Now change the 'Normal' choice to 'Exponential' This changes the underlying population from one that has a normal distribution to one that is very not normal. Change the sample size to 5 and run samples. a. How well do the 95% confidence intervals do at capturing the true population mean when samples sizes are small? b. Now change the sample size to 40 and run samples. Does a larger sample size mean that the intervals are more likely to capture the true population value? Why? Note THIS is an important concept and relates back to the Sampling Distribution of Sample Means and how the SDSM changes as sample size increases when the population is not normal.

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Now change the 'Normal' choice to 'Exponential' This changes the underlying population from one
that has a normal distribution to one that is very not normal. Change the sample size to 5 and run
samples.
a. How well do the 95% confidence intervals do at capturing the true population mean when samples
sizes are small?
b. Now change the sample size to 40 and run samples. Does a larger sample size mean that the intervals
are more likely to capture the true population value? Why? Note THIS is an important concept and
relates back to the Sampling Distribution of Sample Means and how the SDSM changes as sample size
increases when the population is not normal.
Transcribed Image Text:Now change the 'Normal' choice to 'Exponential' This changes the underlying population from one that has a normal distribution to one that is very not normal. Change the sample size to 5 and run samples. a. How well do the 95% confidence intervals do at capturing the true population mean when samples sizes are small? b. Now change the sample size to 40 and run samples. Does a larger sample size mean that the intervals are more likely to capture the true population value? Why? Note THIS is an important concept and relates back to the Sampling Distribution of Sample Means and how the SDSM changes as sample size increases when the population is not normal.
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