Question 1

It is possible for the standard deviation and standard error values in a data set with multiple values to be equal.

Accepted Answer

A) True 
 B)False  False

Question 2

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 64 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 A

Question 3

If a sample with 40 values has a standard deviation of 16, what would the standard error be?

Accepted Answer

A)  2.5 
B)  5.0 
C)  7.5 
D)  10.0 
A)  2.5 
B)  5.0 
C)  7.5 
D)  10.0 A

Question 4

Sketch a figure showing the mean and standard error values for two data sets using filled black circles and error bars. For the first, the mean is 25, the standard deviation is 9, and the sample size is 9. For the second, the mean is 20, the standard deviation is 35, and the sample size is 25.

Accepted Answer

To sketch the figure, we will first draw

Question 5

The standard deviation measures the spread of the data values, whereas the standard error measures the uncertainty in our estimate of the population mean.

Accepted Answer

A) True 
 B)False

Question 6

If a sample with 16 values has a standard deviation of 47, what would the standard error be?

Accepted Answer

A)  2.29 
B)  2.94 
C)  11.75 
D)  11.98 
A)  2.29 
B)  2.94 
C)  11.75 
D)  11.98

Question 7

The sampling distribution of an estimate is the mean and variance of the sample.

Accepted Answer

A) True 
 B)False

Question 8

The 95% confidence interval is best thought of as the region within which there is a 95% probability that the population mean lies.

Accepted Answer

A) True 
 B)False

Question 9

Describe the relationship between a population and a sample with respect to how the word "estimation" is used.

Accepted Answer

The relationship between a population an

Question 10

What is the standard error for a sample of size 20 that has a standard deviation of 40?

Accepted Answer

A)  1.00 
B)  3.16 
C)  4.47 
D)  8.94 
A)  1.00 
B)  3.16 
C)  4.47 
D)  8.94

Question 11

If a sample with a standard deviation of 20 has a confidence interval of approximately 11.14 < μ < 24.86, what would the most likely sample size be?

Accepted Answer

A)  34 
B)  36 
C)  38 
D)  10 
A)  34 
B)  36 
C)  38 
D)  10

Question 12

The symbol σ represents the population standard deviation.

Accepted Answer

A) True 
 B)False

Question 13

Which of the following best describes a confidence interval?

Accepted Answer

A)  A range of values around a population parameter that is likely to contain the sample estimate. 
B)  A range of values around a sample estimate that is likely to contain the population parameter. 
C)  The width of the region within which the population mean lies. 
D)  The width of the region within which the sample mean lies. 
A)  A range of values around a population parameter that is likely to contain the sample estimate. 
B)  A range of values around a sample estimate that is likely to contain the population parameter. 
C)  The width of the region within which the population mean lies. 
D)  The width of the region within which the sample mean lies.

Question 14

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 81 and a sample size of 36?
​

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 15

If a sample with a standard deviation of 25 has a standard error of approximately 5.6, what would the most likely sample size be?

Accepted Answer

A)  14 
B)  16 
C)  18 
D)  20 
A)  14 
B)  16 
C)  18 
D)  20

Question 16

The symbol Ȳ represents the population mean.

Accepted Answer

A) True 
 B)False

Question 17

The 95% confidence interval is best thought of as the region within which we are 95% confident the population mean lies.

Accepted Answer

A) True 
 B)False

Question 18

If a sample of size of 30 has a confidence interval of approximately 10.58 < μ < 16.42, what would the most likely standard deviation be?

Accepted Answer

A)  6 
B)  7 
C)  8 
D)  9 
A)  6 
B)  7 
C)  8 
D)  9

Question 19

It is possible for the variance and standard error values in a data set with multiple values to be equal.

Accepted Answer

A) True 
 B)False

Question 20

Which of the following is the best statement regarding the confidence interval for a mean with a lower limit of 20 and an upper limit of 30?

Accepted Answer

A)  We are 95% confident that the population mean lies between 20 and 30. 
B)  We are 95% confident that the sample mean lies between 20 and 30. 
C)  There is a 95% probability that the population mean lies between 20 and 30. 
D)  There is a 95% probability that the sample mean lies between 20 and 30. 
A)  We are 95% confident that the population mean lies between 20 and 30. 
B)  We are 95% confident that the sample mean lies between 20 and 30. 
C)  There is a 95% probability that the population mean lies between 20 and 30. 
D)  There is a 95% probability that the sample mean lies between 20 and 30.

Exam 4: Estimating With Uncertainty

It is possible for the standard deviation and standard error values in a data set with multiple values to be equal.

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 64 and a sample size of 16? ​

If a sample with 40 values has a standard deviation of 16, what would the standard error be?

Sketch a figure showing the mean and standard error values for two data sets using filled black circles and error bars. For the first, the mean is 25, the standard deviation is 9, and the sample size is 9. For the second, the mean is 20, the standard deviation is 35, and the sample size is 25.

The standard deviation measures the spread of the data values, whereas the standard error measures the uncertainty in our estimate of the population mean.

If a sample with 16 values has a standard deviation of 47, what would the standard error be?

The sampling distribution of an estimate is the mean and variance of the sample.

The 95% confidence interval is best thought of as the region within which there is a 95% probability that the population mean lies.

Describe the relationship between a population and a sample with respect to how the word "estimation" is used.

What is the standard error for a sample of size 20 that has a standard deviation of 40?

If a sample with a standard deviation of 20 has a confidence interval of approximately 11.14 < μ < 24.86, what would the most likely sample size be?

The symbol σ represents the population standard deviation.

Which of the following best describes a confidence interval?

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 81 and a sample size of 36? ​

If a sample with a standard deviation of 25 has a standard error of approximately 5.6, what would the most likely sample size be?

The symbol Ȳ represents the population mean.

The 95% confidence interval is best thought of as the region within which we are 95% confident the population mean lies.

If a sample of size of 30 has a confidence interval of approximately 10.58 < μ < 16.42, what would the most likely standard deviation be?

It is possible for the variance and standard error values in a data set with multiple values to be equal.

Which of the following is the best statement regarding the confidence interval for a mean with a lower limit of 20 and an upper limit of 30?

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 standard error bars for four data sets are shown in the figure. Which of the data sets most likely has a variance of 64 and a sample size of 16?

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 81 and a sample size of 36?