question has several s that must be completed sequentially. you skip a part of the question, you will not receive any points for the skipped part, Tutorial Exercise In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. In addition, there is a weight limit of 2,700 pounds. Assume that the average weight of students, faculty, and staff on campus is 165 pounds, that the standard deviation is 31 pounds, and that the distribution of weights of individuals on campus is approximately normal. Suppose a random sample of 16 persons from the campus will be selected. (a) What is the mean of the sampling distribution of X? (b) What is the standard deviation of the sampling distribution of X? (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,700 pounds? (d) What is the probability that a random sample of 16 people will exceed the weight limit? Step 1 (a) What is the mean of the sampling distribution of x? to come back to the skipped part. We are given that the average weight of students, faculty, and staff at a college is - 165 pounds, that the standard deviation is a 31 pounds, and that the distribution We are asked to determine the mean for the sampling distribution of the sample mean, x, for a random sample of size n - 16. Recall the general property of the sampling distribution X: the mean is μμ. Therefore, weights of individuals on campus is approximately normal.

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