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Standard Deviation from a Confidence Interval

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In a study comparing calcium absorption from two different supplements, 18 participants each tried both. The sample mean difference in absorption was 42 mg, and a 95% confidence interval for the true mean difference is (32 mg, 52 mg). Based on this interval, what is the sample standard deviation of the differences?

A

s ≈ 4.7 mg

B

s ≈ 10 mg

C

s cannot be determined from this information

D

s ≈ 20.4 mg

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