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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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Statistics

Let Y denote the monthly stipend (in hundreds of dollars) of a randomly selected graduate
student receiving a fellowship. Suppose Y follows a uniform distribution on the interval
[500,500 +0], where > 0. The probability density function is given by:
f(y; 0) = {1/0,
500 ≤ y ≤ 500+ 0
otherwise
A random sample of n students is collected, Y₁, Y2,, Y.
(a)
Use the method of moments to obtain an estimator of 0, denoted Ô.
(b)
Compute E(). Is Ô an unbiased estimator for ?

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