# An experimenter takes a sample of size 1 from the Poisson probability model, p X (k) =

## Question:

An experimenter takes a sample of size 1 from the Poisson probability model, p_{X}(k) = e^{−λ}λ^{k}/k!, k = 0, 1, 2, . . . , and wishes to test

H_{0}: λ = 6

versus

H_{1}: λ < 6

by rejecting H_{0} if k ≤ 2.

(a) Calculate the probability of committing a Type I error.

(b) Calculate the probability of committing a Type II error when λ = 4.

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**Related Book For**

## Introduction To Mathematical Statistics And Its Applications

**ISBN:** 9780321693945

5th Edition

**Authors:** Richard J. Larsen, Morris L. Marx