Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Textbook Question
Chapter 22.5, Problem 7E
A stratified simple random sample was taken with the following results.
| Stratum (h) |
|
Sh |
|
Nh | nh |
| 1 | 138 | 30 | .50 | 200 | 20 |
| 2 | 103 | 25 | .78 | 250 | 30 |
| 3 | 210 | 50 | .21 | 100 | 25 |
- a. Develop an estimate of the population
mean for each stratum. - b. Develop an approximate 95% confidence interval for the population mean in each stratum.
- c. Develop an approximate 95% confidence interval for the overall population mean.
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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.
Chapter 22 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
Ch. 22.4 - Simple random sampling was used to obtain a sample...Ch. 22.4 - Prob. 2ECh. 22.4 - Prob. 3ECh. 22.4 - Prob. 4ECh. 22.4 - Prob. 5ECh. 22.4 - Prob. 6ECh. 22.5 - A stratified simple random sample was taken with...Ch. 22.5 - Prob. 8ECh. 22.5 - Prob. 9ECh. 22.5 - Prob. 10E
Ch. 22.5 - A drug store chain has stores in four cities: 38...Ch. 22.5 - Prob. 12ECh. 22.5 - Prob. 13ECh. 22.6 - A sample of four clusters is to be taken from a...Ch. 22.6 - A sample of six clusters is to be taken from a...Ch. 22.6 - Prob. 16ECh. 22.6 - Prob. 17ECh. 22 - To assess consumer acceptance of a new series of...Ch. 22 - Prob. 19SECh. 22 - A quality of life survey was conducted with...Ch. 22 - A U.S. Senate Judiciary Committee report showed...Ch. 22 - Refer again to the data in exercise 21. a. Develop...Ch. 22 - Prob. 23SECh. 22 - Prob. 24SE
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