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?    Group of answer choices   A C.I. with n=55, 99% level of confidence, s = 20.4 (large standard deviation)   A C.I. with n=55, 95% level of confidence, s = 2.1 (small standard deviation)   A C.I. with n=45, 99% level of confidence, s = 2.1 (small standard deviation)   A C.I. with n=45, 95% level of confidence, s = 20.4 (large standard deviation)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
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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? 

 

Group of answer choices
 
A C.I. with n=55, 99% level of confidence, s = 20.4 (large standard deviation)
 
A C.I. with n=55, 95% level of confidence, s = 2.1 (small standard deviation)
 
A C.I. with n=45, 99% level of confidence, s = 2.1 (small standard deviation)
 
A C.I. with n=45, 95% level of confidence, s = 20.4 (large standard deviation)
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