MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Estimation
A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.
Question

Generate 20 random samples, each of size n=30, from a normal distribution with mean = 100 and standard deviation = 15. For each sample, compute a 95% confidence interval for the mean, assuming that the standard deviation is known. 

(a) How many intervals do you expect to cover the true value 100 of the mean?

(b) Before you generate the samples, what is the probability that your first interval will include the true value of the mean?

(c) Before you generate the samples, what is the probability that at least 19 of your calculated intervals will contain the true value of the mean?

(c) How many intervals you calculated actually contain the true value of the mean?

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