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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Textbook Question
Chapter 4, Problem 19P
The
- Compute the range (choose either definition) and the standard deviation for the following sample of n = 5 scores. Note that there are three score clustered around the mean in the center of the distribution and two extreme values. Scores: 0, 6, 7, 8, 14.
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Three players (one divider and two choosers) are going to divide a cake fairly using the lone divider method. The divider cuts the cake into three slices (s1, s2, and s3).
If the choosers' declarations are Chooser 1: {s1 , s2} and Chooser 2: {s2 , s3}.
Using the lone-divider method, how many different fair divisions of this cake are possible?
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).
Chapter 4 Solutions
Statistics for The Behavioral Sciences (MindTap Course List)
Ch. 4 - In words, explain what is measured by SS,...Ch. 4 - Is it possible to obtain a negative value for the...Ch. 4 - Describe the scores in a sample that has standard...Ch. 4 - There are two different formulas or methods that...Ch. 4 - Calculate the mean and S,S (sum of squared...Ch. 4 - Calculate ss, variance and standard deviation for...Ch. 4 - Calculate ss. variance and standMd deviation for...Ch. 4 - For the foUow.ing population of N=6 score: l...Ch. 4 - For the fol1owing set of scores: 1, 4, 3, 5, 7 a....Ch. 4 - Prob. 10P
Ch. 4 - For the fol1owing sample of n = 6 scores: 0, 11, 5...Ch. 4 - 12. Calculate SS, variance and standard deviation...Ch. 4 - Prob. 13PCh. 4 - A population has a mean of µ = 50 and a standard...Ch. 4 - a. After 6 points have been added to every score...Ch. 4 - 16. Compute the mean and standard deviation for...Ch. 4 - For the following sample of n = 8 scores: 0, 1, ½,...Ch. 4 - For the following population of N=6 scores...Ch. 4 - The range is completely determined by the two...Ch. 4 - For the data in the following sample: ,6,8,6,5...Ch. 4 - 21 . Within a population. the differences that...Ch. 4 - Wegesin and Stern (2004) found greater consistency...Ch. 4 - A population has a mean of =50 and a standard...Ch. 4 - On an exam with a mean of M=78 , you obtain a...
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