From the 2010 US Census, we learn that 71.8% of the residents of Missouri are 21 years old or over. If we take several random samples of size n=250 and calculate the proportion of the sample that is 21 years old or over; a) Describe the shape of the distribution of sample proportions b) Check if necessary conditions are met to assume a normal model for the distribution for the sample proportions. c) Write the probability model for the distribution for the sample proportion d)What are the mean and the standard deviation (i.e. standard error) of the distribution of the sample proportions if instead, we take a random sample of 500?
From the 2010 US Census, we learn that 71.8% of the residents of Missouri are 21 years old or over. If we take several random samples of size n=250 and calculate the proportion of the sample that is 21 years old or over; a) Describe the shape of the distribution of sample proportions b) Check if necessary conditions are met to assume a normal model for the distribution for the sample proportions. c) Write the probability model for the distribution for the sample proportion d)What are the mean and the standard deviation (i.e. standard error) of the distribution of the sample proportions if instead, we take a random sample of 500?
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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From the 2010 US Census, we learn that 71.8% of the residents of Missouri are 21 years old or over. If we take several random
a) Describe the shape of the distribution of sample proportions
b) Check if necessary conditions are met to assume a normal model for the distribution for the sample proportions.
c) Write the probability model for the distribution for the sample proportion
d)What are the mean and the standard deviation (i.e. standard error) of the distribution of the sample proportions if instead, we take a random sample of 500?
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