Only need c) explained .(c) There is a filter that can reduce the variance of the noise to 1. If the daily cost of the filter is $1 and the daily cost of each additional redundant signal (above 16) is $0.01, which of the following options is more economical?• Buy the filter and add redundant signals if needed to achieve a margin of error of 0.2• Do not buy the filter, but add redundant signals to achieve a margin of error of 0.2 (1) ' Suppose when a signal having unknown value u is transmitted from node A, the value receivedat node B is normally distributed with mean u and variance 5. In other words, when the signalis sent, then its value received is u+ W where W represents a Gaussian noise with mean 0and variance 5. To reduce an error, suppose 16 redundant signals of the same value u are sent.Upon their receipt at node B, their values were recorded as2 4 7 3 12 11 5 6 16 14 1 3 9 2 4 1(a) Construct a 95% confidence interval for µ.(b) How large must n be so that the confidence interval has a margin of error of 0.2?(c) There is a filter that can reduce the variance of the noise to 1. If the daily cost of the filteris $1 and the daily cost of each additional redundant signal (above 16) is $0.01, which ofthe following options is more economical?• Buy the filter and add redundant signals if needed to achieve a margin of error of 0.2Do not buy the filter, but add redundant signals to achieve a margin of error of 0.2

Answered: Only need c) explained . (c) There is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Only need c) explained .

(c) There is a filter that can reduce the variance of the noise to 1. If the daily cost of the filter is $1 and the daily cost of each additional redundant signal (above 16) is $0.01, which of the following options is more economical?
• Buy the filter and add redundant signals if needed to achieve a margin of error of 0.2
• Do not buy the filter, but add redundant signals to achieve a margin of error of 0.2

(1) ' Suppose when a signal having unknown value u is transmitted from node A, the value received
at node B is normally distributed with mean u and variance 5. In other words, when the signal
is sent, then its value received is u+ W where W represents a Gaussian noise with mean 0
and variance 5. To reduce an error, suppose 16 redundant signals of the same value u are sent.
Upon their receipt at node B, their values were recorded as
2 4 7 3 12 11 5 6 16 14 1 3 9 2 4 1
(a) Construct a 95% confidence interval for µ.
(b) How large must n be so that the confidence interval has a margin of error of 0.2?
(c) There is a filter that can reduce the variance of the noise to 1. If the daily cost of the filter
is $1 and the daily cost of each additional redundant signal (above 16) is $0.01, which of
the following options is more economical?
• Buy the filter and add redundant signals if needed to achieve a margin of error of 0.2
Do not buy the filter, but add redundant signals to achieve a margin of error of 0.2

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