Question 1

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows smaller as the sample size grows larger.

Accepted Answer

A) True 
 B)False  True

Question 2

____________________ estimators do not have the capacity to reflect the effects of larger sample sizes.

Accepted Answer

Point

Question 3

The librarian at the New York City Public Library has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is:

Accepted Answer

A)  790 
B)  880 
C)  90 
D)  None of these choices. 
A)  790 
B)  880 
C)  90 
D)  None of these choices. B

Question 4

When determining the required sample size for a confidence interval, you need to know the population ____________________, the confidence ____________________, and the ____________________ on the error of estimation.

Accepted Answer

standard d

Question 5

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.

Accepted Answer

A) True 
 B)False

Question 6

Explain briefly why interval estimators are preferred to point estimators.

Accepted Answer

An interval estimator incorpor

Question 7

The sample ____________________ is an unbiased estimator for the population mean.

Accepted Answer

The answer of The sample ____________________ is an unbiased estimator...

Question 8

An unbiased estimator has an average value (across all samples) equal to the population parameter.

Accepted Answer

A) True 
 B)False

Question 9

Draw sampling distributions of a consistent estimator for $\mu$ where one sample mean is larger than the other.

Accepted Answer

The answer of Draw sampling distributions of a consistent estimator...

Question 10

Define consistency.

Accepted Answer

An unbiased estimator is said

Question 11

An unbiased estimator is ____________________ if its variance gets smaller as n gets larger.

Accepted Answer

The answer of An unbiased estimator is ____________________ if its...

Question 12

When determining the sample size needed for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be:

Accepted Answer

A)  the smaller the sample size required. 
B)  the larger the sample size required. 
C)  the sample size is not affected. 
D)  the effect cannot be determined from the information given. 
A)  the smaller the sample size required. 
B)  the larger the sample size required. 
C)  the sample size is not affected. 
D)  the effect cannot be determined from the information given.

Question 13

Define unbiasedness.

Accepted Answer

An unbiased estimato

Question 14

Assuming that all necessary conditions are met, what needs to be changed in the formula   so that we can use it to construct a (1 -$\alpha$) confidence interval estimate for the population proportion p?

Accepted Answer

A)  should be replaced by p. 
B)  t $\alpha$  should be replaced by z $\alpha$ . 
C)  t $\alpha$  should be replaced by t $\alpha$  / 2. 
D)  t $\alpha$  should be replaced by z $\alpha$  / 2. 
A)  should be replaced by p. 
B)  t $\alpha$  should be replaced by z $\alpha$ . 
C)  t $\alpha$  should be replaced by t $\alpha$  / 2. 
D)  t $\alpha$  should be replaced by z $\alpha$  / 2.

Question 15

Which of the following is not a characteristic for a good estimator?

Accepted Answer

A)  Being unbiased 
B)  Being consistent 
C)  Having relative efficiency 
D)  All of these choices are true. 
A)  Being unbiased 
B)  Being consistent 
C)  Having relative efficiency 
D)  All of these choices are true.

Question 16

From a sample of 400 items, 14 are found to be defective. The point estimate of the population proportion defective will be:

Accepted Answer

A)  0.035 
B)  0.05 
C)  14 
D)  28.57 
A)  0.035 
B)  0.05 
C)  14 
D)  28.57

Question 17

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

Accepted Answer

A) True 
 B)False

Question 18

A survey claims that 9 out of 10 doctors recommend aspirin for their patients with headaches. To test this claim against the alternative that the actual proportion of doctors who recommend aspirin is less than 0.90, a random sample of 100 doctors' results in 83 who indicate that they recommend aspirin. The value of the test statistic in this problem is approximately equal to:

Accepted Answer

A)  -1.67 
B)  -2.33 
C)  -1.86 
D)  -0.14 
A)  -1.67 
B)  -2.33 
C)  -1.86 
D)  -0.14

Question 19

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

Accepted Answer

A) True 
 B)False

Question 20

Under what condition(s) does the test statistic for p have an approximate normal distribution?

Accepted Answer

A)  When np > 5. 
B)  When np and np(1 - p) are both > 5. 
C)  When n > 30. 
D)  When np and n(1 - p) are both > 5. 
A)  When np > 5. 
B)  When np and np(1 - p) are both > 5. 
C)  When n > 30. 
D)  When np and n(1 - p) are both > 5.

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows smaller as the sample size grows larger.

____________________ estimators do not have the capacity to reflect the effects of larger sample sizes.

When determining the required sample size for a confidence interval, you need to know the population , the confidence , and the on the error of estimation.

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.

Explain briefly why interval estimators are preferred to point estimators.

The sample ____________________ is an unbiased estimator for the population mean.

An unbiased estimator has an average value (across all samples) equal to the population parameter.

Draw sampling distributions of a consistent estimator for $\mu$ where one sample mean is larger than the other.

Define consistency.

An unbiased estimator is ____________________ if its variance gets smaller as n gets larger.

When determining the sample size needed for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be:

Define unbiasedness.

Which of the following is not a characteristic for a good estimator?

From a sample of 400 items, 14 are found to be defective. The point estimate of the population proportion defective will be:

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

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

Under what condition(s) does the test statistic for p have an approximate normal distribution?

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

Exam 9: Introduction to Estimation

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows smaller as the sample size grows larger.

____________________ estimators do not have the capacity to reflect the effects of larger sample sizes.

When determining the required sample size for a confidence interval, you need to know the population ____________________, the confidence ____________________, and the ____________________ on the error of estimation.

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.

Explain briefly why interval estimators are preferred to point estimators.

The sample ____________________ is an unbiased estimator for the population mean.

An unbiased estimator has an average value (across all samples) equal to the population parameter.

Draw sampling distributions of a consistent estimator for μ\muμ where one sample mean is larger than the other.

Define consistency.

An unbiased estimator is ____________________ if its variance gets smaller as n gets larger.

When determining the sample size needed for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be:

Define unbiasedness.

Assuming that all necessary conditions are met, what needs to be changed in the formula so that we can use it to construct a (1 - α\alphaα ) confidence interval estimate for the population proportion p?

Which of the following is not a characteristic for a good estimator?

From a sample of 400 items, 14 are found to be defective. The point estimate of the population proportion defective will be:

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

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

Under what condition(s) does the test statistic for p have an approximate normal distribution?

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Review of Statistical Inference

Filters

When determining the required sample size for a confidence interval, you need to know the population , the confidence , and the on the error of estimation.

Draw sampling distributions of a consistent estimator for $\mu$ where one sample mean is larger than the other.

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