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Summary data on daily caffeine consumption for a sample of adult women is the following: n...

Summary data on daily caffeine consumption for a sample of adult women is the following: n = 36, = 215 mg. Assume the population is normally distributed with standard deviation is σ = 12 mg.

What sample size would you need to estimate the mean caffeine consumption within 4 milligrams with 95% confidence?

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Answer #1

Solution :

Z\alpha/2 = Z0.025 = 1.96  

sample size = n = [Z\alpha/2* \sigma / E] 2

n = [1.96 * 12 / 4 ]2

n = 34.57

Sample size = n = 35

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