Question 1

Draw a sampling distribution of a biased estimator for $\mu$.

Accepted Answer

The answer of Draw a sampling distribution of a biased...

Question 2

To estimate with 95% confidence the mean of a normal population whose standard deviation is assumed to be 4 and the maximum allowable sampling error is assumed to be 1, requires a random sample of size 62.

Accepted Answer

A) True 
 B)False

Question 3

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 4

It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

Accepted Answer

The answer of It is intuitively reasonable to expect that...

Question 5

If there are two unbiased estimators of a population parameter available, the one that has the smallest variance is said to be:

Accepted Answer

A)  a biased estimator. 
B)  relatively efficient. 
C)  consistent. 
D)  relatively unbiased. 
A)  a biased estimator. 
B)  relatively efficient. 
C)  consistent. 
D)  relatively unbiased.

Question 6

A random sample of 10 university students was surveyed to determine the amount of time spent weekly at the library.The times are: 13, 14, 5, 6, 8, 10, 7, 12, 15, and 3.If the times are normally distributed with a standard deviation of 5.2 hours, estimate with 90% confidence the mean weekly time at the library by all university students.

Accepted Answer

LCL = 6.59

Question 7

A precision control engineer is interested in the mean length of tubing being cut automatically by machine.It is known that the standard deviation in the cutting length is 0.15 feet.A sample of 60 cut tubes yields a mean length of 12.15 feet.This sample will be used to obtain a 99% confidence interval for the mean length cut by machine.
a.What is the z$\alpha$ / 2 value to use in obtaining the confidence interval?
b.Develop the 99% confidence interval for $\mu$.

Accepted Answer

a.z@#LAT-DLM& / 2 = 2.58
b.LCL

Question 8

Because n is an integer and we want the bound on the error of estimation to be no more than a given amount, any non-integer value found for n must always be rounded ____________________.

Accepted Answer

The answer of Because n is an integer and we...

Question 9

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 10

In the formula   , the subscript$\alpha$ / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.

Accepted Answer

A) True 
 B)False

Question 11

Time Spent Playing Computer Games
Suppose that the amount of time teenagers spend playing computer games per week is normally distributed with a standard deviation of 1.5 hours.A sample of 100 teenagers is selected at random, and the sample mean computed as 6.5 hours.
-{Time Spent Playing Computer Games Narrative} Determine the 95% confidence interval estimate of the population mean.

Accepted Answer

LCL = 6.21

Question 12

A random sample of 10 university students was surveyed to help estimate the average amount of time students spent per week on their computers.The student hours spent using a personal computer over a randomly selected week were 13, 14, 5, 6, 8, 10, 7, 12, 15, 3.
a.
Find an unbiased estimator of the average time per week for all university students.
b.
Find an unbiased estimator of the variance.
c.
Find a consistent estimator of the average time per week for all university students.

Accepted Answer

a.
An unbiased estimator of the populati

Question 13

We cannot interpret the confidence interval estimate of $\mu$ as a probability statement about $\mu$because the population mean is a fixed quantity.

Accepted Answer

A) True 
 B)False

Question 14

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 15

The error of estimation is the ____________________ between an estimator and the parameter.

Accepted Answer

The answer of The error of estimation is the ____________________...

Question 16

The sample mean   is a consistent estimator of the population mean $\mu$.

Accepted Answer

A) True 
 B)False

Question 17

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 18

A research firm has been contracted to estimate the mean weekly family expenditure on clothes.He believes that the standard deviation of the weekly expenditure is $125.Determine with 99% confidence the number of families that must be sampled to estimate the mean weekly family expenditure on clothes to within $15.

Accepted Answer

n = 463 (u

Question 19

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 20

The sample size needed to estimate the population mean was found to be 865.If the value of the population standard deviation was 75, and the maximum allowable error was 5, then the confidence level used was 95%.

Accepted Answer

A) True 
 B)False

Draw a sampling distribution of a biased estimator for $\mu$ .

To estimate with 95% confidence the mean of a normal population whose standard deviation is assumed to be 4 and the maximum allowable sampling error is assumed to be 1, requires a random sample of size 62.

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

It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

If there are two unbiased estimators of a population parameter available, the one that has the smallest variance is said to be:

Because n is an integer and we want the bound on the error of estimation to be no more than a given amount, any non-integer value found for n must always be rounded ____________________.

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

In the formula $In the formula , the subscript \alpha / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.$ , the subscript $\alpha$ / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.

We cannot interpret the confidence interval estimate of $\mu$ as a probability statement about $\mu$ because the population mean is a fixed quantity.

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?

The error of estimation is the ____________________ between an estimator and the parameter.

The sample mean $The sample mean is a consistent estimator of the population mean \mu .$ is a consistent estimator of the population mean $\mu$ .

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

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

The sample size needed to estimate the population mean was found to be 865.If the value of the population standard deviation was 75, and the maximum allowable error was 5, then the confidence level used was 95%.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 10: Introduction to Estimation

Draw a sampling distribution of a biased estimator for μ\muμ .

To estimate with 95% confidence the mean of a normal population whose standard deviation is assumed to be 4 and the maximum allowable sampling error is assumed to be 1, requires a random sample of size 62.

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

It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

If there are two unbiased estimators of a population parameter available, the one that has the smallest variance is said to be:

Because n is an integer and we want the bound on the error of estimation to be no more than a given amount, any non-integer value found for n must always be rounded ____________________.

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

In the formula , the subscript α\alphaα / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.

We cannot interpret the confidence interval estimate of μ\muμ as a probability statement about μ\muμ because the population mean is a fixed quantity.

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?

The error of estimation is the ____________________ between an estimator and the parameter.

The sample mean is a consistent estimator of the population mean μ\muμ .

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

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

The sample size needed to estimate the population mean was found to be 865.If the value of the population standard deviation was 75, and the maximum allowable error was 5, then the confidence level used was 95%.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Filters

Draw a sampling distribution of a biased estimator for $\mu$ .

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

In the formula $In the formula , the subscript \alpha / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.$ , the subscript $\alpha$ / 2 refers to the area in the lower tail or upper tail of the sampling distribution of the sample mean.

We cannot interpret the confidence interval estimate of $\mu$ as a probability statement about $\mu$ because the population mean is a fixed quantity.

The sample mean $The sample mean is a consistent estimator of the population mean \mu .$ is a consistent estimator of the population mean $\mu$ .

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