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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Question

A normal population has a known mean of 50 and 
unknown variance.
(a) A random sample of n = 16 is selected from this population, and the sample results are x = 52 and s = 8. How 
unusual are these results? That is, what is the probability of 
observing a sample average as large as 52 (or larger) if the 
known, underlying mean is actually 50?
(b) A random sample of n = 30 is selected from this population, and the sample results are x = 52 and s = 8. How 
unusual are these results?
(c) A random sample of n = 100 is selected from this population, and the sample results are x = 52 and s = 8. How 
unusual are these results?
(d) Compare your answers to parts (a)–(c) and explain why 
they are the same or different.

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