According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x, in all possible samples of size n is approximately normal if n is large enough, by the central limit theorem. Let x be the mean life expectancy in a sample of 100 Hispanic females. Determine the interval centered at the population mean µ such that 95% of sample means x will fall in the interval. Give your answers precise to one decimal.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females
was 84.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research.
The distribution of age at death, X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean,
x, in all possible samples of size n is approximately normal if n is large enough, by the central limit theorem.
Let x be the mean life expectancy in a sample of 100 Hispanic females. Determine the interval centered at the population
mean u such that 95% of sample means x will fall in the interval. Give your answers precise to one decimal.
You may need to use software or a table of z-critical values.
lower limit
years
unper limit.
vears.
Transcribed Image Text:According to the Center for Disease Control and Prevention (CDC), the mean life expectancy in 2015 for Hispanic females was 84.3 years. Assume that the standard deviation was 15 years, as suggested by the Bureau of Economic Research. The distribution of age at death, X, is not normal because it is skewed to the left. Nevertheless, the distribution of the mean, x, in all possible samples of size n is approximately normal if n is large enough, by the central limit theorem. Let x be the mean life expectancy in a sample of 100 Hispanic females. Determine the interval centered at the population mean u such that 95% of sample means x will fall in the interval. Give your answers precise to one decimal. You may need to use software or a table of z-critical values. lower limit years unper limit. vears.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman