Check that the random variables Q1 = X and Q 2 = n(X ) are
Question:
Check that the random variables Q1 = X̅ −θ and Q2 = √n(X̅ − θ) are both valid pivots in Example 8.13.
Example 8.13:
Let X1, X2, X3, . . ., Xn be a random sample from a normal distribution N(θ, 1). Find a 95% confidence interval for θ.
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Step by Step Answer:
We note that Q1 and Q2 by definitions are functions of X and 0 Since X1 XXn ...View the full answer
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Related Book For 
Introduction To Probability Statistics And Random Processes
ISBN: 9780990637202
1st Edition
Authors: Hossein Pishro-Nik
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