SOLUTION: The cars on the Kiddie-Coaster at StatPark seat eight children each, and the weights of the children who ride the Kiddie-Coaster are normally distributed with a mean of 105 pounds
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-> SOLUTION: The cars on the Kiddie-Coaster at StatPark seat eight children each, and the weights of the children who ride the Kiddie-Coaster are normally distributed with a mean of 105 pounds
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Question 1186968: The cars on the Kiddie-Coaster at StatPark seat eight children each, and the weights of the children who ride the Kiddie-Coaster are normally distributed with a mean of 105 pounds and a standard deviation of 23 pounds.
Assuming each carload is a random sample of eight children, find the total weight that separates the lightest 5% of the Kiddie-Coaster carloads from the rest.
Round your answer to the nearest tenth of a pound. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! the average weight of the sample is 105 lb with a sd of 23/sqrt(8)=8.13 lb
or
the total weight distribution is 840 pounds with a sd of 23*sqrt*(8)=65.05 lb
-1.645=(x-840)/65.05
-107.0 lb=x-840
x=733.0 pounds
