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B. Fail to reject the null hypothesis 78. In an effort to improve productivity in its factory, a firm recently instituted a training
program for its workers. One of the work crews consisted of 14 workers. Seven workers from
this crew were selected at random to attend the training course. All seven workers selected
successfully completed the training course. The remaining seven workers served as a control
group and did not attend the training course. Three months after the training course, a foreman
who did not know which employees attended the training course was asked to rank all 14
employees in terms of their productivity. A rank of 14 indicates the most productive employee
in the crew while a rank of one indicates the least productive worker. State the null hypothesis for this problem.
A. H0: DT ≤ DU
B. H0: DT ≥ DU
C. H0: DT ≠ DU
D. H0: DT > DU 11786 Chapter 01  An Introduction to Business Statistics 79. In an effort to improve productivity in its factory, a firm recently instituted a training
program for its workers. One of the work crews consisted of 14 workers. Seven workers from
this crew were selected at random to attend the training course. All seven workers selected
successfully completed the training course. The remaining seven workers served as a control
group and did not attend the training course. Three months after the training course, a foreman
who did not know which employees attended the training course was asked to rank all 14
employees in terms of their productivity. A rank of 14 indicates the most productive employee
in the crew while a rank of one indicates the least productive worker. At α = .05, can it be concluded that training was beneficial in improving productivity?
A. Reject the null hypothesis, training is beneficial
B. Fail to reject the null hypothesis, cannot determine if the training makes a difference 80. An international economist believes that there is a significant relationship between the
amount of debt and the rate of unemployment. He randomly selected six countries to
determine if there is a significant relationship between debt and unemployment rate. In the
following table, debt figures for the 6 countries are given in billions of dollars and the
corresponding unemployment rate is given in percentages. He also discovered that both the
distribution of debt and the distribution of unemployment rate were highly skewed. Use
Spearman's rank correlation and determine if there is a significant correlation between debt
and unemployment rate. Show the rank correlation. A. rs = .914, reject the null hypothesis
B. rs = .886, fail to reject the null hypothesis
C. rs = .886, reject the null hypothesis
D. rs = .914, fail to reject the null hypothesis 11787 Chapter 01  An Introduction to Business Statistics 81. A random sample of 11 third year medical school students took a comprehensive written
exam as well as a comprehensive oral exam. The scores on both exams are given below. It is
established that both test scores have highly nonnormal distributions. The medical examination board wants to know if the oral exam scores are higher than the
written exam scores. State the appropriate null hypothesis for this problem.
A. H0: The probability distribution of written exam scores is identical to the probability
distribution of oral exam scores.
B. H0:The probability distribution of written exam scores has shifted to the left of the
probability distribution of oral exam scores.
C. H0:The probability distribution of written exam scores has shifted to the right of the
probability distribution of oral exam scores.
D. H0:The probability distribution of written exam scores has shifted to the left or right of the
probability distribution of oral exam scores. 11788 Chapter 01  An Introduction to Business Statistics 82. A random sample of 11 third year medical school students took a comprehensive written
exam as well as a comprehensive oral exam. The scores on both exams are given below. It is
established that both test scores have highly nonnormal distributions. At
= .05, can it be concluded that the oral exam scores are higher than the written exam
scores?
A. Reject the null hypothesis
B. Fail to reject the null hypothesis 83. Given the following sample data: .980, 1.01, .970, .990, 1.00, 1.00, .980, .970, .980, and .
999, run a sign test on H0: Md = 1.00 with a 2sided alternative at α = .05. What do you
conclude?
A. Reject the null hypothesis, pvalue = .0352
B. Fail to reject the null hypothesis, pvalue = .004
C. Reject the null hypothesis, pvalue = .004
D. Fail to reject the null hypothesis, pvalue = .0352 84. The claim of the manufacturer of cell phone batteries is that the median life of a battery is
more than 40 hours. Suppose a random sample of 75 batteries finds that 32 have a life of more
than 40 hours.
State the null hypothesis to test the claim. Assume that the population of all battery lives is
not normally distributed.
A. H0: Md ≥ 40
B. H0: Md ≠ 40
C. H0: Md >...
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