An elevator at a college has a posted weight limit of 2,700 pounds, and a maximum capacity of 16 people. We determined that if the sample mean x > 168.75 for a particular sample of 16 people, then the weight capacity will be exceeded. We are asked to determine the probability that a random sample of 16 people will exceed the weight limit.
Question 908284: Could 10 people safely ride in an elevator that had a weight limit of 1500 lbs. if the average weight of the six men were 180 and the average weight of the four women were 125 pounds? Find the average weight of all 10 riders. Answer by richwmiller(17219) (Show Source):
An elevator has a maximum occupancy of 16 people and a weight limit of 2500 lba. The average weight of the population is 150 lbs, with a standard deviation of 27 lbs, and the distribution of weight in the population is approximately normal. Suppose that a random sample of size 16 people is chosen.

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record where not established by law. This term includes the average level of the surface of the ground. Gravity elevator—A freight elevator used for lowering materials in a car, cage, or platform through a shaftway, the operation of which is accomplished by the excess weight of the car, cage or platform and the load over the car counterweights.
Engineers are designing a large elevator that will accommodate 42 people. The maximum weight the elevator can hold safely is 8148 pounds. According to a government health agency, the weights of adult men have a mean of 188 pounds and a standard deviation of 63 pounds, and the weights of adult women have a mean of 165 pounds and a standard deviation of 72 pounds.
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average weight limit for elevator