Let Y 1 and Y 2 be a random sample of n = 2 observations from a
Question:
Let Y1 and Y2 be a random sample of n = 2 observations from a normal distribution with mean μ and variance σ2.
a. Show that
has a standard normal distribution.
b. Given the result in part a, show that Z2 possesses a χ2 distribution with 1 degree of freedom. First show that S2 = (Y1 - Y2)2/2; then apply Theorem 6.11.
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ANSWER a To show that Z Y1 Y2sqrt2sigma has a standard normal distribution we need to calculate its ...View the full answer
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Related Book For 
Statistics For Engineering And The Sciences
ISBN: 9781498728850
6th Edition
Authors: William M. Mendenhall, Terry L. Sincich
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