EP STAT.F/PSYCHOLOGY-MYLAB W/ETEXT
EP STAT.F/PSYCHOLOGY-MYLAB W/ETEXT
6th Edition
ISBN: 9780205847112
Author: Aron
Publisher: PEARSON CO
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Chapter 11, Problem 4PP

a.

To determine

Construct a scatter diagram of the scores of partner’s self-disclosure and liking for partner.

b.

To determine

Explain the general pattern of correlation in words.

c.

To determine

Find the correlation coefficient.

d.

To determine

Explain whether the correlation is statistically significant by using the 0.05 significance level and two-tailed.

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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.
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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