Applied Statistics in Business and Economics
5th Edition
ISBN: 9781259329050
Author: DOANE
Publisher: MCG
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Chapter 15, Problem 1CR
a.
To determine
Find the hypotheses in a chi-square test for independence.
a.
Expert Solution
Explanation of Solution
The test hypotheses are given below:
Null hypothesis:
Alternative hypothesis:
b.
To determine
Explain why it is known as test of frequencies.
b.
Expert Solution
Explanation of Solution
The chi-square test for independence is a test based on frequencies. Thus, it is known as test of frequencies.
c.
To determine
Find the distribution that is used in this test.
c.
Expert Solution
Explanation of Solution
In chi-square test for independence, the shape of the population from which the sample has taken is not specified. Therefore it called distribution free test.
d.
To determine
Find the degrees of freedom for a
d.
Expert Solution
Explanation of Solution
The degrees of freedom for a
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1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
Chapter 15 Solutions
Applied Statistics in Business and Economics
Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Instructions: For each exercise, include software...Ch. 15.1 - Prob. 5SECh. 15.2 - U.S. market share for smartphones with larger...Ch. 15.2 - Prob. 7SECh. 15.3 - Prob. 8SECh. 15.3 - Prob. 9SECh. 15.3 - In a three-digit lottery, each of the three digits...
Ch. 15.3 - Prob. 11SECh. 15.4 - Excel was asked to generate 50 Poisson random...Ch. 15.4 - Prob. 13SECh. 15.4 - Prob. 14SECh. 15.5 - Exam scores of 40 students in a statistics class...Ch. 15.5 - One Friday night, there were 42 carry-out orders...Ch. 15.6 - Prob. 17SECh. 15.6 - Prob. 18SECh. 15 - Prob. 1CRCh. 15 - Prob. 2CRCh. 15 - Prob. 3CRCh. 15 - Prob. 4CRCh. 15 - Prob. 5CRCh. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - (a) Name potential advantages of the...Ch. 15 - (a) What does a probability plot show? (b) If the...Ch. 15 - (a) Name two advantages of the Anderson-Darling...Ch. 15 - Prob. 19CECh. 15 - Prob. 20CECh. 15 - Prob. 21CECh. 15 - Prob. 22CECh. 15 - Prob. 23CECh. 15 - Prob. 24CECh. 15 - Instructions: In all exercises, include software...Ch. 15 - Prob. 26CECh. 15 - Prob. 27CECh. 15 - Prob. 28CECh. 15 - Prob. 29CECh. 15 - Prob. 30CECh. 15 - Prob. 31CECh. 15 - Prob. 32CECh. 15 - Prob. 33CECh. 15 - Prob. 34CECh. 15 - Prob. 35CECh. 15 - Prob. 36CECh. 15 - Prob. 37CECh. 15 - Prob. 38CECh. 15 - Instructions: In all exercises, include software...Ch. 15 - Prob. 40CE
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Chi Square test; Author: Vectors Academy;https://www.youtube.com/watch?v=f53nXHoMXx4;License: Standard YouTube License, CC-BY