Unformatted text preview: e of the population proportion is .10, the
mean of the sampling distribution of the sample proportion is:
A. 0.0009
B. 0.10
C. 0.03
D. 0.90
E. 0.09 39. Whenever the population has a normal distribution, the sampling distribution of
normal or near normal distribution:
A. For only large sample sizes
B. For only small sample sizes
C. For any sample size
D. For only samples of size 30 or more 1543 is Chapter 01  An Introduction to Business Statistics 40. If a population distribution is known to be normal, then it follows that:
A. The sample mean must equal the population mean.
B. The sample mean must equal the population mean for large samples.
C. The sample standard deviation must equal the population standard deviation.
D. All of the above.
E. None of the above. 41. If we have a sample size of 100 and the estimate of the population proportion is .10, the
standard deviation of the sampling distribution of the sample proportion is:
A. .0009
B. .03
C. 3
D. 9
E. .10 42. The internal auditing staff of a local manufacturing company performs a sample audit
each quarter to estimate the proportion of accounts that are delinquent more than 90 days
overdue. The historical records of the company show that over the past 8 years 13 percent of
the accounts are delinquent. For this quarter, the auditing staff randomly selected 250
customer accounts. What is the probability that no more than 40 accounts will be classified as
delinquent?
A. 42.07 %
B. 92.07 %
C. 7.93 %
D. 40.15 %
E. 90.15% 1544 Chapter 01  An Introduction to Business Statistics 43. The internal auditing staff of a local manufacturing company performs a sample audit
each quarter to estimate the proportion of accounts that are delinquent more than 90 days
overdue. The historical records of the company show that over the past 8 years 14 percent of
the accounts are delinquent. For this quarter, the auditing staff randomly selected 250
customer accounts. What is the probability that at least 30 accounts will be classified as
delinquent?
A. 31.86 %
B. 18.14 %
C. 81.86 %
D. 63.72 %
E. 75.84 % 44. The internal auditing staff of a local manufacturing company performs a sample audit
each quarter to estimate the proportion of accounts that are delinquent more than 90 days
overdue. The historical records of the company show that over the past 8 years 14 percent of
the accounts are delinquent. For this quarter, the auditing staff randomly selected 250
customer accounts. What are the mean and the standard deviation of the sampling distribution
of
?
A. 14 and 250
B. .14 and .1204
C. 35 and 5.486
D. .14 and .0219
E. 35 and 30.1 45. According to a hospital administrator, historical records over the past 10 years have
shown that 20% of the major surgery patients are dissatisfied with aftersurgery care in the
hospital. A scientific poll based on 400 hospital patients has just been conducted.
What is the probability that less than 64 patients will not be satisfied with the aftersurgery
care?
A. 47.72%
B. 2.28%
C. 97.72%
D. 95.44%
E. 4.56% 1545 Chapter 01  An Introduction to Business Statistics 46. According to a hospital administrator, historical records over the past 10 years have
shown that 20% of the major surgery patients are dissatisfied with aftersurgery care in the
hospital. A scientific poll based on 400 hospital patients has just been conducted.
What is the probability that at least 70 patients will not be satisfied with the aftersurgery
care?
A. 89.44%
B. 39.44%
C. 10.56%
D. 78.88%
E. 84.49% 47. According to a hospital administrator, historical records over the past 10 years have
shown that 20% of the major surgery patients are dissatisfied with aftersurgery care in the
hospital. A scientific poll based on 400 hospital patients has just been conducted.
Sixtyfour (64) patients indicated that they were dissatisfied with the after surgery care. What
are the mean and the standard deviation of the sampling distribution of ?
A. 16% and .034%
B. 20% and 1.83%
C. 20% and 2%
D. 20% and .034%
E. 20% and 16% 48. For nonnormal populations, as the sample size (n) ___________________, the
distribution of sample means approaches a(n) ________________ distribution.
A. Decreases, Uniform
B. Increases, Normal
C. Decreases, Normal
D. Increases, Uniform
E. Increases, Exponential 1546 Chapter 01  An Introduction to Business Statistics 49. In a manufacturing process a machine produces bolts that have an average length of 3
inches with a variance of .03. If we randomly select three bolts from this process: What is the
standard deviation of the sampling distribution of the sample mean?
A. .03
B. .01
C. .1732
D. .0577
E. .10 50. In a manufacturing process a machine produces bolts that have an average length of 3
inches with a variance of .03. If we randomly select three bolts from this process: What is the
probability the mean length of the bolt is at least 3.16 inches?
A. 97.72 %
B. 5.48 %
C. 94.52 %
D. 44.52 %
E. 2.28 % 51. In a manufacturing process a machine produces bolts that have an average length of 3
inches with a var...
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 Winter '14
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