Unformatted text preview: Business Statistics 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. 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 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. 1827 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. 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, = 9, s1 = 5, s2 = 3, n1 = 13, n2 = 10. 2 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. 1828 Chapter 01  An Introduction to Business Statistics 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  1 2 will have a mean of _________. 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 46. When testing the difference between two population proportions, __________ test statistic
is used.
A. Z
B. t
C. F
D. t2 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 1829 Chapter 01  An Introduction to Business Statistics 48. When comparing two independent population means when population variances are not
known and the samples are normally distributed, the correct test statistic to use is ____.
A. Z
B. t
C. F
D. t2 49. When comparing two independent population variances, the correct test statistic to use is
__________.
A. Z
B. t
C. F
D. t2 50. When comparing two independent population means where the population variances are
known and n1 and n2 are sufficiently large, the correct test statistic to use is ____.
A. Z
B. t
C. F
D. t2 51. An experiment in which there is no relationship between the measurements on the
different samples is a(n) ______ experiment.
A. Paired difference
B. Equal variances
C. Independent samples
D. Dependent samples 1830 Chapter 01  An Introduction to Business Statistics 52. An experiment in which two different measurements are taken on the same units and
inferences are made using the differences between the pairs of measurements is a(n) ______
experiment.
A. Paired difference
B. Equal variances
C. Independent samples
D. Dependent samples 53. When testing the difference for the population of paired differences in which two different
observations are taken on the same units, the correct test statistic to use is ____.
A. Z
B. t
C. F
D. t2 54. In order to test the effectiveness of a drug called XZR desi...
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