9.68 Because in the Poisson case, it follows from the Central Limit Theorem that will be approximately

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9.68 Because in the Poisson case, it follows from the Central Limit Theorem that will be approximately normally distributed with mean and variance l>n, for large n.

l X

V(Xi) = l l

l X1 Xn a Use the above facts to construct a largesample confidence interval for .

b Suppose that 100 reinforced concrete trusses were examined for cracks.The average number of cracks per truss was observed to be four.

Construct an approximate 95% confidence interval for the true mean number of cracks per truss for trusses of this type. What assumptions are necessary for your answer to be valid?

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Probability And Statistics For Engineers

ISBN: 9781133006909

5th Edition

Authors: Richard L Scheaffer, Madhuri Mulekar, James T McClave, Cecie Starr

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