Ch7 Exam Questions Point Estimation And Confidence Intervals - Answer Key + Test Bank | Statistics for Criminology and Criminal Justice 5e by Bachman by Ronet D. Bachman. DOCX document preview.
Chapter 7: Point Estimation and Confidence Intervals
Test Bank
Multiple Choice
1. The estimates of the mean and proportion that are obtained from a sample are referred to as ______ of the same values in the population.
a. sample statistics
b. point estimates
c. population parameters
d. confidence levels
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Knowledge
Answer Location: Introduction
Difficulty Level: Easy
2. A confidence interval is ______.
a. the lower and upper boundaries of the confidence interval
b. a statistical interval around a point estimate (the mean) that provides a specified level of confidences for the true population parameter
c. a range of numbers that tells us the probability that our estimate is wrong
d. range of values for a variable that has a stated probability of containing an unknown population mean
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Knowledge
Answer Location: Making inferences form point estimates: Confidence intervals
Difficulty Level: Easy
3. A confidence interval is equal to 
a. the variance
b. mean deviation
c. margin of error
d. alpha
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Comprehension
Answer Location: Making inferences form point estimates: Confidence intervals
Difficulty Level: Easy
4. If a research reports “The margin of sampling error is 
8 points at the 95% confidence level”, this means that ______.
a. they are 95% confident that their exact point estimate is correct
b. they are 95% confident that the true population parameter is included in the intervals of 
8 points
c. they are 95% confident that the true population parameter is included in the intervals of 
4 points
d. they are 95% they are correct
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Comprehension
Answer Location: Making inferences form point estimates: Confidence intervals
Difficulty Level: Easy
5. As sample sizes ______, the sample means of the sampling distribution cluster more tightly around the population mean.
a. increases
b. decreases
c. stays the same
d. changes
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Properties of good estimates
Difficulty Level: Easy
6. For a sample of 29 individuals, we would rely on the ______.
a. z-distribution
b. central limit theorem
c. t-distribution
d. confidence limits
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Knowledge
Answer Location: Making inferences form point estimates: Confidence intervals
Difficulty Level: Medium
7. For a sample of 30 individuals, we would rely on the ______.
a. z-distribution
b. square root of the variance
c. t-distribution
d. confidence limits
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Knowledge
Answer Location: Making inferences form point estimates: Confidence intervals
Difficulty Level: Medium
8. In the equation for the standard deviation of the sampling distribution, 
, where s is the standard deviation and n is the sample size, how could one get more precise estimates that differ less from one another?
a. increase s to expand the distribution
b. increase the sample size (n) because as the denominator increase the resulting value decreases
c. decrease the sample size (n) because as the denominator decreases the resulting value decreases
d. collect data that are not skewed
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Comprehension
Answer Location: Properties of good estimates
Difficulty Level: Medium
9. In the equation for confidence intervals, 
, 
corresponds to ______.
a. the alpha we are using (the level of confidence)
b. the standard deviation of our sample
c. the variance of our sample
d. the lower limit of our confidence interval
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Comprehension
Answer Location: Estimating a population mean from large samples
Difficulty Level: Medium
10. A confidence level of 90% is what size alpha?
a. .001
b. .01
c. .05
d. .10
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Estimating a population mean from large samples
Difficulty Level: Easy
11. A confidence level of 95% is what size alpha?
a. .001
b. .01
c. .05
d. .10
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Estimating a population mean from large samples
Difficulty Level: Easy
12. A z-score of 2.58 corresponds to what size alpha?
a. .001
b. .01
c. .05
d. .10
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Estimating a population mean from large samples
Difficulty Level: Easy
13. A z-score of 1.95 corresponds to what size alpha?
a. .001
b. .01
c. .05
d. .10
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Estimating a population mean from large samples
Difficulty Level: Easy
14. As compared to a z-distribution, a t-distribution is ______.
a. flatter
b. more precise
c. positively skewed
d. negatively skewed
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Comprehension
Answer Location: Estimating confidence intervals for a mean with a small sample
Difficulty Level: Medium
15. Which equation is used to find the degrees of freedom in a sample of 29 individuals?
a. 
b. 
3
c. 
d. 
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Knowledge
Answer Location: Estimating confidence intervals for a mean with a small sample
Difficulty Level: Easy
16. At what sample size are the t- and z-distributions identical?
a. 120
b. 100
c. 30
d. 50
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Knowledge
Answer Location: Estimating confidence intervals for a mean with a small sample
Difficulty Level: Medium
17. ______ are the lower and upper boundaries of the confidence interval.
a. Point estimates
b. Population estimates
c. Confidence limits
d. Confidence levels
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Case study: Work-role overload in policing
Difficulty Level: Easy
18. The following equation, 
, is used to compute ______.
a. standard error of a small sample
b. standard error of the proportion
c. variance of the proportion
d. confidence limits of proportion
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Knowledge
Answer Location: Estimating confidence intervals for proportions and percentages with a large sample
Difficulty Level: Easy
True/False
19. Point estimates are the estimate of the mean and proportion that we obtained from a sample.
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Knowledge
Answer Location: Introduction
Difficulty Level: Easy
20. The 99% confidence interval will be wider than the 95% confidence interval.
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Knowledge
Answer Location: Making inferences from point estimates: Confidence intervals
Difficulty Level: Medium
21. The 95% confidence interval will be wider than the 99% confidence interval.
Learning Objective: 7.1. State the difference between a point estimate and a confidence interval.
Cognitive Domain: Knowledge
Answer Location: Making inferences from point estimates: Confidence intervals
Difficulty Level: Medium
22. When calculating the confidence interval for a small sample the t-distribution is utilized to obtain the critical value.
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Knowledge
Answer Location: Estimating confidence intervals for a mean with a small sample
Difficulty Level: Easy
23. A researcher will have more confidence that the sample mean estimates the unknown population mean when the sample size is larger.
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Knowledge
Answer Location: Estimating confidence intervals for a mean with a small sample
Difficulty Level: Easy
Essay
24. Discuss the difference between the 95% and the 99% confidence intervals.
Learning Objective: 7.3. Identify the relationship between levels of confidence and the precision of an interval at a given sample size.
Cognitive Domain: Application
Answer Location: Estimating a population mean from large samples
Difficulty Level: Medium
25. On a single graph, draw a t-distribution. Then overlay the t-distribution with a z-distribution. How are they different? What implications do these differences have for sampling error, estimates, and confidence intervals?
Learning Objective: 7.4. Explain why different sampling distributions to make inferences from point estimates are necessary when using small versus large samples.
Cognitive Domain: Application
Answer Location: Estimating confidence intervals for a mean with a small sample
Difficulty Level: Hard
Document Information
Connected Book
Answer Key + Test Bank | Statistics for Criminology and Criminal Justice 5e by Bachman
By Ronet D. Bachman