Question

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.

From a random sample of

78

​dates, the mean record high daily temperature in a certain city has a mean of

85.43 degrees°F.

Assume the population standard deviation is

13.72 degrees°F.

The​ 90% confidence interval is

​(nothing​,nothing​).

​(Round to two decimal places as​ needed.)

The​ 95% confidence interval is

​(nothing​,nothing​).

​(Round to two decimal places as​ needed.)

Which interval is​ wider? Choose the correct answer below.

The​ 90% confidence interval

The​ 95% confidence interval

Interpret the results.

A.You can be certain that the mean record high temperature was within the​ 90% confidence interval for approximately

70

of the

78

​days, and was within the​ 95% confidence interval for approximately

74

of the

78

days.

B.

You can be certain that the population mean record high temperature is either between the lower bounds of the​ 90% and​ 95% confidence intervals or the upper bounds of the​ 90% and​ 95% confidence intervals.

C.

You can be​ 90% confident that the population mean record high temperature is outside the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​95% interval.

D.

You can be​ 90% confident that the population mean record high temperature is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​95% interval.

Homework Answers

Answer #1

Which interval is​ wider?

You can be​ 90% confident that the population mean record high temperature is between the bounds of the​ 90% confidence​ interval, and​ 95% confident for the​ 95% interval.

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
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. From a random sample of 72 ​dates, the mean record high daily temperature in a certain city has a mean of 82.800F. Assume the population standard deviation is 15.250F. The​ 90% confidence interval is ​( , ​). ​(Round to two decimal places as​...
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. From a random sample of 33 business​ days, the mean closing price of a certain stock was ​$111.13. Assume the population standard deviation is ​$10.41. The​ 90% confidence interval is ​( nothing​, nothing​). ​(Round to two decimal places as​ needed.) The​ 95% confidence...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. From a random sample of 71 ​dates, the mean record high daily temperature in a certain city has a mean of 85.80 degrees°F. Assume the population standard deviation is 14.03 degrees°F. The​ 90% confidence interval is ​(?​,?​). ​(Round to two decimal places as​...
You are given the sample mean and the population standard deviation. Use this information to construct...
You are given the sample mean and the population standard deviation. Use this information to construct the​ 90% and​ 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If​ convenient, use technology to construct the confidence intervals. A random sample of 45 45 home theater systems has a mean price of ​$ 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. From a random sample of 69 ​dates, the mean record high daily temperature in a certain city has a mean of 82.66degreesF. Assume the population standard deviation is 13.52degreesF.
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 60 home theater systems has a mean price of ​$147.00. Assume the population standard deviation is ​$19.40. Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval...
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...
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. From a random sample of 45 business​ days, the mean closing price of a certain stock was ​$116.70. Assume the population standard deviation is ​$11.02. The​ 90% confidence interval is ​( ​, ​). Construct the indicated confidence interval for the population mean μ...
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 6060 home theater systems has a mean price of $129.00129.00. Assume the population standard deviation is ​$15.9015.90. Construct a​ 90% confidence interval for the population mean. The​ 90% confidence interval is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT