Answer to Question #210187 in Statistics and Probability for bareera

Question #210187

There is a notice in a lift saying that the maximum weight allowed is 1200 kg.The weights of passengers are normally distributed with mean of 76 kg and a standard deviation of 9.5 kg 15 passenger get into the lift. (a) Calculate the mean and standard deviation of the total weights of 15 passengers.


1
Expert's answer
2021-06-25T07:07:24-0400

μ=76,σ=9.5\mu=76,\sigma=9.5


Maximum weight allowed=1200 kg


(a) n=15,


Sample mean xˉ=μ=76kg\bar{x}=\mu=76kg


Sample standard deviation s=σn=9.515=2.452kgs=\dfrac{\sigma}{\sqrt{n}}=\dfrac{9.5}{\sqrt{15}}=2.452 kg



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