Question

The sample mean always lies at the center of the confidence interval for the true population...

  1. The sample mean always lies at the center of the confidence interval for the true population mean ( µX ).

  2. The sample mean is also known as the best point estimate for µX .

  3. The true population mean is always in a 90% confidence interval for µX .

  4. If one-hundred (100) 95% confidence intervals for µX are created from some population, the true population mean is likely to be in approximately 95 of these 100 confidence intervals.

Homework Answers

Answer #1

The sample mean always lies at the center of the confidence interval for the true population mean ( µX ).

This statement is True

The sample mean is also known as the best point estimate for µX .

True

The true population mean is always in a 90% confidence interval for µX .

False

If one-hundred (100) 95% confidence intervals for µX are created from some population, the true population mean is likely to be in approximately 95 of these 100 confidence intervals.

False

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Sample mean is always: The lower endpoint of the 99% confidence interval. The middle of the...
Sample mean is always: The lower endpoint of the 99% confidence interval. The middle of the confidence 99% interval. The upper endpoint of the 99% confidence interval. The average monthly electricity consumption in a random sample of 100 households in February 2016 in North Kingstown was 637 kilowatt hours (kWh) with sample standard deviation s=45kwh. A 95% confidence interval for the true electricity consumption in North Kingstown is 637 ± 1.95 * 45/10 637 ± 1.96 * 45 637 ±...
A 90% confidence interval for mu, the population mean: A. Always contains x-bar, the sample mean...
A 90% confidence interval for mu, the population mean: A. Always contains x-bar, the sample mean B. Is created by a process that will yield an interval that does not contain mu 10% of the time C. Is wider if s, the sample standard deviation, is used than if sigma, the population standard deviation, is known and used D. All of the above
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 55 home theater systems has a mean price of ​$115.00. Assume the population standard deviation is ​$17.70. 1. The​ 90% confidence interval is? 2. Interpret the results. Choose the correct...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 45 home theater systems has a mean price of ​$ 137.00 137.00. Assume the population standard deviation is ​$ 16.60 16.60. Construct a​ 90% confidence interval for the population...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 35 home theater systems has a mean price of ​$128.00 Assume the population standard deviation is ​$19.30 Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval...
Which of the following statements is true with regards to a confidence interval? Select one: a....
Which of the following statements is true with regards to a confidence interval? Select one: a. The true population value is always inside the constructed interval b. Most calculations of confidence intervals require a point estimate and the margin of error c. Given the same confidence level, building a t-interval is always narrower than a z-interval d. A 90% confidence interval means there is a 90% chance the population value is within the constructed interval e. You need to know...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample...
Use the t-distribution to find a confidence interval for a mean μ given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 90% confidence interval for μ using the sample results x¯=3.5, s=0.4, and n=100 Round your answer for the point estimate to one decimal place, and your answers for the margin of...
A 99% confidence interval estimate of the population mean ? can be interpreted to mean: a)...
A 99% confidence interval estimate of the population mean ? can be interpreted to mean: a) if all possible sample are taken and confidence intervals created, 99% of them would include the true population mean somewhere within their interval. b) we have 99% confidence that we have selected a sample whose interval does include the population mean. c) we estimate that the population mean falls between the lower and upper confidence limits, and this type of estimator is correct 99%...
You are given the sample mean and the sample standard deviation. Use this information to construct...
You are given the sample mean and the sample standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 5050 home theater systems has a mean price of ​$145.00145.00 and a standard deviation is ​$18.7018.70. The​ 90% confidence interval is The​ 95% confidence interval is Interpret the results. Choose...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample...
1. Develop 90 %, 95 %, and 99% confidence intervals for population mean (µ) when sample mean is 10 with the sample size of 100. Population standard deviation is known to be 5. 2. Suppose that sample size changes to 144 and 225. Develop three confidence intervals again. What happens to the margin of error when sample size increases? 3. A simple random sample of 400 individuals provides 100 yes responses. Compute the 90%, 95%, and 99% confidence interval for...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT