would make it the NARROWEST out of all four options?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 20PFA
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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)
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