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The reading on a voltage meter connected to a test circuit

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 12E Chapter 8

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 12E

Problem 12E

The reading on a voltage meter connected to a test circuit is uniformly distributed over the interval (θ, θ + 1), where θ is the true but unknown voltage of the circuit. Suppose that Y1, Y2, . . . , Yn denote a random sample of such readings.

a Show that  is a biased estimator of θ and compute the bias.

b Find a function of  that is an unbiased estimator of θ .

c Find is used as an estimator of θ .

Step-by-Step Solution:
Step 1 of 3

Section 1­ Fund. Facts of Circuit Theory  Definitions o Electricity­ characteristic of the universe that may be used to transmit energy and to transmit information o Charge­ electric charge is a characteristic of electrons and protons  Protons­ positive charge  Electrons­ negative charge  Neutrons­ no charge o Voltage­a measure of the work required to more 1 coulomb of charge btwn 2 points (nodes) in a network o Current­ measure of time rate of flow of electrical charge through a circuit element  Current is through a circuit o Power­ the time rate at which energy is dissipated in a circuit element o Resistance­ the volta

Step 2 of 3

Chapter 8, Problem 12E is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. The full step-by-step solution to problem: 12E from chapter: 8 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. This full solution covers the following key subjects: estimator, Find, voltage, Circuit, Reading. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Since the solution to 12E from 8 chapter was answered, more than 659 students have viewed the full step-by-step answer. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811. The answer to “The reading on a voltage meter connected to a test circuit is uniformly distributed over the interval (?, ? + 1), where ? is the true but unknown voltage of the circuit. Suppose that Y1, Y2, . . . , Yn denote a random sample of such readings.a Show that is a biased estimator of ? and compute the bias.b Find a function of that is an unbiased estimator of ? .c Find is used as an estimator of ? .” is broken down into a number of easy to follow steps, and 81 words.

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The reading on a voltage meter connected to a test circuit