Question 1

Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

Accepted Answer

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Question 2

The upper limit of the 90% confidence interval for μ,where n = 64,= 70,and σ = 20,is 74.11

Accepted Answer

Since we are given the upper limit of the 90% confidence interval for μ as 74.11, we know that the interval estimate is (70, 74.11).

Using the formula for the margin of error for a 90% confidence interval:

ME = 1.645 * (σ / √n)

Substituting the given values:

ME = 1.645 * (20 / √64) = 8.225

Then we can obtain the lower limit of the interval estimate:

Lower limit = 70 - ME = 61.775

Therefore, the 90% confidence interval for μ is (61.775, 74.11).

Since the upper limit of this interval is indeed 74.11, the statement is true and the answer is A.

Question 3

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

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The answer of As the bound on the error 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 using a 95% confidence level?

Accepted Answer

The answer of College Dean
 A college dean would like...

Question 5

The bound on the error of estimation is the ____________________ amount of sampling error that we are willing to tolerate.

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

Question 6

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?

Accepted Answer

The answer of College Dean
 A college dean would like...

Question 7

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

The answer of College Dean
 A college dean would like...

Question 8

Determine the sample size that is required to estimate a population mean to within 0.4 units with a 99% confidence when the population standard deviation is 1.75.

Accepted Answer

The answer of Determine the sample size that is required...

Question 9

An engineer for an electric fencing company is interested in the mean length of wires being cut automatically by machine.The desired length of the wires is 12 feet.It is known that the standard deviation in the cutting length is 0.15 feet.Suppose the engineer decided to estimate the mean length to within 0.025 with 99% confidence.What sample size would be needed?

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The answer of An engineer for an electric fencing company...

Question 10

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

The answer of A research firm has been contracted to...

Question 11

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

The answer of College Dean
 A college dean would like...

Question 12

How large a sample of federal employees in Nevada should be taken if we want to estimate with 98% confidence the mean salary to within $2,000.The population standard deviation is assumed to be $10,500.

Accepted Answer

The answer of How large a sample of federal employees...

Question 13

The upper limit of the 90% confidence interval for μ,where n = 81,= 70,and σ = 20,is 77.33.

Accepted Answer

To find the upper limit of a 90% confidence interval for the mean (μ), we use the formula: mean + (Z * (σ/√n)). Here, Z for 90% confidence is 1.645. Calculating gives 70 + (1.645 * (20/√81)) = 73.65, not 77.33.

Question 14

An electronics retailer is interested in studying the incomes of consumers in a particular area.The population standard deviation is known to be $1,000.What sample size would the researcher need to use for a 95% confidence interval if the difference between UCL and LCL should not be more than $100?

Accepted Answer

The answer of An electronics retailer is interested in studying...

Quiz 10: Introduction to Estimation

Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

The upper limit of the 90% confidence interval for μ,where n = 64,= 70,and σ = 20,is 74.11

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

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 using a 95% confidence level?

The bound on the error of estimation is the ____________________ amount of sampling error that we are willing to tolerate.

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?

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?

Determine the sample size that is required to estimate a population mean to within 0.4 units with a 99% confidence when the population standard deviation is 1.75.

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?

How large a sample of federal employees in Nevada should be taken if we want to estimate with 98% confidence the mean salary to within $2,000.The population standard deviation is assumed to be $10,500.

The upper limit of the 90% confidence interval for μ,where n = 81,= 70,and σ = 20,is 77.33.

An electronics retailer is interested in studying the incomes of consumers in a particular area.The population standard deviation is known to be $1,000.What sample size would the researcher need to use for a 95% confidence interval if the difference between UCL and LCL should not be more than $100?

Quiz 10: Introduction to Estimation

Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

The upper limit of the 90% confidence interval for μ,where n = 64,= 70,and σ = 20,is 74.11

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

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 using a 95% confidence level?

The bound on the error of estimation is the ____________________ amount of sampling error that we are willing to tolerate.

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?

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?

Determine the sample size that is required to estimate a population mean to within 0.4 units with a 99% confidence when the population standard deviation is 1.75.

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?

How large a sample of federal employees in Nevada should be taken if we want to estimate with 98% confidence the mean salary to within $2,000.The population standard deviation is assumed to be $10,500.

The upper limit of the 90% confidence interval for μ,where n = 81,= 70,and σ = 20,is 77.33.

An electronics retailer is interested in studying the incomes of consumers in a particular area.The population standard deviation is known to be $1,000.What sample size would the researcher need to use for a 95% confidence interval if the difference between UCL and LCL should not be more than $100?

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 using a 95% confidence level?

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?

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?

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?