Problem

Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population?
A. $95 \%$
B. $90 \%$
C. $80 \%$
D. $70 \%$

Answer

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Answer

\(\boxed{95\%}\) produces the widest interval

Steps

Step 1 :Calculate the Z-scores for each confidence level: 95%, 90%, 80%, and 70%

Step 2 :Compare the Z-scores and find the highest one

Step 3 :\(\boxed{95\%}\) produces the widest interval

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