Question 1

Draw a sampling distribution of an unbiased estimator for $\mu$.

Accepted Answer

The answer of Draw a sampling distribution of an unbiased...

Question 2

Suppose a 95% confidence interval for $\mu$ turns out to be (1,000,2,100).What does it mean to be 95% confident?

Accepted Answer

A)  In repeated sampling,the population parameter would fall in the resulting interval 95% of the time. 
B)  95% of the observations in the entire population fall in the given interval. 
C)  95% of the observations in the sample fall in the given interval. 
D)  None of these choices. 
A)  In repeated sampling,the population parameter would fall in the resulting interval 95% of the time. 
B)  95% of the observations in the entire population fall in the given interval. 
C)  95% of the observations in the sample fall in the given interval. 
D)  None of these choices.

Question 3

An interval estimator estimates the value of an unknown ____________________.

Accepted Answer

The answer of An interval estimator estimates the value of...

Question 4

College Dean
A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200.
-{College Dean Narrative} What sample size should be used if we wish to estimate the population mean to within 10 units?

Accepted Answer

n = 2,663

Question 5

If the population values are very close to each other,the width of the confidence interval is ____________________ than if the population values are very far apart.

Accepted Answer

The answer of If the population values are very close...

Question 6

An interval estimate is a range of values within which the actual value of the population parameter,such as $\mu$,may fall.

Accepted Answer

A) True 
 B)False

Question 7

In developing an interval estimate for a population mean,the population standard deviation $\sigma$ was assumed to be 10.The interval estimate was 50.92 $\pm$2.14.Had $\sigma$ equaled 20,the interval estimate would be

Accepted Answer

A)  60.92 $\pm$ 2.14 
B)  50.92$\pm$12.14 
C)  101.84 $\pm$ 4.28 
D)  50.92 $\pm$ 4.28 
A)  60.92 $\pm$ 2.14 
B)  50.92$\pm$12.14 
C)  101.84 $\pm$ 4.28 
D)  50.92 $\pm$ 4.28

Question 8

If the bound on the error of estimation decreases,the sample size ____________________.

Accepted Answer

The answer of If the bound on the error of...

Question 9

An interval estimate is an estimate of the range for a sample statistic.

Accepted Answer

A) True 
 B)False

Question 10

An economist is interested in studying the spending habits of consumers in a particular region.The population standard deviation is known to be $1,000.A random sample of 50 individuals resulted in an average expense of $15,000.What is the width of the 99% confidence interval?

Accepted Answer

The answer of An economist is interested in studying the...

Question 11

Which of the following statements is false regarding the sample size needed to estimate a population mean?

Accepted Answer

A)  It is directly proportional to the population variance. 
B)  It is directly proportional to the square of z $\alpha$  / 2. 
C)  It is directly proportional to the square of the maximum allowable error B. 
D)  None of these choices. 
A)  It is directly proportional to the population variance. 
B)  It is directly proportional to the square of z $\alpha$  / 2. 
C)  It is directly proportional to the square of the maximum allowable error B. 
D)  None of these choices.

Question 12

When estimating the population mean using a confidence interval,the sample mean is in the ____________________ of the interval.

Accepted Answer

The answer of When estimating the population mean using a...

Question 13

In this chapter you need four values to construct the confidence interval estimate of $\mu$.They are the sample mean,the sample size,the population standard deviation,and the confidence level.

Accepted Answer

A) True 
 B)False

Question 14

The sample variance s2 is an unbiased estimator of the population variance $\sigma$2 when the denominator of s2 is

Accepted Answer

A)  n + 1 
B)  n 
C)  n - 1 
D)  $$\sqrt { n - 1 }$$ 
A)  n + 1 
B)  n 
C)  n - 1 
D)  $$\sqrt { n - 1 }$$

Question 15

The larger the confidence level used in constructing a confidence interval estimate of the population mean,the narrower the confidence interval.

Accepted Answer

A) True 
 B)False

Question 16

An unbiased estimator of a population parameter is defined as:

Accepted Answer

A)  an estimator whose expected value is equal to the parameter. 
B)  an estimator whose variance is equal to one. 
C)  an estimator whose expected value is equal to zero. 
D)  an estimator whose variance goes to zero as the sample size goes to infinity. 
A)  an estimator whose expected value is equal to the parameter. 
B)  an estimator whose variance is equal to one. 
C)  an estimator whose expected value is equal to zero. 
D)  an estimator whose variance goes to zero as the sample size goes to infinity.

Question 17

A point estimator is defined as:

Accepted Answer

A)  a range of values that estimates an unknown population parameter. 
B)  a single value that estimates an unknown population parameter. 
C)  a range of values that estimates an unknown sample statistic. 
D)  a single value that estimates an unknown sample statistic. 
A)  a range of values that estimates an unknown population parameter. 
B)  a single value that estimates an unknown population parameter. 
C)  a range of values that estimates an unknown sample statistic. 
D)  a single value that estimates an unknown sample statistic.

Question 18

Knowing that an estimator is unbiased only assures us that its expected value equals the parameter,but it does not tell us how close the estimator is to the parameter.

Accepted Answer

A) True 
 B)False

Question 19

If there are two unbiased estimators of a parameter,the one whose variance is smaller is said to be relatively efficient.

Accepted Answer

A) True 
 B)False

Question 20

College Dean
A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200.
-{College Dean Narrative} What sample size should be used if the standard deviation is changed to 50?

Accepted Answer

n = 11 (us

Exam 10: Introduction to Estimation

Draw a sampling distribution of an unbiased estimator for μ\muμ .

Suppose a 95% confidence interval for μ\muμ turns out to be (1,000,2,100).What does it mean to be 95% confident?

An interval estimator estimates the value of an unknown ____________________.

College Dean A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200. -{College Dean Narrative} What sample size should be used if we wish to estimate the population mean to within 10 units?

If the population values are very close to each other,the width of the confidence interval is ____________________ than if the population values are very far apart.

An interval estimate is a range of values within which the actual value of the population parameter,such as μ\muμ ,may fall.

In developing an interval estimate for a population mean,the population standard deviation σ\sigmaσ was assumed to be 10.The interval estimate was 50.92 ±\pm± 2.14.Had σ\sigmaσ equaled 20,the interval estimate would be

If the bound on the error of estimation decreases,the sample size ____________________.

An interval estimate is an estimate of the range for a sample statistic.

An economist is interested in studying the spending habits of consumers in a particular region.The population standard deviation is known to be $1,000.A random sample of 50 individuals resulted in an average expense of $15,000.What is the width of the 99% confidence interval?

Which of the following statements is false regarding the sample size needed to estimate a population mean?

When estimating the population mean using a confidence interval,the sample mean is in the ____________________ of the interval.

In this chapter you need four values to construct the confidence interval estimate of μ\muμ .They are the sample mean,the sample size,the population standard deviation,and the confidence level.

The sample variance s2 is an unbiased estimator of the population variance σ\sigmaσ 2 when the denominator of s2 is

The larger the confidence level used in constructing a confidence interval estimate of the population mean,the narrower the confidence interval.

An unbiased estimator of a population parameter is defined as:

A point estimator is defined as:

Knowing that an estimator is unbiased only assures us that its expected value equals the parameter,but it does not tell us how close the estimator is to the parameter.

If there are two unbiased estimators of a parameter,the one whose variance is smaller is said to be relatively efficient.

College Dean A college dean would like to estimate a population mean to within 40 units with 99% confidence given that the population standard deviation is 200. -{College Dean Narrative} What sample size should be used if the standard deviation is changed to 50?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Draw a sampling distribution of an unbiased estimator for $\mu$ .

Suppose a 95% confidence interval for $\mu$ turns out to be (1,000,2,100).What does it mean to be 95% confident?

An interval estimate is a range of values within which the actual value of the population parameter,such as $\mu$ ,may fall.

In developing an interval estimate for a population mean,the population standard deviation $\sigma$ was assumed to be 10.The interval estimate was 50.92 $\pm$ 2.14.Had $\sigma$ equaled 20,the interval estimate would be

In this chapter you need four values to construct the confidence interval estimate of $\mu$ .They are the sample mean,the sample size,the population standard deviation,and the confidence level.

The sample variance s² is an unbiased estimator of the population variance $\sigma$ ² when the denominator of s² is