Question 1

Which of the following statements is true?

Accepted Answer

A)  The sample mean is relatively more efficient than the sample median. 
B)  The version of the sample variance where you divide by n is biased. 
C)  The sample mean is consistent. 
D)  All of these choices are true. 
A)  The sample mean is relatively more efficient than the sample median. 
B)  The version of the sample variance where you divide by n is biased. 
C)  The sample mean is consistent. 
D)  All of these choices are true.

Question 2

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

Accepted Answer

The answer of If there are two unbiased estimators of...

Question 3

Which of the following is not a part of the formula for constructing a confidence interval estimate of the population mean?

Accepted Answer

A)  A point estimate of the population mean. 
B)  The standard error of the sampling distribution of the sample mean. 
C)  The confidence level. 
D)  The value of the population mean. 
A)  A point estimate of the population mean. 
B)  The standard error of the sampling distribution of the sample mean. 
C)  The confidence level. 
D)  The value of the population mean.

Question 4

The problem with relying on a point estimate of a population parameter is that:

Accepted Answer

A)  it is virtually certain to be wrong. 
B)  it doesn't have the capacity to reflect the effects of larger sample sizes. 
C)  it doesn't tell us how close or far the point estimate might be from the parameter. 
D)  All of these choices are true. 
A)  it is virtually certain to be wrong. 
B)  it doesn't have the capacity to reflect the effects of larger sample sizes. 
C)  it doesn't tell us how close or far the point estimate might be from the parameter. 
D)  All of these choices are true.

Question 5

The confidence interval estimate of the population mean is constructed around the sample mean.

Accepted Answer

A) True 
 B)False

Question 6

Other things being equal,the confidence interval for the mean will be wider for 99% confidence than for 95% confidence.

Accepted Answer

A) True 
 B)False

Question 7

We do not have control over the population standard deviation when forming a confidence interval,but we can control the ____________________ and the ____________________.

Accepted Answer

confidence level;sam

Question 8

Which of the following conditions does not allow you to use the formula   
 to estimate $\mu$?

Accepted Answer

A)  Population is normally distributed and the population variance is known. 
B)  Population is not normally distributed but n is large;population variance is known. 
C)  Population has any distribution and n is any size. 
D)  All of these choices allow you to use the formula. 
A)  Population is normally distributed and the population variance is known. 
B)  Population is not normally distributed but n is large;population variance is known. 
C)  Population has any distribution and n is any size. 
D)  All of these choices allow you to use the formula.

Question 9

It is desired to estimate the average total compensation of CEOs in the publishing industry.Data were randomly collected from 18 CEOs and 95% confidence interval was calculated to be ($2,190,000,$4,720,000).Based on the interval above,do you believe the actual average total compensation of CEOs in the publishing industry could be $3,000,000?

Accepted Answer

A)  Yes,and I am sure of that. 
B)  Yes,and I am 95% confident of that. 
C)  No,and I am sure of that. 
D)  No,and I am 95% confident of that. 
A)  Yes,and I am sure of that. 
B)  Yes,and I am 95% confident of that. 
C)  No,and I am sure of that. 
D)  No,and I am 95% confident of that.

Question 10

The sample mean $\bar { X }$ is a consistent estimator of the population mean $\mu$

Accepted Answer

A) True 
 B)False

Question 11

Other things being equal,as the confidence level increases,the width of the confidence interval increases.

Accepted Answer

A) True 
 B)False

Question 12

The sample variance is a point estimate of the population variance.

Accepted Answer

A) True 
 B)False

Question 13

Doubling the population standard deviation $\sigma$has the effect of doubling the width of the confidence interval estimate of $\mu$.

Accepted Answer

A) True 
 B)False

Question 14

A confidence interval is a probability statement about the ____________________ mean.

Accepted Answer

The answer of A confidence interval is a probability statement...

Question 15

The confidence ____________________ is the chance that the interval contains the parameter,over repeated sampling.

Accepted Answer

The answer of The confidence ____________________ is the chance that...

Question 16

The letter$\alpha$ in the formula for constructing a confidence interval estimate of the population mean is:

Accepted Answer

A)  the level of confidence. 
B)  the probability that a particular confidence interval will contain the population mean. 
C)  the area in the lower tail of the sampling distribution of the sample mean. 
D)  None of these choices. 
A)  the level of confidence. 
B)  the probability that a particular confidence interval will contain the population mean. 
C)  the area in the lower tail of the sampling distribution of the sample mean. 
D)  None of these choices.

Question 17

An unbiased estimator is a sample statistic whose expected value equals the population parameter.

Accepted Answer

A) True 
 B)False

Question 18

A market researcher is interested in studying the incomes 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 income of $15,000.What is the upper end point in a 99% confidence interval for the average income?

Accepted Answer

The answer of A market researcher is interested in studying...

Question 19

Suppose that a 90% confidence interval for $\mu$ is given by $\bar { x } \pm 0.75$ .This notation means that we are 90% confident that $\mu$ falls between $\bar { x } - 0.75$ and $\bar { x } + 0.75$ .

Accepted Answer

A) True 
 B)False

Question 20

In order to construct a confidence interval estimate of the population mean,the value of the population mean is needed.

Accepted Answer

A) True 
 B)False

Exam 10: Introduction to Estimation

Which of the following statements is true?

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

Which of the following is not a part of the formula for constructing a confidence interval estimate of the population mean?

The problem with relying on a point estimate of a population parameter is that:

The confidence interval estimate of the population mean is constructed around the sample mean.

Other things being equal,the confidence interval for the mean will be wider for 99% confidence than for 95% confidence.

We do not have control over the population standard deviation when forming a confidence interval,but we can control the ____________________ and the ____________________.

Which of the following conditions does not allow you to use the formula to estimate μ\muμ ?

The sample mean Xˉ\bar { X }Xˉ is a consistent estimator of the population mean μ\muμ

Other things being equal,as the confidence level increases,the width of the confidence interval increases.

The sample variance is a point estimate of the population variance.

Doubling the population standard deviation σ\sigmaσ has the effect of doubling the width of the confidence interval estimate of μ\muμ .

A confidence interval is a probability statement about the ____________________ mean.

The confidence ____________________ is the chance that the interval contains the parameter,over repeated sampling.

The letter α\alphaα in the formula for constructing a confidence interval estimate of the population mean is:

An unbiased estimator is a sample statistic whose expected value equals the population parameter.

Suppose that a 90% confidence interval for μ\muμ is given by xˉ±0.75\bar { x } \pm 0.75xˉ±0.75 .This notation means that we are 90% confident that μ\muμ falls between xˉ−0.75\bar { x } - 0.75xˉ−0.75 and xˉ+0.75\bar { x } + 0.75xˉ+0.75 .

In order to construct a confidence interval estimate of the population mean,the value of the population mean is needed.

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

We do not have control over the population standard deviation when forming a confidence interval,but we can control the and the .

Which of the following conditions does not allow you to use the formula $Which of the following conditions does not allow you to use the formula to estimate \mu ?$ to estimate $\mu$ ?

The sample mean $\bar { X }$ is a consistent estimator of the population mean $\mu$

Doubling the population standard deviation $\sigma$ has the effect of doubling the width of the confidence interval estimate of $\mu$ .

The letter $\alpha$ in the formula for constructing a confidence interval estimate of the population mean is:

Suppose that a 90% confidence interval for $\mu$ is given by $\bar { x } \pm 0.75$ .This notation means that we are 90% confident that $\mu$ falls between $\bar { x } - 0.75$ and $\bar { x } + 0.75$ .