Question 1

As the sample size increases, which of the following is TRUE about the level of confidence?

Accepted Answer

A)  The level of confidence has more of an impact on the width of the confidence interval. 
B)  The level of confidence has less of an impact on the width of the confidence interval. 
C)  The level of confidence has no impact on the width of the confidence interval. 
D)  The level of confidence does not change the width of the confidence interval. 
A)  The level of confidence has more of an impact on the width of the confidence interval. 
B)  The level of confidence has less of an impact on the width of the confidence interval. 
C)  The level of confidence has no impact on the width of the confidence interval. 
D)  The level of confidence does not change the width of the confidence interval.

Question 2

Calculate the lower and upper limits of the 95% confidence interval for a sample with a mean   = 28.59 and a population standard error of the mean   = 2.29.

Accepted Answer

A)  (24.10, 33.08) 
B)  (24.81, 32.37) 
C)  (22.68, 34.50) 
D)  (24.34, 32.84) 
A)  (24.10, 33.08) 
B)  (24.81, 32.37) 
C)  (22.68, 34.50) 
D)  (24.34, 32.84)

Question 3

The ______ the desired level of confidence, the ______ the confidence interval for the mean.

Accepted Answer

A)  higher; narrower 
B)  lower; narrower 
C)  lower; wider 
D)  lower; higher 
A)  higher; narrower 
B)  lower; narrower 
C)  lower; wider 
D)  lower; higher

Question 4

If a researcher wants a wider confidence interval, which of the following would be calculated?

Accepted Answer

A)  99% confidence interval 
B)  95% confidence interval 
C)  90% confidence interval 
D)  85% confidence interval 
A)  99% confidence interval 
B)  95% confidence interval 
C)  90% confidence interval 
D)  85% confidence interval

Question 5

If a researcher chooses a confidence level less than the 95%, which of the following occurs?

Accepted Answer

A)  a smaller confidence interval that contains the population mean 
B)  a larger confidence interval that contain the population mean 
C)  a loss of precision in estimating the sample mean 
D)  a loss of precision in estimating the population mean 
A)  a smaller confidence interval that contains the population mean 
B)  a larger confidence interval that contain the population mean 
C)  a loss of precision in estimating the sample mean 
D)  a loss of precision in estimating the population mean

Question 6

The ______ the desired width of a confidence interval, the ______ the necessary sample size.

Accepted Answer

A)  larger; larger 
B)  smaller; smaller 
C)  larger; smaller 
D)  smaller; larger 
A)  larger; larger 
B)  smaller; smaller 
C)  larger; smaller 
D)  smaller; larger

Question 7

For a variable with   = 25.00, how large should the sample be for a desired 95% confidence interval width of 15?

Accepted Answer

A)  7 
B)  11 
C)  43 
D)  121 
A)  7 
B)  11 
C)  43 
D)  121

Question 8

The larger the sample size, the ______ the confidence interval for the mean.

Accepted Answer

A)  narrower 
B)  wider 
C)  broader 
D)  more significant 
A)  narrower 
B)  wider 
C)  broader 
D)  more significant

Question 9

Use the formula   to calculate the lower and upper limits of the 99% confidence interval for a sample of N = 15 with a mean   = 7.50 and standard error of the mean   = .32.

Accepted Answer

A)  (6.81, 8.19) 
B)  (6.94, 8.06) 
C)  (6.55, 8.45) 
D)  (4.20, 10.80) 
A)  (6.81, 8.19) 
B)  (6.94, 8.06) 
C)  (6.55, 8.45) 
D)  (4.20, 10.80)

Question 10

Calculate the 95% confidence interval for a sample of N = 24 with a mean   = 102.97 and standard error of the mean   = 1.85.

Accepted Answer

A)  95% CI = 102.97 ± 3.83 
B)  95% CI = 102.97 ± 3.17 
C)  95% CI = 102.97 ± 5.19 
D)  95% CI = 102.97 ± 3.92 
A)  95% CI = 102.97 ± 3.83 
B)  95% CI = 102.97 ± 3.17 
C)  95% CI = 102.97 ± 5.19 
D)  95% CI = 102.97 ± 3.92

Question 11

What is the term for a single value used to estimate an unknown population parameter?

Accepted Answer

A)  point estimate 
B)  confidence interval 
C)  confidence limits 
D)  interval estimate 
A)  point estimate 
B)  confidence interval 
C)  confidence limits 
D)  interval estimate

Question 12

When the null hypothesis is NOT rejected, the results of the analysis may be described as ______.

Accepted Answer

A)  "insignificant" 
B)  "nonsignificant" 
C)  "significant" 
D)  "highly significant" 
A)  "insignificant" 
B)  "nonsignificant" 
C)  "significant" 
D)  "highly significant"

Question 13

Use the formula   to calculate the 90% confidence interval for a sample of N = 12 with a mean   = 4.00 and standard error of the mean   = .58.

Accepted Answer

A)  90% CI = 4.00 ± 1.04 
B)  90% CI = 4.00 ± 1.80 
C)  90% CI = 4.00 ± 2.38 
D)  90% CI = 4.00 ± 1.28 
A)  90% CI = 4.00 ± 1.04 
B)  90% CI = 4.00 ± 1.80 
C)  90% CI = 4.00 ± 2.38 
D)  90% CI = 4.00 ± 1.28

Question 14

Which of the following statements would be the correct way to state a conclusion regarding a 95% confidence interval?

Accepted Answer

A)  There is a .05 probability that the population mean is between 35,422 and 41,566. 
B)  There is a .95 probability that the interval of 35,422 to 41,566 contains the population mean. 
C)  There is a .95 probability that the population mean is between 35,422 and 41,566. 
D)  There is a .05 probability that the interval of 35,422 to 41,566 contains the population mean. 
A)  There is a .05 probability that the population mean is between 35,422 and 41,566. 
B)  There is a .95 probability that the interval of 35,422 to 41,566 contains the population mean. 
C)  There is a .95 probability that the population mean is between 35,422 and 41,566. 
D)  There is a .05 probability that the interval of 35,422 to 41,566 contains the population mean.

Question 15

If a researcher were to increase the sample size from 100 to 200, the confidence interval for the mean would be ______.

Accepted Answer

A)  widened 
B)  narrowed 
C)  unchanged 
D)  more normally distributed 
A)  widened 
B)  narrowed 
C)  unchanged 
D)  more normally distributed

Question 16

To be useful, a confidence interval must have a desired level of confidence less than 100%.

Accepted Answer

A) True 
 B)False

Question 17

The ______ the sample, the less confidence a research has that the sample mean estimates the unknown population mean μ, and the ______ the confidence interval around the sample mean.

Accepted Answer

A)  larger; smaller 
B)  larger; larger 
C)  smaller; larger 
D)  smaller; smaller 
A)  larger; smaller 
B)  larger; larger 
C)  smaller; larger 
D)  smaller; smaller

Question 18

Assuming the sample mean and standard deviation are the same for different combinations of levels of confidence and sample size, as the sample size ______, the level of confidence has ______ impact on the width of the confidence interval.

Accepted Answer

A)  decreases; the same 
B)  decreases; less 
C)  increases; more 
D)  increases; less 
A)  decreases; the same 
B)  decreases; less 
C)  increases; more 
D)  increases; less

Question 19

The concerns about hypothesis testing are NOT inherent in hypothesis tests, but rather due to ______.

Accepted Answer

A)  the sample size chosen by the researcher 
B)  how researchers interpret the results of statistical analyses 
C)  how researchers implement the tests 
D)  the confidence level chosen by the researcher 
A)  the sample size chosen by the researcher 
B)  how researchers interpret the results of statistical analyses 
C)  how researchers implement the tests 
D)  the confidence level chosen by the researcher

Question 20

As the sample size decreases, which of the following is TRUE about the level of confidence?

Accepted Answer

A)  The level of confidence has more of an impact on the width of the confidence interval. 
B)  The level of confidence has less of an impact on the width of the confidence interval. 
C)  The level of confidence has no impact on the width of the confidence interval. 
D)  The level of confidence does not change the width of the confidence interval. 
A)  The level of confidence has more of an impact on the width of the confidence interval. 
B)  The level of confidence has less of an impact on the width of the confidence interval. 
C)  The level of confidence has no impact on the width of the confidence interval. 
D)  The level of confidence does not change the width of the confidence interval.

As the sample size increases, which of the following is TRUE about the level of confidence?

Calculate the lower and upper limits of the 95% confidence interval for a sample with a mean = 28.59 and a population standard error of the mean = 2.29.

The the desired level of confidence, the the confidence interval for the mean.

If a researcher wants a wider confidence interval, which of the following would be calculated?

If a researcher chooses a confidence level less than the 95%, which of the following occurs?

The the desired width of a confidence interval, the the necessary sample size.

For a variable with = 25.00, how large should the sample be for a desired 95% confidence interval width of 15?

The larger the sample size, the ______ the confidence interval for the mean.

Use the formula to calculate the lower and upper limits of the 99% confidence interval for a sample of N = 15 with a mean = 7.50 and standard error of the mean = .32.

Calculate the 95% confidence interval for a sample of N = 24 with a mean = 102.97 and standard error of the mean = 1.85.

What is the term for a single value used to estimate an unknown population parameter?

When the null hypothesis is NOT rejected, the results of the analysis may be described as ______.

Use the formula to calculate the 90% confidence interval for a sample of N = 12 with a mean = 4.00 and standard error of the mean = .58.

Which of the following statements would be the correct way to state a conclusion regarding a 95% confidence interval?

If a researcher were to increase the sample size from 100 to 200, the confidence interval for the mean would be ______.

To be useful, a confidence interval must have a desired level of confidence less than 100%.

The the sample, the less confidence a research has that the sample mean estimates the unknown population mean μ, and the the confidence interval around the sample mean.

Assuming the sample mean and standard deviation are the same for different combinations of levels of confidence and sample size, as the sample size , the level of confidence has impact on the width of the confidence interval.

The concerns about hypothesis testing are NOT inherent in hypothesis tests, but rather due to ______.

As the sample size decreases, which of the following is TRUE about the level of confidence?

Introduction to Statistics

Examining Data: Tables and Figures

Measures of Central Tendency

Measures of Variability

Normal Distributions

Probability and Hypothesis Testing

Testing One Sample Mean

Testing the Difference Between Two Means

Errors in Hypothesis Testing, Statistical Power, and Effect Size

One-Way Analysis of Variance Anova

Two-Way Analysis of Variance Anova

Correlation

Linear Regression and Multiple Correlation

Chi-Square

Filters

Exam 8: Estimating the Mean of a Population

As the sample size increases, which of the following is TRUE about the level of confidence?

Calculate the lower and upper limits of the 95% confidence interval for a sample with a mean = 28.59 and a population standard error of the mean = 2.29.

The ______ the desired level of confidence, the ______ the confidence interval for the mean.

If a researcher wants a wider confidence interval, which of the following would be calculated?

If a researcher chooses a confidence level less than the 95%, which of the following occurs?

The ______ the desired width of a confidence interval, the ______ the necessary sample size.

For a variable with = 25.00, how large should the sample be for a desired 95% confidence interval width of 15?

The larger the sample size, the ______ the confidence interval for the mean.

Use the formula to calculate the lower and upper limits of the 99% confidence interval for a sample of N = 15 with a mean = 7.50 and standard error of the mean = .32.

Calculate the 95% confidence interval for a sample of N = 24 with a mean = 102.97 and standard error of the mean = 1.85.

What is the term for a single value used to estimate an unknown population parameter?

When the null hypothesis is NOT rejected, the results of the analysis may be described as ______.

Use the formula to calculate the 90% confidence interval for a sample of N = 12 with a mean = 4.00 and standard error of the mean = .58.

Which of the following statements would be the correct way to state a conclusion regarding a 95% confidence interval?

If a researcher were to increase the sample size from 100 to 200, the confidence interval for the mean would be ______.

To be useful, a confidence interval must have a desired level of confidence less than 100%.

The ______ the sample, the less confidence a research has that the sample mean estimates the unknown population mean μ, and the ______ the confidence interval around the sample mean.

Assuming the sample mean and standard deviation are the same for different combinations of levels of confidence and sample size, as the sample size ______, the level of confidence has ______ impact on the width of the confidence interval.

The concerns about hypothesis testing are NOT inherent in hypothesis tests, but rather due to ______.

As the sample size decreases, which of the following is TRUE about the level of confidence?

Introduction to Statistics

Examining Data: Tables and Figures

Measures of Central Tendency

Measures of Variability

Normal Distributions

Probability and Hypothesis Testing

Testing One Sample Mean

Testing the Difference Between Two Means

Errors in Hypothesis Testing, Statistical Power, and Effect Size

One-Way Analysis of Variance Anova

Two-Way Analysis of Variance Anova

Correlation

Linear Regression and Multiple Correlation

Chi-Square

Filters

The the desired level of confidence, the the confidence interval for the mean.

The the desired width of a confidence interval, the the necessary sample size.

The the sample, the less confidence a research has that the sample mean estimates the unknown population mean μ, and the the confidence interval around the sample mean.

Assuming the sample mean and standard deviation are the same for different combinations of levels of confidence and sample size, as the sample size , the level of confidence has impact on the width of the confidence interval.