Answered: would make it the NARROWEST out of all…

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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Question

It is always good to have as narrow a confidence interval as possible, because a C.I. is an estimate of a parameter, and a narrower C.I. is a more precise estimate. In lecture we learned three factors that affect the width of a C.I. With all that in mind, which C.I. below has the combination that would make it the NARROWEST out of all four options?

(Hint: compare the answer options to each other two at a time, and do a process of elimination).

A) A C.I. with n=55, 99% level of confidence, s2 = 5.0 (small variance)

B) A C.I. with n=75, 99% level of confidence, s2 = 28.5 (large variance)

C) A C.I. with n=75, 95% level of confidence, s2 = 5.0 (small variance)

D) A C.I. with n=55, 95% level of confidence, s2 = 28.5 (large variance)

Expert Solution

Step 1

It is always good to have as narrow a confidence interval as possible, because a C.I. is an estimate of a parameter, and a narrower C.I. is a more precise estimate

There are three parameters affect the width of interval are