Question 1

Without knowing a thing about the population variance,we can expect a randomly selected sample variance (sample variance = SS/df)to equal the population variance on average.

Accepted Answer

A) True 
 B)False

Question 2

A researcher selects two samples of 64 participants each.In the first sample,the population mean was 10 and the variance was 16.In the second sample,the population mean was 25 and the variance was 9.Which sample will be associated with a larger standard error of the mean?

Accepted Answer

A)  Sample 1. 
B)  Sample 2. 
C)  None, both samples will have the same value for standard error. 
D)  There is not enough information to answer this question.

Question 3

A researcher selects a sample of size 6 from a population of size 10.How many possible samples of this size can be selected using theoretical sampling?

Accepted Answer

A)  100,000 
B)  1,000,000 
C)  10,000,000 
D)  over 60,000,000 samples

Question 4

The standard error of the mean is the standard deviation in a sampling distribution of sample means.

Accepted Answer

A) True 
 B)False

Question 5

A researcher selects a sample of 100 participants from a population with a mean of 38 and a standard deviation of 20.About 68% of the sample means in this sampling distribution should be between a sample mean of

Accepted Answer

A)  18 and 58. 
B)  34 and 38. 
C)  38 and 44. 
D)  36 and 40.

Question 6

A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5.What is the probability of selecting a sample mean that is at least equal to the population mean?

Accepted Answer

A)  .50 
B)  equal to the probability of selecting a sample mean that is at most equal to the population mean 
C)  .50 and equal to the probability of selecting a sample mean that is at most equal to the population mean 
D)  none of these

Question 7

What is the central limit theorem?

Accepted Answer

A)  It explains that sample means will vary minimally from the population mean. 
B)  It explains that a sampling distribution of possible sample means is approximately normally distributed, regardless of the shape of the distribution in the population. 
C)  It explains that if we select a sample at random, then on average we can expect the sample mean to equal the population mean. 
D)  All of these.

Question 8

A researcher wants to select a sample of 30 participants from one of two populations.In Population A,the standard deviation is 12.In Population B,the standard deviation is 4.In this example,selecting a sample from Population A will produce the smallest standard error.

Accepted Answer

A) True 
 B)False

Question 9

What values are distributed along the x-axis for a sampling distribution of the sample variance?

Accepted Answer

A)  scores 
B)  sample means 
C)  sample variances 
D)  sample means and sample variances

Question 10

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean?
Researcher A: n = 36,$\mu$ = 12, $\sigma$= 9
Researcher B: n = 36,$\mu$ = 12, $\sigma$ = 6

Accepted Answer

A)  Researcher A. 
B)  Researcher B. 
C)  They both have the same standard error.

Question 11

As sample size increases,standard error decreases.

Accepted Answer

A) True 
 B)False

Question 12

A distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population is called

Accepted Answer

A)  a conditional procedure. 
B)  a sampling distribution. 
C)  sampling without replacement. 
D)  random sampling.

Question 13

The sampling distribution of the mean and the sampling distribution of the variance (when dividing SS by n - 1)

Accepted Answer

A)  are both unbiased estimators. 
B)  both follow the central limit theorem. 
C)  are both associated with minimal variance. 
D)  all of these.

Question 14

If a researcher selects a sample of 64 participants from a population with a variance of 16,then the standard error of the mean will be 2.0.

Accepted Answer

A) True 
 B)False

Question 15

Researchers typically sample with replacement,although the development of statistical theory was based on the use of sampling without replacement.

Accepted Answer

A) True 
 B)False

Question 16

An article states that a sample of 40 participants took 12 ± 2.3 (M ± SEM)seconds to complete a cognitive assessment.Which value is the standard error of the mean?

Accepted Answer

A)  40 
B)  12 
C)  2.3 
D)  the standard error of the mean is not reported in the article

Question 17

How is the standard error of the mean typically reported in a graph?

Accepted Answer

A)  using error bars 
B)  by plotting sample means 
C)  by listing group names along the x-axis 
D)  it is never reported in a graph

Question 18

The sample variance is an unbiased estimator of the population variance

Accepted Answer

A)  when dividing SS by n. 
B)  when dividing SS by df. 
C)  when dividing SS by n - 1. 
D)  when dividing SS by df and when dividing SS by n - 1.

Question 19

As sample size increases,the standard error of the mean

Accepted Answer

A)  increases. 
B)  decreases. 
C)  can increase or decrease. 
D)  does not change.

Question 20

Which of the following allows researchers to use the standard normal distribution to estimate the probability of selecting sample means?

Accepted Answer

A)  the central limit theorem 
B)  the skewed distribution rule 
C)  the fact that sample means vary minimally from the population mean 
D)  the fact that increasing sample size will decrease standard error

Exam 7: Probability and Sampling Distributions

Without knowing a thing about the population variance,we can expect a randomly selected sample variance (sample variance = SS/df)to equal the population variance on average.

A researcher selects two samples of 64 participants each.In the first sample,the population mean was 10 and the variance was 16.In the second sample,the population mean was 25 and the variance was 9.Which sample will be associated with a larger standard error of the mean?

A researcher selects a sample of size 6 from a population of size 10.How many possible samples of this size can be selected using theoretical sampling?

The standard error of the mean is the standard deviation in a sampling distribution of sample means.

A researcher selects a sample of 100 participants from a population with a mean of 38 and a standard deviation of 20.About 68% of the sample means in this sampling distribution should be between a sample mean of

A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5.What is the probability of selecting a sample mean that is at least equal to the population mean?

What is the central limit theorem?

A researcher wants to select a sample of 30 participants from one of two populations.In Population A,the standard deviation is 12.In Population B,the standard deviation is 4.In this example,selecting a sample from Population A will produce the smallest standard error.

What values are distributed along the x-axis for a sampling distribution of the sample variance?

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean? Researcher A: n = 36, $\mu$ = 12, $\sigma$ = 9 Researcher B: n = 36, $\mu$ = 12, $\sigma$ = 6

As sample size increases,standard error decreases.

A distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population is called

The sampling distribution of the mean and the sampling distribution of the variance (when dividing SS by n - 1)

If a researcher selects a sample of 64 participants from a population with a variance of 16,then the standard error of the mean will be 2.0.

Researchers typically sample with replacement,although the development of statistical theory was based on the use of sampling without replacement.

An article states that a sample of 40 participants took 12 ± 2.3 (M ± SEM) seconds to complete a cognitive assessment.Which value is the standard error of the mean?

How is the standard error of the mean typically reported in a graph?

The sample variance is an unbiased estimator of the population variance

As sample size increases,the standard error of the mean

Which of the following allows researchers to use the standard normal distribution to estimate the probability of selecting sample means?

Exam 7: Probability and Sampling Distributions

Without knowing a thing about the population variance,we can expect a randomly selected sample variance (sample variance = SS/df)to equal the population variance on average.

A researcher selects two samples of 64 participants each.In the first sample,the population mean was 10 and the variance was 16.In the second sample,the population mean was 25 and the variance was 9.Which sample will be associated with a larger standard error of the mean?

A researcher selects a sample of size 6 from a population of size 10.How many possible samples of this size can be selected using theoretical sampling?

The standard error of the mean is the standard deviation in a sampling distribution of sample means.

A researcher selects a sample of 100 participants from a population with a mean of 38 and a standard deviation of 20.About 68% of the sample means in this sampling distribution should be between a sample mean of

A researcher selects a sample of 49 participants from a population with a mean of 12 and a standard deviation of 3.5.What is the probability of selecting a sample mean that is at least equal to the population mean?

What is the central limit theorem?

A researcher wants to select a sample of 30 participants from one of two populations.In Population A,the standard deviation is 12.In Population B,the standard deviation is 4.In this example,selecting a sample from Population A will produce the smallest standard error.

What values are distributed along the x-axis for a sampling distribution of the sample variance?

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean? Researcher A: n = 36, μ\muμ = 12, σ\sigmaσ = 9 Researcher B: n = 36, μ\muμ = 12, σ\sigmaσ = 6

As sample size increases,standard error decreases.

A distribution of all sample means or sample variances that could be obtained in samples of a given size from the same population is called

The sampling distribution of the mean and the sampling distribution of the variance (when dividing SS by n - 1)

If a researcher selects a sample of 64 participants from a population with a variance of 16,then the standard error of the mean will be 2.0.

Researchers typically sample with replacement,although the development of statistical theory was based on the use of sampling without replacement.

An article states that a sample of 40 participants took 12 ± 2.3 (M ± SEM) seconds to complete a cognitive assessment.Which value is the standard error of the mean?

How is the standard error of the mean typically reported in a graph?

The sample variance is an unbiased estimator of the population variance

As sample size increases,the standard error of the mean

Which of the following allows researchers to use the standard normal distribution to estimate the probability of selecting sample means?

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean? Researcher A: n = 36, $\mu$ = 12, $\sigma$ = 9 Researcher B: n = 36, $\mu$ = 12, $\sigma$ = 6