In a random sample of five people, the mean driving distance to work was 20.3 miles and the standard deviation was 6.6 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean p is (6.7, 33.9) (and the margin of error is 13.6). Through research, it has been found that the population standard deviation of driving distances to work is 5.7. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean u. Interpret and compare the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 99% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. O B. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. O C. It can be said that 9% of the population has a driving distance to work (in miles) that is between the interval's endpoints. O D. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. Compare these results to the results that used the t-distribution. The new confidence interval is v the confidence interval that used the t-distribution and has V center.
In a random sample of five people, the mean driving distance to work was 20.3 miles and the standard deviation was 6.6 miles. Assuming the population is normally distributed and using the t-distribution, a 99% confidence interval for the population mean p is (6.7, 33.9) (and the margin of error is 13.6). Through research, it has been found that the population standard deviation of driving distances to work is 5.7. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population mean u. Interpret and compare the results. Identify the margin of error. (Round to one decimal place as needed.) Construct a 99% confidence interval for the population mean. (Round to one decimal place as needed.) Interpret the results. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal. Do not round.) O A. With % confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints. O B. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints. O C. It can be said that 9% of the population has a driving distance to work (in miles) that is between the interval's endpoints. O D. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints. Compare these results to the results that used the t-distribution. The new confidence interval is v the confidence interval that used the t-distribution and has V center.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:In a random sample of five people, the mean driving distance to work was 20.3 miles and the standard deviation was 6.6 miles. Assuming the population is normally distributed and using the t-distribution,
a 99% confidence interval for the population mean u is (6.7, 33.9) (and the margin of error is 13.6). Through research, it has been found that the population standard deviation of driving distances to work
is 5.7. Using the standard normal distribution with the appropriate calculations for a standard deviation that is known, find the margin of error and construct a 99% confidence interval for the population
mean u. Interpret and compare the results.
Identify the margin of error.
(Round to one decimal place as needed.)
Construct a 99% confidence interval for the population mean.
(Round to one decimal place as needed.)
Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.
(Type an integer or a decimal. Do not round.)
O A. With
% confidence, it can be said that the population mean driving distance to work (in miles) is between the interval's endpoints.
O B. % of all random samples of five people from the population will have a mean driving distance to work (in miles) that is between the interval's endpoints.
O C. It can be said that 9% of the population has a driving distance to work (in miles) that is between the interval's endpoints.
O D. With % confidence, it can be said that most driving distances to work (in miles) in the population are between the interval's endpoints.
Compare these results to the results that used the t-distribution.
The new confidence interval is
v the confidence interval that used the t-distribution and has
v center.
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