61% confidence level would produce the widest interval since it is the highest.
Confidence interval
Z score is used to determine by how many standard deviation the raw score is above or below the mean.
Confidence interval is given by: mean ± margin of error
The margin of error is given by: [tex]z_\frac{\alpha }{2}* \frac{standard\ deviation}{\sqrt{sample\ size} }[/tex]
The confidence interval is dependent on the margin of error which also depends on the z score of the confidence level, hence the interval increases as the confidence level increases.
61% confidence level would produce the widest interval since it is the highest.
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