population proportions 47. When comparing two independent population means by using small samples selected from two independent normally distributed populations with equal variances, the correct test statistic to use is ____. A. Z B. t C. F D. t2 AACSB: Reflective Thinking Bloom's: Comprehension Difficulty: M...
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