When X1, X2,..., Xn are independent Poisson variables, each with parameter , and n is large, the
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Z = - μ / √μ/n
has approximately a standard normal distribution. For testing H0: μ = μ0, we can replace μ by μ0 in the equation for Z to obtain a test statistic. This statistic is actually preferred to the large-sample statistic with denominator S/√n (when the Xi's are Poisson) because it is tailored explicitly to the Poisson assumption. If the number of requests for consulting received by a certain statistician during a 5-day work week has a Poisson distribution and the total number of consulting requests during a 36-week period is 160, does this suggest that the true average number of weekly requests exceeds 4.0? Test using α = .02.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...
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Related Book For
Probability And Statistics For Engineering And The Sciences
ISBN: 9781305251809
9th Edition
Authors: Jay L. Devore
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