MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A 95% confidence interval of 19.1 months to 48.7 months has been found for the mean duration of imprisonment, u, of political prisoners of a certain country with chronic PTSD.
a. Determine the margin of error, E.
b. Explain the meaning of E in this context in terms of the accuracy of the estimate.
c. Find the sample size required to have a margin of error of 12 months and a 99% confidence level. (Use o =42 months.)
d. Find a 99% confidence interval for the mean duration of imprisonment, u, if a sample of the size determined in part (c) has
mean of 36.2 months.
a. The margin of error is
(Type an integer or a decimal.)
months.
b. Choose the correct answer below.
O A. One can be 95% confident that the maximum error made in estimating u by x is as found in part (a).
O B. One can be 95% confident that the minimum error made in estimating u by x is as found in part (a).
O C. One can be 95% confident that the interval 19.1 months to 48.7 months contains the mean duration of imprisonment, u, of the prisoners.
O D. The average duration of imprisonment is as found in part (a).
c. The required sample size to have a margin of error of 12 months with a 99% confidence level is
(Round up to the nearest whole number.)
prisoners.
d. The 99% confidence interval for the mean duration of imprisonment, pu, is from
months to
months.
(Round to one decimal place as needed. Use ascending order.)
y is
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Transcribed Image Text:A 95% confidence interval of 19.1 months to 48.7 months has been found for the mean duration of imprisonment, u, of political prisoners of a certain country with chronic PTSD. a. Determine the margin of error, E. b. Explain the meaning of E in this context in terms of the accuracy of the estimate. c. Find the sample size required to have a margin of error of 12 months and a 99% confidence level. (Use o =42 months.) d. Find a 99% confidence interval for the mean duration of imprisonment, u, if a sample of the size determined in part (c) has mean of 36.2 months. a. The margin of error is (Type an integer or a decimal.) months. b. Choose the correct answer below. O A. One can be 95% confident that the maximum error made in estimating u by x is as found in part (a). O B. One can be 95% confident that the minimum error made in estimating u by x is as found in part (a). O C. One can be 95% confident that the interval 19.1 months to 48.7 months contains the mean duration of imprisonment, u, of the prisoners. O D. The average duration of imprisonment is as found in part (a). c. The required sample size to have a margin of error of 12 months with a 99% confidence level is (Round up to the nearest whole number.) prisoners. d. The 99% confidence interval for the mean duration of imprisonment, pu, is from months to months. (Round to one decimal place as needed. Use ascending order.) y is
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