Question 1

The sample mean is an unbiased estimator of the population mean only when we divide SS by df.

Accepted Answer

A) True 
 B)False

Question 2

In terms of characterizing samples,statistical theory was developed using a sampling strategy in which

Accepted Answer

A)  the order of selecting participants matters. 
B)  the same participant can be selected twice in the same sample. 
C)  participants are replaced after being sampled. 
D)  all of these. 
A)  the order of selecting participants matters. 
B)  the same participant can be selected twice in the same sample. 
C)  participants are replaced after being sampled. 
D)  all of these.

Question 3

Which type of sampling is most often applied by researchers in the behavioral sciences?

Accepted Answer

A)  theoretical sampling 
B)  normal sampling 
C)  experimental sampling 
D)  standard normal sampling 
A)  theoretical sampling 
B)  normal sampling 
C)  experimental sampling 
D)  standard normal sampling

Question 4

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean?
Researcher A: n = 25,$\mu$ = 5, $\sigma$= 7.
Researcher B: n = 25,$\mu$= 32, $\sigma$ = 7.

Accepted Answer

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

Question 5

Suppose that a researcher selects a sample of participants from a population.If the shape of the distribution in this population is positively skewed,then what is the shape of the sampling distribution of sample means?

Accepted Answer

A)  approximately positively skewed 
B)  approximately negatively skewed 
C)  approximately normally distributed 
D)  there is not enough information to answer this question because the population mean and variance are not given 
A)  approximately positively skewed 
B)  approximately negatively skewed 
C)  approximately normally distributed 
D)  there is not enough information to answer this question because the population mean and variance are not given

Question 6

Because the sampling distribution of sample means is normally distributed,we can use the z transformation formula to find probabilities.Which of the following gives the appropriate notation for this formula?

Accepted Answer

A) $ z=\frac{M-\mu_{M}}{\sigma_{M}} $ 
B) $ Z=\frac{M-\mu}{\sigma_{M}} $ 
C) $ z=\frac{M-\mu}{\frac{\sigma}{\sqrt{n}}} $ 
D)  all of these 
A) $ z=\frac{M-\mu_{M}}{\sigma_{M}} $ 
B) $ Z=\frac{M-\mu}{\sigma_{M}} $ 
C) $ z=\frac{M-\mu}{\frac{\sigma}{\sqrt{n}}} $ 
D)  all of these

Question 7

The sampling distribution of the mean has minimum variance.

Accepted Answer

A) True 
 B)False

Question 8

If data are reported as 12 ± 20 (M ± SEM),then the standard error of the mean is equal to 20.

Accepted Answer

A) True 
 B)False

Question 9

The sample variance is an unbiased estimator of the population variance when dividing SS by df.

Accepted Answer

A) True 
 B)False

Question 10

The central limit theorem states that the sample mean will equal the population mean on average.

Accepted Answer

A) True 
 B)False

Question 11

There are more possible samples that can be selected using theoretical sampling than using experimental sampling for any sample size greater than 1.

Accepted Answer

A) True 
 B)False

Question 12

A z transformation can be computed to locate sample means in a sampling distribution.

Accepted Answer

A) True 
 B)False

Question 13

What characteristic of the sample variance do researchers generally consider more important: unbiased estimator or minimum variance?

Accepted Answer

A)  minimum variance 
B)  unbiased estimator 
C)  Neither one; they are equally important. 
A)  minimum variance 
B)  unbiased estimator 
C)  Neither one; they are equally important.

Question 14

A sample mean is not always equal to a population mean.

Accepted Answer

A) True 
 B)False

Question 15

If a researcher selects a sample with a mean of 8,then the mean of the sampling distribution of possible sample means will also equal 8.

Accepted Answer

A) True 
 B)False

Question 16

A researcher selects two samples of 25 participants each.In the first sample,the population mean was 32 and the variance was 8.In the second sample,the population mean was 4 and the variance was 8.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. 
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 17

The sample variance is an unbiased estimator of the population mean when dividing SS by df.

Accepted Answer

A) True 
 B)False

Question 18

For the experimental sampling strategy,the order in which a participant is selected does not matter,and once selected,each participant is not replaced before sampling again.

Accepted Answer

A) True 
 B)False

Question 19

A researcher selects from a participant pool of four males and six females.He determines that the probability of selecting two male participants is p = .16.Based on this probability,what strategy did the researcher use to sample participants?

Accepted Answer

A)  sampling with replacement 
B)  sampling without replacement 
A)  sampling with replacement 
B)  sampling without replacement

Question 20

Each of the following statements are true,except that

Accepted Answer

A)  increasing the sample size will decrease standard error. 
B)  the larger the sample size, the larger the standard error. 
C)  the larger the standard deviation in the population, the larger the standard error. 
D)  the smaller the sample size, the larger the population size. 
A)  increasing the sample size will decrease standard error. 
B)  the larger the sample size, the larger the standard error. 
C)  the larger the standard deviation in the population, the larger the standard error. 
D)  the smaller the sample size, the larger the population size.

The sample mean is an unbiased estimator of the population mean only when we divide SS by df.

In terms of characterizing samples,statistical theory was developed using a sampling strategy in which

Which type of sampling is most often applied by researchers in the behavioral sciences?

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean? Researcher A: n = 25, $\mu$ = 5, $\sigma$ = 7. Researcher B: n = 25, $\mu$ = 32, $\sigma$ = 7.

Suppose that a researcher selects a sample of participants from a population.If the shape of the distribution in this population is positively skewed,then what is the shape of the sampling distribution of sample means?

Because the sampling distribution of sample means is normally distributed,we can use the z transformation formula to find probabilities.Which of the following gives the appropriate notation for this formula?

The sampling distribution of the mean has minimum variance.

If data are reported as 12 ± 20 (M ± SEM),then the standard error of the mean is equal to 20.

The sample variance is an unbiased estimator of the population variance when dividing SS by df.

The central limit theorem states that the sample mean will equal the population mean on average.

There are more possible samples that can be selected using theoretical sampling than using experimental sampling for any sample size greater than 1.

A z transformation can be computed to locate sample means in a sampling distribution.

What characteristic of the sample variance do researchers generally consider more important: unbiased estimator or minimum variance?

A sample mean is not always equal to a population mean.

If a researcher selects a sample with a mean of 8,then the mean of the sampling distribution of possible sample means will also equal 8.

A researcher selects two samples of 25 participants each.In the first sample,the population mean was 32 and the variance was 8.In the second sample,the population mean was 4 and the variance was 8.Which sample will be associated with a larger standard error of the mean?

The sample variance is an unbiased estimator of the population mean when dividing SS by df.

For the experimental sampling strategy,the order in which a participant is selected does not matter,and once selected,each participant is not replaced before sampling again.

A researcher selects from a participant pool of four males and six females.He determines that the probability of selecting two male participants is p = .16.Based on this probability,what strategy did the researcher use to sample participants?

Each of the following statements are true,except that

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Central Tendency

Summarizing Data: Variability

Probability

Probability, normal Distributions, and Z Scores

Hypothesis Testing: Significance,effect Size,and Power

Testing Means: One-Sample and Two-Independent-Sample T Tests

Testing Means: Truehe Related-Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated-Measuresdesign

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Chi-Square Tests

Nonparametric Tests: Tests for Ordinal Data

Filters

Exam 7: Probability and Sampling Distributions

The sample mean is an unbiased estimator of the population mean only when we divide SS by df.

In terms of characterizing samples,statistical theory was developed using a sampling strategy in which

Which type of sampling is most often applied by researchers in the behavioral sciences?

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean? Researcher A: n = 25, μ\muμ = 5, σ\sigmaσ = 7. Researcher B: n = 25, μ\muμ = 32, σ\sigmaσ = 7.

Suppose that a researcher selects a sample of participants from a population.If the shape of the distribution in this population is positively skewed,then what is the shape of the sampling distribution of sample means?

Because the sampling distribution of sample means is normally distributed,we can use the z transformation formula to find probabilities.Which of the following gives the appropriate notation for this formula?

The sampling distribution of the mean has minimum variance.

If data are reported as 12 ± 20 (M ± SEM),then the standard error of the mean is equal to 20.

The sample variance is an unbiased estimator of the population variance when dividing SS by df.

The central limit theorem states that the sample mean will equal the population mean on average.

There are more possible samples that can be selected using theoretical sampling than using experimental sampling for any sample size greater than 1.

A z transformation can be computed to locate sample means in a sampling distribution.

What characteristic of the sample variance do researchers generally consider more important: unbiased estimator or minimum variance?

A sample mean is not always equal to a population mean.

If a researcher selects a sample with a mean of 8,then the mean of the sampling distribution of possible sample means will also equal 8.

A researcher selects two samples of 25 participants each.In the first sample,the population mean was 32 and the variance was 8.In the second sample,the population mean was 4 and the variance was 8.Which sample will be associated with a larger standard error of the mean?

The sample variance is an unbiased estimator of the population mean when dividing SS by df.

For the experimental sampling strategy,the order in which a participant is selected does not matter,and once selected,each participant is not replaced before sampling again.

A researcher selects from a participant pool of four males and six females.He determines that the probability of selecting two male participants is p = .16.Based on this probability,what strategy did the researcher use to sample participants?

Each of the following statements are true,except that

Introduction to Statistics

Summarizing Data: Frequency Distributions in Tables and Graphs

Summarizing Data: Central Tendency

Summarizing Data: Variability

Probability

Probability, normal Distributions, and Z Scores

Hypothesis Testing: Significance,effect Size,and Power

Testing Means: One-Sample and Two-Independent-Sample T Tests

Testing Means: Truehe Related-Samples T Test

Estimation and Confidence Intervals

Analysis of Variance: One-Way Between-Subjects Design

Analysis of Variance: One-Way Within-Subjects Repeated-Measuresdesign

Analysis of Variance: Two-Way Between-Subjects Factorial Design

Correlation

Linear Regression and Multiple Regression

Nonparametric Tests: Chi-Square Tests

Nonparametric Tests: Tests for Ordinal Data

Filters

The following samples were selected by two researchers.Which is associated with a smaller standard error of the mean? Researcher A: n = 25, $\mu$ = 5, $\sigma$ = 7. Researcher B: n = 25, $\mu$ = 32, $\sigma$ = 7.