Essential Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781506386300
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 8, Problem 17CAP
(a)
To determine
To explain what would the decision be for a hypothesis if the null hypothesis is as shown.
(b)
To determine
To explain what would the decision be for a hypothesis if the null hypothesis is as shown.
(c)
To determine
To explain what would the decision be for a hypothesis if the null hypothesis is as shown.
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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
Chapter 8 Solutions
Essential Statistics for the Behavioral Sciences
Ch. 8 - Prob. 1FPCh. 8 - Prob. 2FPCh. 8 - Prob. 3FPCh. 8 - Prob. 4FPCh. 8 - Prob. 5FPCh. 8 - Prob. 6FPCh. 8 - Prob. 7FPCh. 8 - Prob. 8FPCh. 8 - Prob. 9FPCh. 8 - Prob. 10FP
Ch. 8 - Prob. 11CAPCh. 8 - Prob. 12CAPCh. 8 - Prob. 13CAPCh. 8 - Prob. 14CAPCh. 8 - Prob. 15CAPCh. 8 - Prob. 16CAPCh. 8 - Prob. 17CAPCh. 8 - Prob. 18CAPCh. 8 - Prob. 19CAPCh. 8 - Prob. 20CAPCh. 8 - Prob. 21CAPCh. 8 - Prob. 22CAPCh. 8 - Prob. 23CAPCh. 8 - Prob. 24CAPCh. 8 - Prob. 25CAPCh. 8 - Prob. 26CAPCh. 8 - Prob. 27PRCh. 8 - Prob. 28PRCh. 8 - Prob. 29PRCh. 8 - Prob. 30PRCh. 8 - Prob. 31PRCh. 8 - Prob. 32PR
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