(Answered) A sign at a university campus elevator indicates a

Statistics

A sign at a university Campus elevator indicates a 16-person limit as well as a weight limit of 2500 pounds. Suppose that the weights of students, faculty, and staff are approximately normally distributed with a mean weight of 150 pounds and a standard deviation of 40 pounds. What is the probability that a random sample of 16 people in the elevator will exceed the weight limit?

(Clue: think about what exceeding the weight limit would tell you about the sample average across these 16 people).

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