Statistics for The Behavioral Sciences (MindTap Course List)
10th Edition
ISBN: 9781305504912
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 18, Problem 13P
To determine
a. For the 186 males in the study, however, 25 of the 27 correlations were positive. Is this significantly more than would be expected if positive and
b. For the 201 females in the study, 20 of the 27 correlations were positive. Is this significantly more than would be expected if positive and negative correlations were equally likely? Use a two-tailed test with
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Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and
set Var X = 0². Then, for 0 0,
P(X > x) ≤e-x+1²²
P(|X|>x) ≤2e-1x+1²²
(ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose
that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for
x > 0.
and
0x) ≤2 exp
Σ
k=1
(iii) If, in addition, X1, X2, X, are identically distributed, then
P(S|x) ≤2 expl-tx+nt²o).
Theorem 5.1 (Jensen's inequality)
state without proof the Jensen's Ineg.
Let X be a random variable, g a convex function, and suppose that X and g(X) are
integrable. Then
g(EX) < Eg(X).
Chapter 18 Solutions
Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 18 - 1. Insurance companies charge young drivers more...Ch. 18 - 2. Güven, Elaimis, Binokay, and Tan (2003) studied...Ch. 18 - In problem 9 in Chapter 17, we described a study...Ch. 18 - 4. Problems 5 and 6 in Chapter 17 cited a study...Ch. 18 - 5. A researcher would like to determine whether...Ch. 18 - 6. A recent survey of practicing psychotherapists...Ch. 18 - 7. In 2005, Fung et al. published a study...Ch. 18 - 8. In problem 13 in Chapter 9, wepresented a study...Ch. 18 - Prob. 9PCh. 18 - Prob. 10P
Ch. 18 - Prob. 11PCh. 18 - 12. One of the original methods for testing ESP...Ch. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - 15. In Example 11.2 (p. 343) we presented a...Ch. 18 - Stressful or traumatic experiences can often...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 19PCh. 18 - In Problem 14 in Chapter 11, we described a study...Ch. 18 - In problem 13 in Chapter 17, we Discussed a study...Ch. 18 - Prob. 22PCh. 18 - Prob. 23PCh. 18 - Prob. 24PCh. 18 - Prob. 25P
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