Gen Combo Ll Statistical Techniques In Business And Economics; Connect Ac
Gen Combo Ll Statistical Techniques In Business And Economics; Connect Ac
17th Edition
ISBN: 9781260149623
Author: Lind
Publisher: MCG
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Chapter 17, Problem 40CE
To determine

Develop a simple aggregate price index for 2016 using 2000 as the base period.

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Write a Regression summary explaining significance of mode, explaining regression coefficients, significance of the independent variables, R and R square. Premiums earned Net income Dividends Underwriting Gain/ Loss 30.2 1.6 0.6 0.1 47.2 0.6 0.7 -3.6 92.8 8.4 1.8 -1.5 95.4 7.6 2 -4 100.4 6.3 2.2 -8.1 104.9 6.3 2.4 -10.8 113.2 2.2 2.3 -18.2 130.3 3.0 2.4 -21.4 161.9 13.5 2.3 -12.8 182.5 14.9 2.9 -5.9 193.3 11.7 2.9 -7.6
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.
In a town with 5000 adults, a sample of 50 is selected using SRSWOR and asked their opinion of a proposed municipal project; 30 are found to favor it and 20 oppose it. If, in fact, the adults of the town were equally divided on the proposal, what would be the probability of observing what has been observed? Approximate using the Binomial distribution. Compare this with the exact probability which is 0.0418.
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