Question 1

Calculate the 95% confidence interval for a sample of N = 15 with a mean   = 3.50 and standard error of the mean   = .21.

Accepted Answer

A)  95% CI = 3.50 ± .45 
B)  95% CI = 3.50 ± .37 
C)  95% CI = 3.50 ± .63 
D)  95% CI = 3.50 ± 2.36 
A)  95% CI = 3.50 ± .45 
B)  95% CI = 3.50 ± .37 
C)  95% CI = 3.50 ± .63 
D)  95% CI = 3.50 ± 2.36

Question 2

Use the formula   to calculate the 95% confidence interval for a sample with a mean   = 7.00 and a population standard error of the mean   = .50.

Accepted Answer

A)  95% CI = 7.00 ± .98 
B)  95% CI = 7.00 ± .83 
C)  95% CI = 7.00 ± 1.29 
D)  95% CI = 7.00 ± 2.46 
A)  95% CI = 7.00 ± .98 
B)  95% CI = 7.00 ± .83 
C)  95% CI = 7.00 ± 1.29 
D)  95% CI = 7.00 ± 2.46

Question 3

For a variable with   = 15.00, how large should the sample be for a desired 95% confidence interval width of 6?

Accepted Answer

A)  10 
B)  24 
C)  96 
D)  576 
A)  10 
B)  24 
C)  96 
D)  576

Question 4

Calculate the 95% confidence interval for a sample of N = 28 with a mean   = 15.86 and a population standard deviation (σ) = 10.00.

Accepted Answer

A)  95% CI = 15.86 ± 3.12 
B)  95% CI = 15.86 ± 3.70 
C)  95% CI = 15.86 ± 4.88 
D)  95% CI = 15.86 ± 3.85 
A)  95% CI = 15.86 ± 3.12 
B)  95% CI = 15.86 ± 3.70 
C)  95% CI = 15.86 ± 4.88 
D)  95% CI = 15.86 ± 3.85

Question 5

Calculate the 95% confidence interval for a sample of N = 25 with a mean   = 3.74 and a population standard deviation (σ) = 6.00.

Accepted Answer

A)  95% CI = 3.74 ± 2.35 
B)  95% CI = 3.74 ± 1.98 
C)  95% CI = 3.74 ± 3.10 
D)  95% CI = 3.74 ± 3.16 
A)  95% CI = 3.74 ± 2.35 
B)  95% CI = 3.74 ± 1.98 
C)  95% CI = 3.74 ± 3.10 
D)  95% CI = 3.74 ± 3.16

Question 6

Which of the following confidence intervals has the most precision?

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 7

Calculate the 95% confidence interval for a sample of N = 25 with a mean   = 4.06 and standard error of the mean   = .27.

Accepted Answer

A)  95% CI = 4.06 ± .56 
B)  95% CI = 4.06 ± .46 
C)  95% CI = 4.06 ± .76 
D)  95% CI = 4.06 ± 2.33 
A)  95% CI = 4.06 ± .56 
B)  95% CI = 4.06 ± .46 
C)  95% CI = 4.06 ± .76 
D)  95% CI = 4.06 ± 2.33

Question 8

Calculate the 95% confidence interval for a sample of N = 24 with a mean   = 102.97 and standard deviation (s) = 9.05.

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 9

A sample of size ______ would have the narrowest confidence interval for the mean.

Accepted Answer

A)  N = 140 
B)  N = 200 
C)  N = 300 
D)  N = 425 
A)  N = 140 
B)  N = 200 
C)  N = 300 
D)  N = 425

Question 10

Calculate the 95% confidence interval for a sample with a mean   = 249.60 and a population standard error of the mean   = 9.13.

Accepted Answer

A)  95% CI = 249.60 ± 17.89 
B)  95% CI = 249.60 ± 15.06 
C)  95% CI = 249.60 ± 23.56 
D)  95% CI = 249.60 ± 11.09 
A)  95% CI = 249.60 ± 17.89 
B)  95% CI = 249.60 ± 15.06 
C)  95% CI = 249.60 ± 23.56 
D)  95% CI = 249.60 ± 11.09

Question 11

Calculate the 90% confidence interval for a sample of N = 25 with a mean   = 2.75 and standard error of the mean   = .19.

Accepted Answer

A)  90% CI = 2.75 ± .33 
B)  90% CI = 2.75 ± .53 
C)  90% CI = 2.75 ± 1.90 
D)  90% CI = 2.75 ± .39 
A)  90% CI = 2.75 ± .33 
B)  90% CI = 2.75 ± .53 
C)  90% CI = 2.75 ± 1.90 
D)  90% CI = 2.75 ± .39

Question 12

Confidence intervals, like inferential statistics such as the t-statistic, are affected by which of the following?

Accepted Answer

A)  normal curve 
B)  sample size 
C)  effect size 
D)  point estimate 
A)  normal curve 
B)  sample size 
C)  effect size 
D)  point estimate

Question 13

Calculate the lower and upper limits of the 95% confidence interval for a sample with a mean   = 12.67 and a population standard error of the mean   = .98.

Accepted Answer

A)  (11.06, 14.28) 
B)  (10.75, 14.59) 
C)  (10.39, 14.95) 
D)  (10.15, 15.19) 
A)  (11.06, 14.28) 
B)  (10.75, 14.59) 
C)  (10.39, 14.95) 
D)  (10.15, 15.19)

Question 14

What is the term for a range or interval of values that has a stated probability of containing 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 15

For a variable with   = 5.81, how large should the sample be for a desired 95% confidence interval width of 2?

Accepted Answer

A)  11 
B)  32 
C)  130 
D)  1024 
A)  11 
B)  32 
C)  130 
D)  1024

Question 16

A confidence interval is defined as a range of values likely containing a known population parameter.

Accepted Answer

A) True 
 B)False

Question 17

Calculate the 95% confidence interval for a sample of N = 29 with a mean   = 52.49 and standard deviation (s) = 11.58.

Accepted Answer

A)  95% CI = 52.49 ± 4.40 
B)  95% CI = 52.49 ± 3.66 
C)  95% CI = 52.49 ± 5.94 
D)  95% CI = 52.49 ± 4.20 
A)  95% CI = 52.49 ± 4.40 
B)  95% CI = 52.49 ± 3.66 
C)  95% CI = 52.49 ± 5.94 
D)  95% CI = 52.49 ± 4.20

Question 18

Calculate the 99% confidence interval for a sample of N = 19 with a mean   = 27.18 and standard error of the mean   = 2.37.

Accepted Answer

A)  99% CI = 27.18 ± 4.98 
B)  99% CI = 27.18 ± 4.11 
C)  99% CI = 27.18 ± 6.82 
D)  99% CI = 27.18 ± 5.25 
A)  99% CI = 27.18 ± 4.98 
B)  99% CI = 27.18 ± 4.11 
C)  99% CI = 27.18 ± 6.82 
D)  99% CI = 27.18 ± 5.25

Question 19

Calculate the lower and upper limits of the 90% confidence interval for a sample of N = 29 with a mean   = 137.98 and standard error of the mean   = 4.98.

Accepted Answer

A)  (129.51, 146.45) 
B)  (124.22, 151.74) 
C)  (131.30, 144.66) 
D)  (127.78, 148.18) 
A)  (129.51, 146.45) 
B)  (124.22, 151.74) 
C)  (131.30, 144.66) 
D)  (127.78, 148.18)

Question 20

Use the formula   to calculate the 95% confidence interval for a sample of N = 22 with a mean   = 9.51 and standard error of the mean   = 1.25.

Accepted Answer

A)  95% CI = 9.51 ± 2.15 
B)  95% CI = 9.51 ± 3.52 
C)  95% CI = 9.51 ± 2.59 
D)  95% CI = 9.51 ± 2.60 
A)  95% CI = 9.51 ± 2.15 
B)  95% CI = 9.51 ± 3.52 
C)  95% CI = 9.51 ± 2.59 
D)  95% CI = 9.51 ± 2.60

Calculate the 95% confidence interval for a sample of N = 15 with a mean = 3.50 and standard error of the mean = .21.

Use the formula to calculate the 95% confidence interval for a sample with a mean = 7.00 and a population standard error of the mean = .50.

For a variable with = 15.00, how large should the sample be for a desired 95% confidence interval width of 6?

Calculate the 95% confidence interval for a sample of N = 28 with a mean = 15.86 and a population standard deviation (σ) = 10.00.

Calculate the 95% confidence interval for a sample of N = 25 with a mean = 3.74 and a population standard deviation (σ) = 6.00.

Which of the following confidence intervals has the most precision?

Calculate the 95% confidence interval for a sample of N = 25 with a mean = 4.06 and standard error of the mean = .27.

Calculate the 95% confidence interval for a sample of N = 24 with a mean = 102.97 and standard deviation (s) = 9.05.

A sample of size ______ would have the narrowest confidence interval for the mean.

Calculate the 95% confidence interval for a sample with a mean = 249.60 and a population standard error of the mean = 9.13.

Calculate the 90% confidence interval for a sample of N = 25 with a mean = 2.75 and standard error of the mean = .19.

Confidence intervals, like inferential statistics such as the t-statistic, are affected by which of the following?

Calculate the lower and upper limits of the 95% confidence interval for a sample with a mean = 12.67 and a population standard error of the mean = .98.

What is the term for a range or interval of values that has a stated probability of containing an unknown population parameter?

For a variable with = 5.81, how large should the sample be for a desired 95% confidence interval width of 2?

A confidence interval is defined as a range of values likely containing a known population parameter.

Calculate the 95% confidence interval for a sample of N = 29 with a mean = 52.49 and standard deviation (s) = 11.58.

Calculate the 99% confidence interval for a sample of N = 19 with a mean = 27.18 and standard error of the mean = 2.37.

Calculate the lower and upper limits of the 90% confidence interval for a sample of N = 29 with a mean = 137.98 and standard error of the mean = 4.98.

Use the formula to calculate the 95% confidence interval for a sample of N = 22 with a mean = 9.51 and standard error of the mean = 1.25.

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

Calculate the 95% confidence interval for a sample of N = 15 with a mean = 3.50 and standard error of the mean = .21.

Use the formula to calculate the 95% confidence interval for a sample with a mean = 7.00 and a population standard error of the mean = .50.

For a variable with = 15.00, how large should the sample be for a desired 95% confidence interval width of 6?

Calculate the 95% confidence interval for a sample of N = 28 with a mean = 15.86 and a population standard deviation (σ) = 10.00.

Calculate the 95% confidence interval for a sample of N = 25 with a mean = 3.74 and a population standard deviation (σ) = 6.00.

Which of the following confidence intervals has the most precision?

Calculate the 95% confidence interval for a sample of N = 25 with a mean = 4.06 and standard error of the mean = .27.

Calculate the 95% confidence interval for a sample of N = 24 with a mean = 102.97 and standard deviation (s) = 9.05.

A sample of size ______ would have the narrowest confidence interval for the mean.

Calculate the 95% confidence interval for a sample with a mean = 249.60 and a population standard error of the mean = 9.13.

Calculate the 90% confidence interval for a sample of N = 25 with a mean = 2.75 and standard error of the mean = .19.

Confidence intervals, like inferential statistics such as the t-statistic, are affected by which of the following?

Calculate the lower and upper limits of the 95% confidence interval for a sample with a mean = 12.67 and a population standard error of the mean = .98.

What is the term for a range or interval of values that has a stated probability of containing an unknown population parameter?

For a variable with = 5.81, how large should the sample be for a desired 95% confidence interval width of 2?

A confidence interval is defined as a range of values likely containing a known population parameter.

Calculate the 95% confidence interval for a sample of N = 29 with a mean = 52.49 and standard deviation (s) = 11.58.

Calculate the 99% confidence interval for a sample of N = 19 with a mean = 27.18 and standard error of the mean = 2.37.

Calculate the lower and upper limits of the 90% confidence interval for a sample of N = 29 with a mean = 137.98 and standard error of the mean = 4.98.

Use the formula to calculate the 95% confidence interval for a sample of N = 22 with a mean = 9.51 and standard error of the mean = 1.25.

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