Question 1

According to the central limit theorem,the standard error for a sample mean becomes smaller as the sample size increases.

Accepted Answer

A) True 
 B)False  True

Question 2

A sample is selected from a population with a mean of µ = 40.If the sample mean is M = 45,which of the following combinations would make the sample mean an extreme,unrepresentative value for the population?

Accepted Answer

A) A small sample and a small population standard deviation 
B) A small sample and a large population standard deviation 
C) A large sample and a small population standard deviation 
D) A large sample and a large population standard deviation 
A) A small sample and a small population standard deviation 
B) A small sample and a large population standard deviation 
C) A large sample and a small population standard deviation 
D) A large sample and a large population standard deviation C

Question 3

A sample of n = 4 scores is selected from a population with μ = 40 with σ = 8,and the sample mean is M = 43.What is the standard error for the sample mean?

Accepted Answer

A) 8 
B) 4 
C) 3 
D) 2 
A) 8 
B) 4 
C) 3 
D) 2 B

Question 4

A random sample of n = 60 scores is selected from a population.Which of the following distributions will definitely be normal?

Accepted Answer

A) The scores in the sample will definitely form a normal distribution. 
B) The scores in the population definitely will form a normal distribution. 
C) The distribution of sample means will definitely form a normal distribution. 
D) None of the distributions (the sample, population, or distribution of sample means) will definitely be normal. 
A) The scores in the sample will definitely form a normal distribution. 
B) The scores in the population definitely will form a normal distribution. 
C) The distribution of sample means will definitely form a normal distribution. 
D) None of the distributions (the sample, population, or distribution of sample means) will definitely be normal.

Question 5

What happens to the standard error of M as sample size increases?

Accepted Answer

A) It increases. 
B) It decreases. 
C) It stays constant. 
D) The standard error does not change in a predictable manner when sample size increases. 
A) It increases. 
B) It decreases. 
C) It stays constant. 
D) The standard error does not change in a predictable manner when sample size increases.

Question 6

A sample of n = 4 scores has a standard error of 10 points.For the same population,what is the standard error for a sample of n = 16 scores?

Accepted Answer

A) 1 
B) 2.5 
C) 5 
D) 10 
A) 1 
B) 2.5 
C) 5 
D) 10

Question 7

Two samples probably will have different means even if they are both the same size and they are both selected from the same population.

Accepted Answer

A) True 
 B)False

Question 8

On average,a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with σ = 5.

Accepted Answer

A) True 
 B)False

Question 9

Samples of n = 4 scores are selected from a population.If the distribution of sample means has a standard error σ = 5 points,then the population from which the samples were obtained has a standard deviation of σ = 20.

Accepted Answer

A) True 
 B)False

Question 10

A sample of n = 16 scores is selected from a population with μ = 70 and σ = 8.It is very unlikely that the sample mean will be greater than 78.

Accepted Answer

A) True 
 B)False

Question 11

For a particular population,a sample of n = 4 scores has an expected value of 10.For the same population,a sample of n = 25 scores would have an expected value of _____.

Accepted Answer

A) 4 
B) 8 
C) 10 
D) 20 
A) 4 
B) 8 
C) 10 
D) 20

Question 12

A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20.On average,how much error is expected between the sample mean and the population mean?

Accepted Answer

A) 0.2 points 
B) 0.8 points 
C) 2 points 
D) 4 points 
A) 0.2 points 
B) 0.8 points 
C) 2 points 
D) 4 points

Question 13

If random samples,each with n = 4 scores,are selected from a normal population with µ = 80 and σ = 36,what is the standard error for the distribution of sample means?

Accepted Answer

A) 4 
B) 9 
C) 18 
D) 36 
A) 4 
B) 9 
C) 18 
D) 36

Question 14

A sample of n = 9 scores is selected from a population with μ = 50 and σ = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.

Accepted Answer

A) True 
 B)False

Question 15

A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20.On average,how much error would be expected between the sample mean and the population mean?

Accepted Answer

A) 20 points 
B) 5 points 
C) 4 points 
D) 1.25 points 
A) 20 points 
B) 5 points 
C) 4 points 
D) 1.25 points

Question 16

If samples are selected from a normal population,the distribution of sample means will also be normal.

Accepted Answer

A) True 
 B)False

Question 17

A sample is selected from a population with μ = 50 and σ = 12.If the sample mean of M = 56 produces a z-score of z = +1.00,then how many scores are in the sample?

Accepted Answer

A) 2 
B) 4 
C) 9 
D) 16 
A) 2 
B) 4 
C) 9 
D) 16

Question 18

A sample of n = 9 scores is selected from a population with µ = 40 and σ = 18.If the sample mean corresponds to z = -1.00,then the sample mean is M = 31.

Accepted Answer

A) True 
 B)False

Question 19

For a normal population with µ = 40 and σ = 10 which of the following samples is least likely to be obtained?

Accepted Answer

A) M ≤38 for a sample of n = 4 
B) M ≤36 for a sample of n = 4 
C) M ≤38 for a sample of n = 100 
D) M ≤36 for a sample of n = 100 
A) M ≤38 for a sample of n = 4 
B) M ≤36 for a sample of n = 4 
C) M ≤38 for a sample of n = 100 
D) M ≤36 for a sample of n = 100

Question 20

A sample is selected from a population with a mean of µ = 40.If the sample mean is M = 45,which of the following combinations would make the sample mean a good,representative value for the population?

Accepted Answer

A) A small sample and a small population standard deviation 
B) A small sample and a large population standard deviation 
C) A large sample and a small population standard deviation 
D) A large sample and a large population standard deviation 
A) A small sample and a small population standard deviation 
B) A small sample and a large population standard deviation 
C) A large sample and a small population standard deviation 
D) A large sample and a large population standard deviation

According to the central limit theorem,the standard error for a sample mean becomes smaller as the sample size increases.

A sample is selected from a population with a mean of µ = 40.If the sample mean is M = 45,which of the following combinations would make the sample mean an extreme,unrepresentative value for the population?

A sample of n = 4 scores is selected from a population with μ = 40 with σ = 8,and the sample mean is M = 43.What is the standard error for the sample mean?

A random sample of n = 60 scores is selected from a population.Which of the following distributions will definitely be normal?

What happens to the standard error of M as sample size increases?

A sample of n = 4 scores has a standard error of 10 points.For the same population,what is the standard error for a sample of n = 16 scores?

Two samples probably will have different means even if they are both the same size and they are both selected from the same population.

On average,a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with σ = 5.

Samples of n = 4 scores are selected from a population.If the distribution of sample means has a standard error σ = 5 points,then the population from which the samples were obtained has a standard deviation of σ = 20.

A sample of n = 16 scores is selected from a population with μ = 70 and σ = 8.It is very unlikely that the sample mean will be greater than 78.

For a particular population,a sample of n = 4 scores has an expected value of 10.For the same population,a sample of n = 25 scores would have an expected value of _____.

A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20.On average,how much error is expected between the sample mean and the population mean?

If random samples,each with n = 4 scores,are selected from a normal population with µ = 80 and σ = 36,what is the standard error for the distribution of sample means?

A sample of n = 9 scores is selected from a population with μ = 50 and σ = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.

A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20.On average,how much error would be expected between the sample mean and the population mean?

If samples are selected from a normal population,the distribution of sample means will also be normal.

A sample is selected from a population with μ = 50 and σ = 12.If the sample mean of M = 56 produces a z-score of z = +1.00,then how many scores are in the sample?

A sample of n = 9 scores is selected from a population with µ = 40 and σ = 18.If the sample mean corresponds to z = -1.00,then the sample mean is M = 31.

For a normal population with µ = 40 and σ = 10 which of the following samples is least likely to be obtained?

A sample is selected from a population with a mean of µ = 40.If the sample mean is M = 45,which of the following combinations would make the sample mean a good,representative value for the population?

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

z-Scores: Location of Scores and Standardized Distributions.

Probability.

Introduction to Hypothesis Testing.

Introduction to the t Statistic

The t Test for Two Independent Samples

The t Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

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Exam 7: Probability and Samples: The Distribution of Sample Means.

According to the central limit theorem,the standard error for a sample mean becomes smaller as the sample size increases.

A sample is selected from a population with a mean of µ = 40.If the sample mean is M = 45,which of the following combinations would make the sample mean an extreme,unrepresentative value for the population?

A sample of n = 4 scores is selected from a population with μ = 40 with σ = 8,and the sample mean is M = 43.What is the standard error for the sample mean?

A random sample of n = 60 scores is selected from a population.Which of the following distributions will definitely be normal?

What happens to the standard error of M as sample size increases?

A sample of n = 4 scores has a standard error of 10 points.For the same population,what is the standard error for a sample of n = 16 scores?

Two samples probably will have different means even if they are both the same size and they are both selected from the same population.

On average,a sample of n = 16 scores from a population with σ = 10 will provide a better estimate of the population mean than you would get with a sample of n = 16 scores from a population with σ = 5.

Samples of n = 4 scores are selected from a population.If the distribution of sample means has a standard error σ = 5 points,then the population from which the samples were obtained has a standard deviation of σ = 20.

A sample of n = 16 scores is selected from a population with μ = 70 and σ = 8.It is very unlikely that the sample mean will be greater than 78.

For a particular population,a sample of n = 4 scores has an expected value of 10.For the same population,a sample of n = 25 scores would have an expected value of _____.

A sample of n = 100 scores is selected from a population with μ = 80 with σ = 20.On average,how much error is expected between the sample mean and the population mean?

If random samples,each with n = 4 scores,are selected from a normal population with µ = 80 and σ = 36,what is the standard error for the distribution of sample means?

A sample of n = 9 scores is selected from a population with μ = 50 and σ = 12.The probability of obtaining a sample mean greater than 46 is p = 0.8413.

A sample of n = 16 scores is selected from a population with μ = 80 with σ = 20.On average,how much error would be expected between the sample mean and the population mean?

If samples are selected from a normal population,the distribution of sample means will also be normal.

A sample is selected from a population with μ = 50 and σ = 12.If the sample mean of M = 56 produces a z-score of z = +1.00,then how many scores are in the sample?

A sample of n = 9 scores is selected from a population with µ = 40 and σ = 18.If the sample mean corresponds to z = -1.00,then the sample mean is M = 31.

For a normal population with µ = 40 and σ = 10 which of the following samples is least likely to be obtained?

A sample is selected from a population with a mean of µ = 40.If the sample mean is M = 45,which of the following combinations would make the sample mean a good,representative value for the population?

Introduction to Statistics.

Frequency Distributions.

Central Tendency.

Variability.

z-Scores: Location of Scores and Standardized Distributions.

Probability.

Introduction to Hypothesis Testing.

Introduction to the t Statistic

The t Test for Two Independent Samples

The t Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures and Two-Factor Analysis of Variance

Correlation and Regression.

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters