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Unformatted text preview: 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 less than the median value of the second sample. 11771 Chapter 01  An Introduction to Business Statistics 44. Refer to the MegaStat/Excel output for the Wilcoxon signed rank test given in the table
below. At a significance level of .01, 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 not sufficient evidence that the probability distribution
of population 1 is shifted to the left of the probability distribution of population 2.
B. We failed to reject H0 and conclude there is not sufficient evidence that the probability
distribution of population 1 is shifted to the left of the probability distribution of population 2.
C. We reject H0 and conclude there is very strong evidence that the probability distribution of
population 1 is shifted to the left of the probability distribution of population 2.
D. We failed to reject H0 and conclude there is very strong evidence that the probability
distribution of population 1 is shifted to the left or to the right of the probability distribution of
population 2.
E. We failed to reject H0 and conclude there is very strong evidence that the probability
distribution of population 1 is identical to the probability distribution of population 2. 11772 Chapter 01  An Introduction to Business Statistics 45. Refer to the Mega  Stat/Excel output for the Wilcoxon signed rank test given in the table
below. At a significance level of .01, 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. T ≤ 5
B. T+ ≤ 5
C. T ≤ 11
D. T ≤ 3
E. Smaller of the T+ or T is less than 8 11773 Chapter 01  An Introduction to Business Statistics 46. A professional organization is attempting to determine whether salaries of hospital CFOs
differ by geographical region. Five hospital CFOs were randomly selected from each of the
following four regions of the United States: East, Midwest, South, and West. Each CFO was
than asked his or her annual salary. The distributions of salaries were highly skewed. The
table below summarizes the results of the KruskalWallis test obtained from MegaStat/Excel. At a significance level of .05, which one of the following statements is correct regarding the
following null hypothesis?
H0: The four populations under consideration have identical locations
A. We reject H0 and conclude there is very strong evidence that the median hospital CFO
salaries differ among all four regions in the United States.
B. We failed to reject H0 and conclude there is not sufficient evidence that the median hospital
CFO salaries differ among any of the four regions of the United States.
C. We failed to reject H0 and conclude there is only adequate evidence that the median
hospital CFO salaries differ between at least two of the four regions in the United States.
D. We reject H0 and conclude there is strong evidence that the median hospital CFO salaries
differ between at least two of the four regions in the United States.
E. We failed to reject H0 and conclude that all 4 populations under consideration are identical
in their locations. 11774 Chapter 01  An Introduction to Business Statistics 47. A professional organization is attempting to determine whether salaries of hospital CFOs
differ by geographical region. Five hospital CFOs were randomly selected from each of the
following four regions of the United States: East, Midwest, South, and West. Each CFO was
than asked his or her annual salary. The distributions of salaries were highly skewed. The
table below summarizes the results of the KruskalWallis test obtained from MegaStat/Excel. At a significance level of .05, the rejection point condition for the hypothesis test is:
A. Reject H0 if χ2 > 9.3484
B. Reject H0 if χ2 > 30.1435
C. Reject H0 if χ2 > 7.81473
D. Reject H0 if χ2 > .341846
E. Reject H0 if χ2 > 32.8523 48. In a local iceskating contest, there were 2 judges and 15 contestants. Each judge was
asked to rate each contestant on a 7point scale. The most successful candidates received a
rating value of 7, while the least successful candidates received a rating value of 1. It
appeared that the bivariate normal probability distribution assumption is severely violated.
The City Council wants to know whether the judges have similar opinions in rating ice
skating competitors. At a significance level of .01, the rejection point condition for the
hypothesis test is:
A. Reject H0 if rs > .457
B. Reject H0 if rs > .623
C. Reject H0 if rs > .441
D. Reject H0 if rs > .646
E. Reject H0 if rs > .689 11775 Chapter 01  An Introduction to Business Statistics 49. A ______ test is a statistical test that can be used without ass...
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