STATISTICAL TECHNIQUES FOR BUSINESS AND
STATISTICAL TECHNIQUES FOR BUSINESS AND
17th Edition
ISBN: 9781307261158
Author: Lind
Publisher: MCG/CREATE
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Chapter 16, Problem 6E

a.

To determine

State the null and alternative hypotheses.

b.

To determine

Provide the decision rule.

c.

To determine

Compute the test statistic.

d.

To determine

Provide the decision regarding the null hypothesis.

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1 for all k, and set o (ii) Let X1, X2, that P(Xkb) = x > 0. Xn be independent random variables with mean 0, suppose = and Var Xk. Then, for 0x) ≤2 exp-tx+121 Στ k=1
Lemma 1.1 Suppose that g is a non-negative, non-decreasing function such that E g(X) 0. Then, E g(|X|) P(|X|> x) ≤ g(x)
Proof of this Theorem Theorem 1.2 (i) Suppose that P(|X| ≤ b) = 1 for some b > 0, that E X = 0, and set Var X = o². Then, for 0 0, P(X > x) ≤ e−1x+1²², P(|X|> x) ≤ 2e−x+1² 0²

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STATISTICAL TECHNIQUES FOR BUSINESS AND

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