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Sampling Distribution of the Sample Mean and Central Limit Theorem
7. Sampling Distributions & Confidence Intervals: Mean / Sampling Distribution of the Sample Mean and Central Limit Theorem / Problem 8
Problem 8

A university claims that the average weight of textbooks for its engineering students is 7.57.5 pounds. A random sample of 3636 engineering students' textbook weights is taken, yielding a sample mean of 6.86.8 pounds. If the population standard deviation is known to be 1.81.8 pounds, what is the probability of obtaining a sample mean of 6.86.8 pounds or less?