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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21. Prison Sentences. Researcher Sudhinta Sinha discussed how people adjust to prison life in the article “Adjustment and mental health problem in prisoners" (Industrial Psychiatry Journal, Vol. 19, No. 2, pp. 101–104). A sample of 37 sentenced adult male prisoners had an average age of 36.7 years. Assume that, for the sentenced adult male prisoners, the population standard deviation of age is 8.0 years. a. Find and interpret a 90% confidence interval for the mean age, µ, of all sentenced adult male prisoners. b. Under what conditions can you freely apply the procedure that you used in part (a)? 22. Prison Sentences. Refer to Problem 21. a. Find the margin of error, E. b. Explain the meaning of E as far as the accuracy of the estimate is concerned. c. Determine the sample size required to have a margin of error of 1.2 year and a 90% confidence level. d. Find a 90% confidence interval for µ if a sample of the size determined in part (c) yields a mean of 32.5 years.
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Transcribed Image Text:21. Prison Sentences. Researcher Sudhinta Sinha discussed how people adjust to prison life in the article “Adjustment and mental health problem in prisoners" (Industrial Psychiatry Journal, Vol. 19, No. 2, pp. 101–104). A sample of 37 sentenced adult male prisoners had an average age of 36.7 years. Assume that, for the sentenced adult male prisoners, the population standard deviation of age is 8.0 years. a. Find and interpret a 90% confidence interval for the mean age, µ, of all sentenced adult male prisoners. b. Under what conditions can you freely apply the procedure that you used in part (a)? 22. Prison Sentences. Refer to Problem 21. a. Find the margin of error, E. b. Explain the meaning of E as far as the accuracy of the estimate is concerned. c. Determine the sample size required to have a margin of error of 1.2 year and a 90% confidence level. d. Find a 90% confidence interval for µ if a sample of the size determined in part (c) yields a mean of 32.5 years.
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