
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Variability of Sample Estimates
A political campaign sends volunteers out into the various parts of the state to get a sense of how well their candidate will do in an upcoming elcction. Thirty
volunteers each get a random sample of 10 people in tho state and find the proportion of people who are expecting to vote for ther candidate. The sample
proportions are summarized in the histogram.
The mean of these sample proportions is 0.55, and the standard deviation is 0.15.
10
Recal that, for normally distributed data, about 95% of
the data is within 2 standard deviations of the mean.
9
What peroentage of sample praportions are within 2
standard doviations of the rmean for these data? Does
this match what we expect from approximately norrally
distributed data? Explain or snow your reasoning.
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