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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 1872 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 1873 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 1874 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 1875  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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 Winter '14

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