Question 1

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. 
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.

Question 2

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

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

From a group of 12 students, we want to select a random sample of 5 students to serve on a university committee. How many combinations of random samples of 5 students can be selected?

Accepted Answer

A)  60 
B)  95,040 
C)  25 
D)  792 
A)  60 
B)  95,040 
C)  25 
D)  792

Question 5

Whenever the population has a normal probability distribution, the sampling distribution of   is a normal probability distribution for

Accepted Answer

A)  large sample sizes. 
B)  small sample sizes. 
C)  any sample size. 
D)  samples of size thirty or greater. 
A)  large sample sizes. 
B)  small sample sizes. 
C)  any sample size. 
D)  samples of size thirty or greater.

Question 6

A random sample of 525 people was taken from a very large population. 225 of the people in the sample were female. The standard error of the proportion is

Accepted Answer

A)  0.9783. 
B)  0.0217. 
C)  0.9668. 
D)  0.0332. 
A)  0.9783. 
B)  0.0217. 
C)  0.9668. 
D)  0.0332.

Question 7

How many simple random samples of size 4 can be selected from a population of size 8?

Accepted Answer

A)  32 
B)  4 
C)  1680 
D)  70 
A)  32 
B)  4 
C)  1680 
D)  70

Question 8

A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

Accepted Answer

A)  0.100. 
B)  0.010. 
C)  0.001. 
D)  0.002. 
A)  0.100. 
B)  0.010. 
C)  0.001. 
D)  0.002.

Question 9

In a local university, 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study. The probability that the sample proportion (the proportion living in the dormitories) is between 0.69 and 0.72 is

Accepted Answer

A)  0.7778. 
B)  0.2222. 
C)  0.2347. 
D)  0.7653. 
A)  0.7778. 
B)  0.2222. 
C)  0.2347. 
D)  0.7653.

Question 10

A single numerical value used as an estimate of a population parameter is known as a

Accepted Answer

A)  parameter. 
B)  population parameter. 
C)  mean estimator. 
D)  point estimate. 
A)  parameter. 
B)  population parameter. 
C)  mean estimator. 
D)  point estimate.

Question 11

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. 
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 12

In a local university, 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study. The standard deviation of   , known as the standard error of the proportion is approximately

Accepted Answer

A)  0.5292. 
B)  5.2915. 
C)  0.0529. 
D)  52.915. 
A)  0.5292. 
B)  5.2915. 
C)  0.0529. 
D)  52.915.

Question 13

The standard deviation of a point estimator is called the

Accepted Answer

A)  standard deviation. 
B)  standard error. 
C)  point estimator. 
D)  variance of estimation. 
A)  standard deviation. 
B)  standard error. 
C)  point estimator. 
D)  variance of estimation.

Question 14

Parameters are

Accepted Answer

A)  numerical characteristics of a sample. 
B)  numerical characteristics of a population. 
C)  the averages taken from a sample. 
D)  numerical characteristics of either a sample or a population. 
A)  numerical characteristics of a sample. 
B)  numerical characteristics of a population. 
C)  the averages taken from a sample. 
D)  numerical characteristics of either a sample or a population.

Question 15

In a local university, 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study. The probability that the sample proportion (the proportion living in the dormitories) is at least 0.60 is

Accepted Answer

A)  0.0294. 
B)  0.9706. 
C)  0.0228. 
D)  0.9772. 
A)  0.0294. 
B)  0.9706. 
C)  0.0228. 
D)  0.9772.

Question 16

A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. 15
19
21
24
31
A point estimate of the mean is

Accepted Answer

A)  4. 
B)  22. 
C)  21. 
D)  110. 
A)  4. 
B)  22. 
C)  21. 
D)  110.

Question 17

The sample statistic s is the point estimator of

Accepted Answer

A)  μ. 
B)  σ. 
C)    . 
D)    . 
A)  μ. 
B)  σ. 
C)    . 
D)    .

Question 18

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

Accepted Answer

A)  probability density function of   . 
B)  sampling distribution of   . 
C)  same as   , since it considers all possible values of the sample proportion. 
D)  sampling distribution of   . 
A)  probability density function of   . 
B)  sampling distribution of   . 
C)  same as   , since it considers all possible values of the sample proportion. 
D)  sampling distribution of   .

Question 19

How many different samples of size 4 can be taken from a finite population of size 12?

Accepted Answer

A)  48 
B)  11,880 
C)  3 
D)  495 
A)  48 
B)  11,880 
C)  3 
D)  495

Question 20

Doubling the size of the sample will

Accepted Answer

A)  reduce the standard error of the mean to one-half its current value. 
B)  reduce the standard error of the mean to approximately 70% of its current value. 
C)  have no effect on the standard error of the mean. 
D)  double the standard error of the mean. 
A)  reduce the standard error of the mean to one-half its current value. 
B)  reduce the standard error of the mean to approximately 70% of its current value. 
C)  have no effect on the standard error of the mean. 
D)  double the standard error of the mean.

Exam 7: Sampling and Sampling Distributions

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

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

From a group of 12 students, we want to select a random sample of 5 students to serve on a university committee. How many combinations of random samples of 5 students can be selected?

Whenever the population has a normal probability distribution, the sampling distribution of is a normal probability distribution for

A random sample of 525 people was taken from a very large population. 225 of the people in the sample were female. The standard error of the proportion is

How many simple random samples of size 4 can be selected from a population of size 8?

A population consists of 500 elements. We want to draw a simple random sample of 50 elements from this population. On the first selection, the probability of an element being selected is

In a local university, 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study. The probability that the sample proportion (the proportion living in the dormitories) is between 0.69 and 0.72 is

A single numerical value used as an estimate of a population parameter is known as a

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

In a local university, 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study. The standard deviation of , known as the standard error of the proportion is approximately

The standard deviation of a point estimator is called the

Parameters are

In a local university, 70% of the students live in the dormitories. A random sample of 75 students is selected for a particular study. The probability that the sample proportion (the proportion living in the dormitories) is at least 0.60 is

A simple random sample of 5 observations from a population containing 400 elements was taken, and the following values were obtained. 15 19 21 24 31 A point estimate of the mean is

The sample statistic s is the point estimator of

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

How many different samples of size 4 can be taken from a finite population of size 12?

Doubling the size of the sample will

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

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Tests of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Simple Linear Regression

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Regression Analysis: Model Building

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