Exam 8: Confidence Interval Estimation

When the samples we want to compare are paired in some natural way,such as pretest/posttest for each person or husband/wife pairs,a more appropriate form of analysis is to not compare two separate variables,but their .

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Question 1

Correct Answer:

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When you calculate the sample size for a proportion,you use an estimate for the population proportion;namely $P _ { \text {est } }$ )A conservative value for n can be obtained by using $P _ { \text {est } }$ =

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Question 2

Correct Answer:

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If a random sample of size 250 is taken from a population,where it is known that the population proportion p = 0.4,then the mean of the sampling distribution of the sample proportion $\hat { p }$ is 0.60.

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(True/False)

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Question 3

Correct Answer:

Verified

False

After calculating the sample size needed to estimate a population proportion to within 0.05,you have been told that the maximum allowable error (B)must be reduced to just 0.025.If the original calculation led to a sample size of 1000,the sample size will now have to be:

(Multiple Choice)

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Question 4

From a sample of 500 items,30 were found to be defective.The point estimate of the population proportion defective will be:

(Multiple Choice)

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Question 5

In order to construct a confidence interval estimate of the population mean $\mu$ ,the value of $\mu$ must be given.

(True/False)

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Question 6

In general,increasing the confidence level will narrow the confidence interval,and decreasing the confidence level widens the interval.

(True/False)

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Question 7

The shape of a chi-square distribution

(Multiple Choice)

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Question 8

As a general rule,the normal distribution is used to approximate the sampling distribution of the sample proportion $\hat { p }$ only if the sample size n is greater than 30.

(True/False)

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Question 9

A confidence interval is an interval estimate for which there is a specified degree of certainty that the actual true value of the population parameter will fall within the interval.

(True/False)

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Question 10

If you are constructing a confidence interval for a single mean,the confidence interval will with a decrease in the sample size.

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Question 11

Samples of exam scores for employees before and after a training class would be examples of paired data

(True/False)

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Question 12

An example of a problem where the sample data would be paired is:

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Question 13

The number of degrees of freedom needed to construct 90% confidence interval for the difference between means when the data are gathered from paired samples,with 15 observations in each sample,is:

(Multiple Choice)

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Question 14

If a sample has 20 observations and a 95% confidence estimate for $\mu$ is needed,the appropriate value of t-multiple is 2.093

(True/False)

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Question 15

The approximate standard error of the point estimate of the population total is:

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Question 16

The standard error of the sampling distribution of the sample proportion $\hat { p }$ ,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.

(True/False)

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Question 17

In determining the sample size n for estimating the population proportion p,a conservative value of n can be obtained by using 0.50 as an estimate of p.

(True/False)

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Question 18

The confidence interval for the population standard deviation s is centered at the point estimate,the sample standard deviation s.

(True/False)

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Question 19

The t-distribution for developing a confidence interval for a mean has degrees of freedom.

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Question 20

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When the samples we want to compare are paired in some natural way,such as pretest/posttest for each person or husband/wife pairs,a more appropriate form of analysis is to not compare two separate variables,but their .

When you calculate the sample size for a proportion,you use an estimate for the population proportion;namely $P _ { \text {est } }$ )A conservative value for n can be obtained by using $P _ { \text {est } }$ =

If a random sample of size 250 is taken from a population,where it is known that the population proportion p = 0.4,then the mean of the sampling distribution of the sample proportion $\hat { p }$ is 0.60.

After calculating the sample size needed to estimate a population proportion to within 0.05,you have been told that the maximum allowable error (B)must be reduced to just 0.025.If the original calculation led to a sample size of 1000,the sample size will now have to be:

From a sample of 500 items,30 were found to be defective.The point estimate of the population proportion defective will be:

In order to construct a confidence interval estimate of the population mean $\mu$ ,the value of $\mu$ must be given.

In general,increasing the confidence level will narrow the confidence interval,and decreasing the confidence level widens the interval.

The shape of a chi-square distribution

As a general rule,the normal distribution is used to approximate the sampling distribution of the sample proportion $\hat { p }$ only if the sample size n is greater than 30.

A confidence interval is an interval estimate for which there is a specified degree of certainty that the actual true value of the population parameter will fall within the interval.

If you are constructing a confidence interval for a single mean,the confidence interval will with a decrease in the sample size.

Samples of exam scores for employees before and after a training class would be examples of paired data

An example of a problem where the sample data would be paired is:

The number of degrees of freedom needed to construct 90% confidence interval for the difference between means when the data are gathered from paired samples,with 15 observations in each sample,is:

If a sample has 20 observations and a 95% confidence estimate for $\mu$ is needed,the appropriate value of t-multiple is 2.093

The approximate standard error of the point estimate of the population total is:

The standard error of the sampling distribution of the sample proportion $\hat { p }$ ,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.

In determining the sample size n for estimating the population proportion p,a conservative value of n can be obtained by using 0.50 as an estimate of p.

The confidence interval for the population standard deviation s is centered at the point estimate,the sample standard deviation s.

The t-distribution for developing a confidence interval for a mean has degrees of freedom.

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

Exam 8: Confidence Interval Estimation

When the samples we want to compare are paired in some natural way,such as pretest/posttest for each person or husband/wife pairs,a more appropriate form of analysis is to not compare two separate variables,but their .

When you calculate the sample size for a proportion,you use an estimate for the population proportion;namely Pest P _ { \text {est } }Pest ​ )A conservative value for n can be obtained by using Pest P _ { \text {est } }Pest ​ =

If a random sample of size 250 is taken from a population,where it is known that the population proportion p = 0.4,then the mean of the sampling distribution of the sample proportion p^\hat { p }p^​ is 0.60.

After calculating the sample size needed to estimate a population proportion to within 0.05,you have been told that the maximum allowable error (B)must be reduced to just 0.025.If the original calculation led to a sample size of 1000,the sample size will now have to be:

From a sample of 500 items,30 were found to be defective.The point estimate of the population proportion defective will be:

In order to construct a confidence interval estimate of the population mean μ\muμ ,the value of μ\muμ must be given.

In general,increasing the confidence level will narrow the confidence interval,and decreasing the confidence level widens the interval.

The shape of a chi-square distribution

As a general rule,the normal distribution is used to approximate the sampling distribution of the sample proportion p^\hat { p }p^​ only if the sample size n is greater than 30.

A confidence interval is an interval estimate for which there is a specified degree of certainty that the actual true value of the population parameter will fall within the interval.

If you are constructing a confidence interval for a single mean,the confidence interval will with a decrease in the sample size.

Samples of exam scores for employees before and after a training class would be examples of paired data

An example of a problem where the sample data would be paired is:

The number of degrees of freedom needed to construct 90% confidence interval for the difference between means when the data are gathered from paired samples,with 15 observations in each sample,is:

If a sample has 20 observations and a 95% confidence estimate for μ\muμ is needed,the appropriate value of t-multiple is 2.093

The approximate standard error of the point estimate of the population total is:

The standard error of the sampling distribution of the sample proportion p^\hat { p }p^​ ,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.

In determining the sample size n for estimating the population proportion p,a conservative value of n can be obtained by using 0.50 as an estimate of p.

The confidence interval for the population standard deviation s is centered at the point estimate,the sample standard deviation s.

The t-distribution for developing a confidence interval for a mean has degrees of freedom.

Introduction to Data Analysis and Decision Making

Describing the Distribution of a Single Variable

Finding Relationships Among Variables

Probability and Probability Distributions

Normal, Binomial, Poisson, and Exponential Distributions

Decision Making Under Uncertainty

Sampling and Sampling Distributions

Hypothesis Testing

Regression Analysis: Estimating Relationships

Regression Analysis: Statistical Inference

Time Series Analysis and Forecasting

Introduction to Optimization Modeling

Optimization Models

Introduction to Simulation Modeling

Simulation Models

Data Mining

Importing Data Into Excel

Analysis of Variance and Experimental Design

Statistical Process Control

Filters

When you calculate the sample size for a proportion,you use an estimate for the population proportion;namely $P _ { \text {est } }$ )A conservative value for n can be obtained by using $P _ { \text {est } }$ =

If a random sample of size 250 is taken from a population,where it is known that the population proportion p = 0.4,then the mean of the sampling distribution of the sample proportion $\hat { p }$ is 0.60.

In order to construct a confidence interval estimate of the population mean $\mu$ ,the value of $\mu$ must be given.

As a general rule,the normal distribution is used to approximate the sampling distribution of the sample proportion $\hat { p }$ only if the sample size n is greater than 30.

If a sample has 20 observations and a 95% confidence estimate for $\mu$ is needed,the appropriate value of t-multiple is 2.093

The standard error of the sampling distribution of the sample proportion $\hat { p }$ ,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.