Question 1

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The mean of the population

Accepted Answer

A)  is 14 
B)  is 15 
C)  is 15.1581 
D)  could be any value 
A)  is 14 
B)  is 15 
C)  is 15.1581 
D)  could be any value

Question 2

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. 
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 3

From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is

Accepted Answer

A)  3 
B)  2 
C)  greater than 2 
D)  less than 2 
A)  3 
B)  2 
C)  greater than 2 
D)  less than 2

Question 4

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population standard deviation is

Accepted Answer

A)  2.500 
B)  1.581 
C)  2.000 
D)  1.414 
A)  2.500 
B)  1.581 
C)  2.000 
D)  1.414

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

Question 7

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 
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 8

The standard deviation of all possible values is called the

Accepted Answer

A)  standard error of proportion 
B)  standard error of the mean 
C)  mean deviation 
D)  central variation 
A)  standard error of proportion 
B)  standard error of the mean 
C)  mean deviation 
D)  central variation

Question 9

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 without replacement) which are possible equals

Accepted Answer

A)  12 
B)  15 
C)  3 
D)  16 
A)  12 
B)  15 
C)  3 
D)  16

Question 10

The probability distribution of all possible values of the sample mean is

Accepted Answer

A)  the probability density function of 
B)  the sampling distribution of 
C)  the grand mean, since it considers all possible values of the sample mean 
D)  one, since it considers all possible values of the sample mean 
A)  the probability density function of 
B)  the sampling distribution of 
C)  the grand mean, since it considers all possible values of the sample mean 
D)  one, since it considers all possible values of the sample mean

Question 11

MNM Corporation gives each of its employees an aptitude test. The scores on the test are normally distributed with a mean of 75 and a standard deviation of 15. A simple random sample of 25 is taken from a population of 500.
a. What are the expected value, the standard deviation, and the shape of the sampling distribution of ?
b. What is the probability that the average aptitude test in the sample will be between 70.14 and 82.14?
c. What is the probability that the average aptitude test in the sample will be greater than 82.68?
d. What is the probability that the average aptitude test in the sample will be less than 78.69?
e. Find a value, C, such that P ≥ C) = .015.

Accepted Answer

a. 75; 3; normal 
b.

Question 12

The following data was collected from a simple random sample of a population. 13 15 14 16 12 If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?

Accepted Answer

A)  60 
B)  210 
C)  3024 
D)  362880 
A)  60 
B)  210 
C)  3024 
D)  362880

Question 13

The average weekly earnings of bus drivers in a city are $950 that is μ) with a standard deviation of $45 that is
σ). Assume that we select a random sample of 81 bus drivers.
a. Compute the standard error of the mean.
b. What is the probability that the sample mean will be greater than $960?
c. If the population of bus drivers consisted of 400 drivers, what would be the standard error of the mean?

Accepted Answer

a. 5
b. 0.

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. The mean and the standard deviation of the sampling distribution of the sample means are

Accepted Answer

A)  8.7 and 1.94 
B)  36 and 1.94 
C)  36 and 1.86 
D)  36 and 8 
A)  8.7 and 1.94 
B)  36 and 1.94 
C)  36 and 1.86 
D)  36 and 8

Question 15

The sampling error is the

Accepted Answer

A)  same as the standard error of the mean 
B)  difference between the value of the sample mean and the value of the sample proportion 
C)  error caused by selecting a bad sample 
D)  absolute value of the difference between the proportion of the population and proportion of the sample 
A)  same as the standard error of the mean 
B)  difference between the value of the sample mean and the value of the sample proportion 
C)  error caused by selecting a bad sample 
D)  absolute value of the difference between the proportion of the population and proportion of the sample

Question 16

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

Accepted Answer

A)  1.20 
B)  0.12 
C)  8.00 
D)  0.80 
A)  1.20 
B)  0.12 
C)  8.00 
D)  0.80

Question 17

A bank has kept records of the checking balances of its customers and determined that the average daily balance of its customers is $300 with a standard deviation of $48. A random sample of 144 checking accounts is selected.
a. What is the probability that the sample mean will be more than $306.60?
b. What is the probability that the sample mean will be less than $308?
c. What is the probability that the sample mean will be between $302 and $308?
d. What is the probability that the sample mean will be at least $296?

Accepted Answer

a. 0.0495

Question 18

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is

Accepted Answer

A)  0.1359 
B)  0.8185 
C)  0.3413 
D)  0.4772 
A)  0.1359 
B)  0.8185 
C)  0.3413 
D)  0.4772

Question 19

Exhibit 7-2
A random sample of 10 examination papers in a course, which was given on a pass or fail basis, showed the following scores.
 $\begin{array}{ccc}\text { Paper Number } & \text { Grade }& \text { Status } \\hline
1 & 65 & \text { Pass } \
2 & 87 & \text { Pass } \
3 & 92 & \text { Pass } \
4 & 35 & \text { Fail } \
5 & 79 & \text { Pass } \
6 & 100 & \text { Pass } \
7 & 48 & \text { Fail } \
8 & 74 & \text { Pass } \
9 & 79 & \text { Pass } \
10 & 91 & \text { Pass }
\end{array}$
-Refer to Exhibit 7-2. The point estimate for the mean of the population is

Accepted Answer

A)  750 
B)  100 
C)  85 
D)  75 
A)  750 
B)  100 
C)  85 
D)  75

Question 20

If we consider the simple random sampling process as an experiment, the sample mean is

Accepted Answer

A)  always zero 
B)  always smaller than the population mean 
C)  a random variable 
D)  exactly equal to the population mean 
A)  always zero 
B)  always smaller than the population mean 
C)  a random variable 
D)  exactly equal to the population mean

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The mean of the population

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?

From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population standard deviation is

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

In point estimation

The standard deviation of all possible values is called the

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 without replacement) which are possible equals

The probability distribution of all possible values of the sample mean is

The following data was collected from a simple random sample of a population. 13 15 14 16 12 If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are

The sampling error is the

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is

If we consider the simple random sampling process as an experiment, the sample mean is

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Introduction to Probability

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Exam 7: Sampling and Sampling Distributions

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The mean of the population

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?

From a population of 200 elements, a sample of 49 elements is selected. It is determined that the sample mean is 56 and the sample standard deviation is 14. The standard error of the mean is

The following data was collected from a simple random sample of a population. 13 15 14 16 12 The point estimate of the population standard deviation is

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

In point estimation

The standard deviation of all possible values is called the

There are 6 children in a family. The number of children defines a population. The number of simple random samples of size 2 without replacement) which are possible equals

The probability distribution of all possible values of the sample mean is

The following data was collected from a simple random sample of a population. 13 15 14 16 12 If the population consisted of 10 elements, how many different random samples of size 6 could be drawn from the population?

Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are

The sampling error is the

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is

If we consider the simple random sampling process as an experiment, the sample mean is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Simple Linear Regression

Multiple Regression

Filters