Question 1

Compare and contrast the terms standard deviation and standard error. What is their relationship, and what do they represent?

Accepted Answer

Standard deviation and standard error ar

Question 2

If a data set is reported as having a 95% confidence interval from 15 to 23, what does that mean?

Accepted Answer

A 95% confidence interval from 15 to 23

Question 3

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a standard deviation of 32 and a sample size of 81?
​

Accepted Answer

A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D 
A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D

Question 4

A quick and dirty approximation for the 95% confidence interval is to add and subtract the standard error from the sample mean.

Accepted Answer

A) True 
 B)False

Question 5

If a sample with a standard deviation of 16 has a standard error of approximately 4.62, what would the most likely sample size be?

Accepted Answer

A)  8 
B)  10 
C)  12 
D)  14 
A)  8 
B)  10 
C)  12 
D)  14

Question 6

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a standard deviation of 4 and a sample size of 64?
​

Accepted Answer

A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D 
A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D

Question 7

The mean and standard error bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 144 and a sample size of 4?
​

Accepted Answer

A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D 
A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D

Question 8

The standard error of the mean is the standard deviation of the sampling distribution for a population mean.

Accepted Answer

A) True 
 B)False

Question 9

If a sample has a standard deviation of 7 and a sample size of 4, it will have a standard error of 3.5.

Accepted Answer

A) True 
 B)False

Question 10

The term estimation describes the process of inferring a sample value from population data.

Accepted Answer

A) True 
 B)False

Question 11

What is the standard error for a sample of size 33 that has a standard deviation of 56?

Accepted Answer

A)  1.70 
B)  9.75 
C)  12.24 
D)  42.99 
A)  1.70 
B)  9.75 
C)  12.24 
D)  42.99

Question 12

Which of the following describes the width of the sampling distribution of the population mean?

Accepted Answer

A)  Sampling deviation. 
B)  Sampling error. 
C)  Standard deviation. 
D)  Standard error. 
A)  Sampling deviation. 
B)  Sampling error. 
C)  Standard deviation. 
D)  Standard error.

Question 13

The larger the sample size, the narrower the sampling distribution of the population mean.

Accepted Answer

A) True 
 B)False

Question 14

If a sample with a standard deviation of 16 has a confidence interval of approximately 3.2 < μ < 16.8, what would the most likely sample size be?

Accepted Answer

A)  20 
B)  22 
C)  24 
D)  26 
A)  20 
B)  22 
C)  24 
D)  26

Question 15

Error bars on a graph typically indicate the variance of the data values.

Accepted Answer

A) True 
 B)False

Question 16

The population of all sample means that could be obtained from a population is called which of the following?

Accepted Answer

A)  The estimation distribution of a population's mean. 
B)  The population distribution of a mean. 
C)  The sampling distribution of a population's mean. 
D)  The universe of probabilities. 
A)  The estimation distribution of a population's mean. 
B)  The population distribution of a mean. 
C)  The sampling distribution of a population's mean. 
D)  The universe of probabilities.

Question 17

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 100 and a sample size of 16?
​

Accepted Answer

A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D 
A)  Plot A 
B)  Plot B 
C)  Plot C 
D)  Plot D

Question 18

If a sample of size of 20 has a confidence interval of approximately 15.8 < μ < 38.2, what would the most likely standard deviation be?

Accepted Answer

A)  19 
B)  21 
C)  23 
D)  25 
A)  19 
B)  21 
C)  23 
D)  25

Question 19

Sketch a figure showing the mean and 95% confidence intervals for two data sets using filled black circles and error bars. For the first, the mean is 30, the standard deviation is 10, and the sample size is 16. For the second, the mean is 40, the standard deviation is 18, and the sample size is 36.

Accepted Answer

To sketch the figure, we will first plot

Question 20

For a sample with a mean of 16 and a standard error of 4, which of the following is the best approximation for the 95% confidence interval of the population mean?

Accepted Answer

A)  4 < μ < 16 
B)  8 < μ < 20 
C)  8 < μ < 24 
D)  12 < μ < 20 
A)  4 < μ < 16 
B)  8 < μ < 20 
C)  8 < μ < 24 
D)  12 < μ < 20

Exam 4: Estimating With Uncertainty

Compare and contrast the terms standard deviation and standard error. What is their relationship, and what do they represent?

If a data set is reported as having a 95% confidence interval from 15 to 23, what does that mean?

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a standard deviation of 32 and a sample size of 81? ​

A quick and dirty approximation for the 95% confidence interval is to add and subtract the standard error from the sample mean.

If a sample with a standard deviation of 16 has a standard error of approximately 4.62, what would the most likely sample size be?

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a standard deviation of 4 and a sample size of 64? ​

The mean and standard error bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 144 and a sample size of 4? ​

The standard error of the mean is the standard deviation of the sampling distribution for a population mean.

If a sample has a standard deviation of 7 and a sample size of 4, it will have a standard error of 3.5.

The term estimation describes the process of inferring a sample value from population data.

What is the standard error for a sample of size 33 that has a standard deviation of 56?

Which of the following describes the width of the sampling distribution of the population mean?

The larger the sample size, the narrower the sampling distribution of the population mean.

If a sample with a standard deviation of 16 has a confidence interval of approximately 3.2 < μ < 16.8, what would the most likely sample size be?

Error bars on a graph typically indicate the variance of the data values.

The population of all sample means that could be obtained from a population is called which of the following?

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 100 and a sample size of 16? ​

If a sample of size of 20 has a confidence interval of approximately 15.8 < μ < 38.2, what would the most likely standard deviation be?

Sketch a figure showing the mean and 95% confidence intervals for two data sets using filled black circles and error bars. For the first, the mean is 30, the standard deviation is 10, and the sample size is 16. For the second, the mean is 40, the standard deviation is 18, and the sample size is 36.

For a sample with a mean of 16 and a standard error of 4, which of the following is the best approximation for the 95% confidence interval of the population mean?

Statistics and Samples

Displaying Data

Describing Data

Probability

Hypothesis Testing

Analyzing Proportions

Fitting Probability Models to Frequency Data

Contingency Analysis: Associations Between

The Normal Distribution

Inference for a Normal Population

Comparing Two Means

Handling Violations of Assumptions

Designing Experiments

Comparing Means of More Than Two Groups

Correlation Between Numerical Variables

Regression

Multiple Explanatory Variables

Computer-Intensive Methods

Likelihood

Meta-Analysis: Combining Information From

Filters

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a standard deviation of 32 and a sample size of 81?

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a standard deviation of 4 and a sample size of 64?

The mean and standard error bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 144 and a sample size of 4?

The mean and 95% confidence interval bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 100 and a sample size of 16?