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Type I error and Type II error:
Let X1, X2, X3, X4 be a random sample from a Poisson distribution with parameter λ and let Y = X1 + X2 + X3 + X4. You decide to test λ = 1.60 versus λ < 1.60 using following decision rule:
Reject λ = 1.60 in favor of λ < 1.60 when Y ≤ 2.
a. Find the Type I error, α.
b. Find the Type II error, β, when λ = 0.70.
MATH1550H: Assignment: Question: what is the least number of applicants that should be interviewed so as to have at least 50% chance of finding one such secretary?
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