Information: According to one study, brain weights of men are normally distributed with a mean of 1.50 kg and a standard deviation of 0.14 kg. For samples of 12 men, the possible sample mean brain weights have a normal distribution with a mean of 1.50 kg and a standard deviation of 0.0404 kg.
Problem: Determine the percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.50 kg. Interpret your answer in terms of sampling error.