Unformatted text preview: would be chosen?
A. Wilcoxon signed rank test
B. Wilcoxon rank sum test
C. Sign test
D. KruskalWallis test
E. Spearman's rank correlation test 11765 Chapter 01  An Introduction to Business Statistics 34. In a manufacturing facility producing fasteners, a foreman suspects that the diameter of
the bolt produced by his second shift workers is greater than the diameter of the bolts
produced by his first shift workers. He takes a sample of 5 bolts from the first shift and a
sample of 4 bolts from the second shift and measures the diameters in inches. Distribution of
bolt diameter measurements is not normally distributed. Which one of the following
nonparametric tests is appropriate for this problem?
A. Wilcoxon signed rank test
B. Wilcoxon rank sum test
C. Sign test
D. KruskalWallis test
E. Spearman's rank correlation test 35. The __________________ is a general test to detect whether the probability distribution
of one population has shifted to the right or to the left of the probability distribution of another
population.
A. Sign test
B. Wilcoxon rank sum test
C. Wilcoxon signed rank test
D. KruskalWallis test 36. Assume that the following data set is not normally distributed.
(21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5)
If Ha: Md < 6, then the value of S is:
A. 0
B. 1
C. 2
D. 3
E. 4 11766 Chapter 01  An Introduction to Business Statistics 37. Assume that the following data set is not normally distributed.
(21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5)
If Ha: Md > 6, then the pvalue is:
A. .0161
B. .0029
C. .0537
D. .0322
E. .0192 38. Assume that the following data set is not normally distributed.
(21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5)
If Ha: Md ≠ 7, then the pvalue is:
A. .0161
B. .0029
C. .0384
D. .0322
E. .0192 39. Assume that the following data set is not normally distributed.
(21, 18, 4, 9, 14, 16, 17, 12, 15, 8, 7, 5)
If Ha: Md < 16, then the pvalue is:
A. .0161
B. .0729
C. .0192
D. .0384
E. .1458 11767 Chapter 01  An Introduction to Business Statistics 40. Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table
below. At a significance level of .05, which one of the following statements is correct regarding the
following null hypothesis?
H0: D1 is shifted to the right or left of D2
A. We reject H0 and conclude there is very strong evidence that the median value of the first
sample significantly differs from the median value of the second sample.
B. We reject H0 and conclude there is very strong evidence that the median value of the first
sample is significantly less than the median value of the second sample.
C. We failed to reject H0 and conclude there is not sufficient evidence that the median value
of the first sample is significantly less than the median value of the second sample.
D. We failed to reject H0 and conclude there is not sufficient evidence to conclude that the
median value of the first sample is not significantly different than the median value of the
second sample.
E. We failed to reject H0 and conclude there is very strong evidence that the median value of
the first sample is significantly greater than the median value of the second sample. 11768 Chapter 01  An Introduction to Business Statistics 41. Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table
below. At a significance level of .05, which one of the following rejection point conditions is correct
regarding the following null hypothesis?
H0: D1 is shifted to the right or left of D2
A. Reject H0 if T ≥ 83
B. Reject H0 if T ≥ 127
C. Reject H0 if T ≥ 131
D. Reject H0 if T ≤ 83
E. Reject H0 if T ≤ 79 11769 Chapter 01  An Introduction to Business Statistics 42. Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table
below. At a significance level of .05, which one of the following rejection point conditions is correct
regarding the following null hypothesis?
H0: D1 is shifted to the left of D2
A. Reject H0 if T ≥ 83
B. Reject H0 if T ≤ 127
C. Reject H0 if T ≥ 131
D. Reject H0 if T ≤ 83
E. Reject H0 if T ≤ 79 11770 Chapter 01  An Introduction to Business Statistics 43. Refer to the MegaStat/Excel output for the Wilcoxon rank sum test given in the table
below. At a significance level of .05, which one of the following statements is correct regarding the
following null hypothesis?
H0: D1 is shifted to the left of D2
A. We reject H0 and conclude there is very strong evidence that the median value of the first
sample significantly differs from the median value of the second sample.
B. We reject H0 and conclude there is very strong evidence that the median value of the first
sample is significantly less than the median value of the second sample.
C. We failed to reject H0 and conclude there is not sufficient evidence that the median value
of the first sample is significantly less than the median value of the second sample.
D. We failed to reject H0 and conclude there is not sufficient evidence to conclude that the
median value of the...
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