(Answered) Determine the percentage of all samples

Statistics

Problem: Brain Weights. In 1905, R. Pearl published the article "Biometrical Statistics on Man. I. Variation and Correlation in Brain Weight" (Biometrika, Vol. 4, pp. 13 - 104). According to the study, brain weights of Swedish men are normally distributed with a mean of 1.40 kg and a standard deviation of 0.11 kg.

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Question: Determine the percentage of all samples of three Swedish men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.40 kg. Interpret your answer in terms of sampling error. Provide your rationale and any supporting data.

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