SOLUTION: An elevator has a placard stating that the maximum capacity is 2370 lb/15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2370 divided by 15 equals
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-> SOLUTION: An elevator has a placard stating that the maximum capacity is 2370 lb/15 passengers.​ So, 15 adult male passengers can have a mean weight of up to 2370 divided by 15 equals
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Question 1125245: An elevator has a placard stating that the maximum capacity is 2370 lb/15 passengers. So, 15 adult male passengers can have a mean weight of up to 2370 divided by 15 equals 158 pounds. If the elevator is loaded with 15 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 158 lb. (Assume that weights of males are normally distributed with a mean of 162 lb and a standard deviation of 28 lb.) Does this elevator appear to be safe? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=(xbar-mean)/sigma/sqrt(n)
=(158-162)/28/sqrt(15)
=-4/7.23
z>-0.55, which has a probability being overloaded of 0.7088
Samples of 15 men have an average weight of 162 with a sd of 7.23
Therefore, it is more likely than not that an elevator with 15 men will be overloaded.
