Unformatted text preview: then the sampling distribution of
is also expected to be normal regardless of the sample size.
True False 1537 Chapter 01  An Introduction to Business Statistics 14. If a population is known to be normally distributed, then it follows that the sample mean
must equal the population mean.
True False 15. If p = .8 and n = 50, then we can conclude that the sampling distribution of
approximately a normal distribution.
True False is 16. If p = .9 and n = 40, then we can conclude that the sampling distribution of
approximately a normal distribution.
True False is 17. If the sampled population distribution is skewed, then in most cases the sampling
distribution of the mean can be approximated by the normal distribution if the sample size n is
at least 30.
True False 18. In order to select a stratified random sample, we divide the population into overlapping
groups of similar elements.
True False 19. As the sample size increases, the standard deviation of the sampling distribution
increases.
True False 20. The standard deviation of the sampling distribution of the sample mean is σ.
True False 1538 Chapter 01  An Introduction to Business Statistics 21. The mean of the sampling distribution of
population.
True False is always equal to the mean of the sampled 22. The sampling distribution of the sample mean is developed by repeatedly taking samples
of size n and computing the sample means and reporting the resulting sample means in the
form of a probability distribution.
True False 23. If the sample size n is infinitely large, then
True False is an unbiased estimator of. . 24. The sample standard deviation s is an unbiased estimator of the population standard
deviation
.
True False 25. A common practice in selecting a sample from a large geographic area is multistage
cluster sampling.
True False 26. A low response rate has no effect on the validity of a survey's findings.
True False 1539 Chapter 01  An Introduction to Business Statistics
Multiple Choice Questions 27. A ‘Yes or No' question is _____________.
A. Dichotomous
B. Multiple Choice
C. Openended
D. Systematic 28. _____________ occurs when some population elements are excluded from the process of
selecting the sample.
A. Nonresponse
B. Error of observation
C. Undercoverage
D. Sampling error 29. _____________ is the difference between a numerical description of the population and
the corresponding descriptor of the sample.
A. Sampling error
B. Nonobservation error
C. Observation error
D. Nonresponse 30. The central limit theorem states that as the sample size increases the distribution of the
sample ________ approach the normal distribution.
A. medians
B. means
C. standard deviations
D. variances 1540 Chapter 01  An Introduction to Business Statistics 31. Consider two population distributions labeled A and B. Distribution A is highly skewed
and nonnormal, while the distribution B is slightly skewed and near normal. In order for the
sampling distributions of A and B to achieve the same degree of normality:
A. Population A will require a larger sample size.
B. Population B will require a larger sample size.
C. Population A and B will require the same sample size.
D. None of the above 32. As the sample size ______________ the variation of the sampling distribution of
___________.
A. Decreases, decreases
B. Increases, remains the same
C. Decreases remains the same
D. Increases, decreases
E. None of the above 33. Consider a sampling distribution formed based on n = 3. The standard deviation of the
population of all sample means
is ______________ less than the standard deviation of
the population of individual measurements σ.
A. Always
B. Sometimes
C. Never 1541 Chapter 01  An Introduction to Business Statistics 34. If the sampled population has a mean 48 and standard deviation 16, then the mean and the
standard deviation for the sampling distribution of
A. 4 and 1
B. 12 and 4
C. 48 and 4
D. 48 and 1
E. 48 and 16 for n = 16 are: 35. A manufacturing company measures the weight of boxes before shipping them to the
customers. If the box weights have a population mean and standard deviation of 90 lbs. and
24 lbs. respectively, then based on a sample size of 36 boxes, the probability that the average
weight of the boxes will exceed 94 lbs. is:
A. 34.13%
B. 84.13%
C. 15.87%
D. 56.36%
E. 16.87% 1542 Chapter 01  An Introduction to Business Statistics 36. A manufacturing company measures the weight of boxes before shipping them to the
customers. If the box weights have a population mean and standard deviation of 90 lbs. and
24 lbs. respectively, then based on a sample size of 36 boxes, the probability that the average
weight of the boxes will be less than 84 lbs. is:
A. 16.87%
B. 93.32%
C. 43.32%
D. 6.678%
E. 84.13% 37. The population of all sample proportions has a normal distribution if the sample size (n) is
sufficiently large. The rule of thumb for ensuring that n is sufficiently large is:
A. np ≥ 5
B. n(1  p) 5
C. np ≤ 5
D. n(1  p) ≤ .5 and np ≤ 5
E. np .5 and n(1  p) ≥ 5 38. If we have a sample size of 100 and the estimat...
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 Winter '14
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