Question 1

From a population of 500 elements, a sample of 225 elements is selected.It is known that the variance of the population is 900.The standard error of the mean is approximately

Accepted Answer

A)   1.1022
B)   2
C)   30
D)   1.4847 D

Question 2

The expected value of equals the mean of the population from which the sample is drawn​

Accepted Answer

A)   ​only if the sample size is 30 or greater.
B)   ​only if the sample size is 50 or greater.
C)   ​only if the sample size is 100 or greater.
D)   ​for any sample size. D

Question 3

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. B

Question 4

Which of the following best describes the form of the sampling distribution of the sample proportion?

Accepted Answer

A)   When standardized, it is exactly the standard normal distribution.
B)   When standardized, it is the t distribution.
C)   It is approximately normal as long as n  ≥\geq≥  30.
D)   It is approximately normal as long as np  ≥\geq≥  5 and n(1 - p)   ≥\geq≥  5.

Question 5

Which of the following is an example of nonprobabilistic sampling?

Accepted Answer

A)   Simple random sampling
B)   Stratified simple random sampling
C)   Cluster sampling
D)   Judgment sampling

Question 6

A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. 12
18
19
20
21
A point estimate of the mean is

Accepted Answer

A)   400
B)   18
C)   20
D)   10

Question 7

The value of the ___________ is used to estimate the value of the population parameter​

Accepted Answer

A)   ​population statistic
B)   ​sample parameter
C)   ​population estimate
D)   ​sample statistic

Question 8

A population has a mean of 84 and a standard deviation of 12.A sample of 36 observations will be taken.The probability that the sample mean will be between 80.54 and 88.9 is

Accepted Answer

A)   0.0347
B)   0.7200
C)   0.9511
D)   8.3600

Question 9

For a population with any distribution, the form of the sampling distribution of the sample mean is

Accepted Answer

A)   sometimes normal for all sample sizes.
B)   sometimes normal for large sample sizes.
C)   always normal for all sample sizes.
D)   always normal for large sample sizes.

Question 10

The desired situation is when​

Accepted Answer

A)   ​the sampled population is identical to the targeted population.
B)   ​the sampled population is larger than the targeted population.
C)   ​the sampled population is smaller than the targeted population.
D)   ​the sampled population is more varied than the targeted population.

Question 11

A random sample of 121 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 0.22 ounces.The standard error of the mean equals

Accepted Answer

A)   0.3636
B)   0.0331
C)   0.0200
D)   4.000

Question 12

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196.The distribution of the population is unknown.The mean and the standard error of the mean are

Accepted Answer

A)   180 and 24.39
B)   180 and 28
C)   180 and 2
D)   180 and 1.74

Question 13

A population consists of 8 items.The number of different simple random samples of size 3 that can be selected from this population is

Accepted Answer

A)   24
B)   56
C)   512
D)   128

Question 14

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8.Which of the following best describes the form of the sampling distribution of the sample mean for this situation?

Accepted Answer

A)   Approximately normal because the sample size is small relative to the population size
B)   Approximately normal because of the central limit theorem
C)   Exactly normal
D)   None of these alternatives is correct.

Question 15

Which of the following statements about cluster sampling is false?​

Accepted Answer

A)   ​All elements within the randomly selected clusters form the sample
B)   ​It generally requires a smaller total sample size than simple random sampling
C)   ​Ideally, each cluster is a representative small-scale version of the entire population
D)   ​It provides the best results when the elements within the clusters are not alike

Question 16

The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60.The variance of the population

Accepted Answer

A)   can not be larger than 60.
B)   can not be larger than 3600.
C)   must be at least 100.
D)   can be any value greater or equal to zero.

Question 17

The following data was collected from a simple random sample of a population. $$\begin{array} { l l l l l } 
13 & 15 & 14 & 16 & 12
\end{array}$$ The point estimate of the population mean

Accepted Answer

A)   cannot be determined, since the population size is unknown
B)   is 14
C)   is 4
D)   is 5

Question 18

A sample of 51 observations will be taken from an infinite population.The population proportion equals 0.85.The probability that the sample proportion will be between 0.9115 and 0.946 is

Accepted Answer

A)   0.8633
B)   0.6900
C)   0.0819
D)   0.0345

Question 19

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.

Question 20

The number of different simple random samples of size 5 that can be selected from a population of size 8 is

Accepted Answer

A)   40
B)   336
C)   13
D)   56

Exam 7: Sampling and Sampling Distributions

From a population of 500 elements, a sample of 225 elements is selected.It is known that the variance of the population is 900.The standard error of the mean is approximately

The expected value of equals the mean of the population from which the sample is drawn

The purpose of statistical inference is to provide information about the

Which of the following best describes the form of the sampling distribution of the sample proportion?

Which of the following is an example of nonprobabilistic sampling?

A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. 12 18 19 20 21 A point estimate of the mean is

The value of the ___________ is used to estimate the value of the population parameter

A population has a mean of 84 and a standard deviation of 12.A sample of 36 observations will be taken.The probability that the sample mean will be between 80.54 and 88.9 is

For a population with any distribution, the form of the sampling distribution of the sample mean is

The desired situation is when

A random sample of 121 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 0.22 ounces.The standard error of the mean equals

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196.The distribution of the population is unknown.The mean and the standard error of the mean are

A population consists of 8 items.The number of different simple random samples of size 3 that can be selected from this population is

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8.Which of the following best describes the form of the sampling distribution of the sample mean for this situation?

Which of the following statements about cluster sampling is false?

The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60.The variance of the population

The following data was collected from a simple random sample of a population. $\begin{array} { l l l l l } 13 & 15 & 14 & 16 & 12\end{array}$ The point estimate of the population mean

A sample of 51 observations will be taken from an infinite population.The population proportion equals 0.85.The probability that the sample proportion will be between 0.9115 and 0.946 is

In point estimation

The number of different simple random samples of size 5 that can be selected from a population of size 8 is

Exam 7: Sampling and Sampling Distributions

From a population of 500 elements, a sample of 225 elements is selected.It is known that the variance of the population is 900.The standard error of the mean is approximately

The expected value of equals the mean of the population from which the sample is drawn​

The purpose of statistical inference is to provide information about the

Which of the following best describes the form of the sampling distribution of the sample proportion?

Which of the following is an example of nonprobabilistic sampling?

A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. 12 18 19 20 21 A point estimate of the mean is

The value of the ___________ is used to estimate the value of the population parameter​

A population has a mean of 84 and a standard deviation of 12.A sample of 36 observations will be taken.The probability that the sample mean will be between 80.54 and 88.9 is

For a population with any distribution, the form of the sampling distribution of the sample mean is

The desired situation is when​

A random sample of 121 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 0.22 ounces.The standard error of the mean equals

Random samples of size 49 are taken from a population that has 200 elements, a mean of 180, and a variance of 196.The distribution of the population is unknown.The mean and the standard error of the mean are

A population consists of 8 items.The number of different simple random samples of size 3 that can be selected from this population is

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8.Which of the following best describes the form of the sampling distribution of the sample mean for this situation?

Which of the following statements about cluster sampling is false?​

The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60.The variance of the population

The following data was collected from a simple random sample of a population. 1315141612\begin{array} { l l l l l } 13 & 15 & 14 & 16 & 12\end{array}13​15​14​16​12​ The point estimate of the population mean

A sample of 51 observations will be taken from an infinite population.The population proportion equals 0.85.The probability that the sample proportion will be between 0.9115 and 0.946 is

In point estimation

The number of different simple random samples of size 5 that can be selected from a population of size 8 is

The expected value of equals the mean of the population from which the sample is drawn

The value of the ___________ is used to estimate the value of the population parameter

The desired situation is when

Which of the following statements about cluster sampling is false?

The following data was collected from a simple random sample of a population. $\begin{array} { l l l l l } 13 & 15 & 14 & 16 & 12\end{array}$ The point estimate of the population mean