Question 1

As the sample size increases, the variability among the sample means

Accepted Answer

A)   increases.
B)   decreases.
C)   remains the same.
D)   depends upon the specific population being sampled.E) B) and C)
F) None of the above

Question 2

A random sample of 144 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population)  is 0.3 ounces. In this problem the 0.3 is

Accepted Answer

A)   a parameter.
B)   a statistic.
C)   the standard error of the mean.
D)   the average content of colognes in the long run.E) A) and C)
F) A) and D)

Question 3

How many simple random samples of size 3 can be selected from a population of size 8?

Accepted Answer

A)   336
B)   24
C)   56
D)   6561E) A) and B)
F) C) and D)

Question 4

Which of the following attributes or dimensions of big data is described as the reliability of data generated?

Accepted Answer

A)   Volume
B)   Variety
C)   Veracity
D)   VelocityE) A) and C)
F) All of the above

Question 5

In point estimation

Accepted Answer

A)   data from the population is used to estimate the population parameter.
B)   data from the sample is used to estimate the population parameter.
C)   data from the sample is used to estimate the sample statistic.
D)   the mean of the population equals the mean of the sample.E) A) and B)
F) B) and C)

Question 6

The closer the sample mean is to the population mean,

Accepted Answer

A)   the larger the sampling error.
B)   the smaller the sampling error.
C)   the sampling error equals 1.
D)   none of these alternatives is correct.E) All of the above
F) A) and B)

Question 7

Which of the following is(are)  point estimator(s) ?

Accepted Answer

A)   σ
B)   μ
C)   s
D)   αE) A) and C)
F) B) and C)

Question 8

When some segments of the population are either more or less likely to respond to the survey mechanism is which of the following nonsampling errors?

Accepted Answer

A)   Coverage error
B)   Nonresponse error
C)   Measurement error
D)   Research errorE) B) and C)
F) A) and D)

Question 9

As the sample size increases, the

Accepted Answer

A)   standard deviation of the population decreases.
B)   population mean increases.
C)   standard error of the mean decreases.
D)   standard error of the mean increases.E) C) and D)
F) All of the above

Question 10

Any set of data that is too large or too complex to be handed by standard data-processing techniques and typical desktop software is called which of the following?

Accepted Answer

A)   Big data
B)   Large data
C)   Compound data
D)   Complex dataE) A) and D)
F) B) and C)

Question 11

A sample of 92 observations is taken from an infinite population. The sampling distribution of  is approximately

Accepted Answer

A)   normal because  is always approximately normally distributed.
B)   normal because the sample size is small in comparison to the population size.
C)   normal because of the central limit theorem.
D)   none of these alternatives is correct.E) B) and C)
F) None of the above

Question 12

The sample statistic, such as  , s, or  , that provides the point estimate of the population parameter is known as a

Accepted Answer

A)   point estimator.
B)   parameter.
C)   population parameter.
D)   population statistic.E) A) and D)
F) A) and C)

Question 13

A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation were determined to be 360 and 120 respectively. The standard error of the mean is

Accepted Answer

A)   3.33.
B)   3.
C)   10.
D)   20.E) C) and D)
F) B) and C)

Question 14

A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

Accepted Answer

A)   0.6826
B)   0.3413
C)   -0.6826
D)   Since the mean is not given, there is no answer to this question.E) A) and D)
F) C) and D)

Question 15

The following data was collected from a simple random sample of a population.  The mean of the population

Accepted Answer

A)   is 14.
B)   is 15.
C)   is 15.1581.
D)   could be any value.E) B) and D)
F) None of the above

Question 16

A population has a mean of 60 and a standard deviation of 18. A sample of 81 observations will be taken. The probability that the sample mean will be larger than 64 is

Accepted Answer

A)   0.5228.
B)   0.9772.
C)   0.4772.
D)   0.0228.E) A) and D)
F) B) and D)

Question 17

The purpose of statistical inference is to provide information about the

Accepted Answer

A)   sample based upon information contained in the population.
B)   population based upon information contained in the sample.
C)   population based upon information contained in the population.
D)   mean of the sample based upon the mean of the population.E) A) and B)
F) A) and D)

Question 18

When the population has a normal distribution, the sampling distribution of  is normally distributed for any sample

Accepted Answer

A)   size.
B)   size of 30 or more.
C)   size of 50 or more.
D)   from a finite population.E) C) and D)
F) A) and B)

Question 19

The standard deviation of  is referred to as the _____ proportion.

Accepted Answer

A)   standard
B)   sample mean
C)   deviated
D)   standard error of theE) A) and B)
F) A) and C)

Question 20

A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Accepted Answer

A)   500 and 0.047.
B)   500 and 0.050.
C)   0.5 and 0.047.
D)   0.5 and 0.050.E) A) and D)
F) B) and C)

Exam 7: Sampling and Sampling Distributions

In point estimation

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The purpose of statistical inference is to provide information about the

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Which of the following attributes or dimensions of big data is described as the reliability of data generated?

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A population of size 1,000 has a proportion of 0.5. Therefore, the proportion and the standard deviation of the sample proportion for samples of size 100 are

Correct AnswerverifiedShow Answer

As the sample size increases, the variability among the sample means

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A population has a standard deviation of 16. If a sample of size 64 is selected from this population, what is the probability that the sample mean will be within ±2 of the population mean?

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When some segments of the population are either more or less likely to respond to the survey mechanism is which of the following nonsampling errors?

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The standard deviation of is referred to as the _____ proportion.

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A random sample of 144 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.3 ounces. In this problem the 0.3 is

Correct AnswerverifiedShow Answer

How many simple random samples of size 3 can be selected from a population of size 8?

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The following data was collected from a simple random sample of a population. The mean of the population

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When the population has a normal distribution, the sampling distribution of is normally distributed for any sample

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Which of the following is(are) point estimator(s) ?

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A population has a mean of 60 and a standard deviation of 18. A sample of 81 observations will be taken. The probability that the sample mean will be larger than 64 is

Correct AnswerverifiedShow Answer

As the sample size increases, the

Correct AnswerverifiedShow Answer

The sample statistic, such as , s, or , that provides the point estimate of the population parameter is known as a

Correct AnswerverifiedShow Answer

A sample of 92 observations is taken from an infinite population. The sampling distribution of is approximately

Correct AnswerverifiedShow Answer

The closer the sample mean is to the population mean,

Correct AnswerverifiedShow Answer

Any set of data that is too large or too complex to be handed by standard data-processing techniques and typical desktop software is called which of the following?

Correct AnswerverifiedShow Answer

A simple random sample of 36 observations was taken from a large population. The sample mean and the standard deviation were determined to be 360 and 120 respectively. The standard error of the mean is

Correct AnswerverifiedShow Answer

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