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Minimizing Confidence Interval Width

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A study is conducted to compare two medications using independent samples with sizes n₁ = 40 and n₂ = 20. If 20 additional subjects are to be added to the study, which of the following allocation strategies would produce the narrowest confidence interval for the difference between the population means?

A

Add 10 subjects to each sample

B

Add all 20 subjects to the first sample

C

Add all 20 subjects to the second sample

D

All approaches produce identical interval widths

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