According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for non‑Hispanic white males was 76.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research.The distribution of age at death, ????, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x⎯⎯⎯, in all possible samples of size ???? is approximately normal if ???? is large enough, by the central limit theorem.Let x⎯⎯⎯ be the mean life expectancy in a sample of 100 non‑Hispanic white males. Determine the interval centered at the population mean ???? such that 95% of sample means x⎯⎯⎯ will fall in the interval. Give your answers precise to one decimal.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for non‑Hispanic white males was 76.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research.The distribution of age at death, ????, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x⎯⎯⎯, in all possible samples of size ???? is approximately normal if ???? is large enough, by the central limit theorem.Let x⎯⎯⎯ be the mean life expectancy in a sample of 100 non‑Hispanic white males. Determine the interval centered at the population mean ???? such that 95% of sample means x⎯⎯⎯ will fall in the interval. Give your answers precise to one decimal.

 

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