Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 13.6, Problem 11BSC
To determine
To test: The claim that there is 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.
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 13 Solutions
Elementary Statistics
Ch. 13.2 - Prob. 1BSCCh. 13.2 - Prob. 2BSCCh. 13.2 - Prob. 3BSCCh. 13.2 - Prob. 4BSCCh. 13.2 - Prob. 5BSCCh. 13.2 - Prob. 6BSCCh. 13.2 - Prob. 7BSCCh. 13.2 - Prob. 8BSCCh. 13.2 - Prob. 9BSCCh. 13.2 - Prob. 10BSC
Ch. 13.2 - In Exercises 9-12, use the sign test for the data...Ch. 13.2 - Prob. 12BSCCh. 13.2 - Prob. 13BSCCh. 13.2 - In Exercises 13-16, use the sign test for the...Ch. 13.2 - Prob. 15BSCCh. 13.2 - In Exercises 13-16, use the sign test for the...Ch. 13.2 - Appendix B Data Sets.In Exercises 13-16, refer to...Ch. 13.2 - Prob. 18BSCCh. 13.2 - Appendix B Data Sets.In Exercises 17-20, refer to...Ch. 13.2 - Appendix B Data Sets.In Exercises 17-20, refer to...Ch. 13.2 - Procedures for Handling Ties In the sign test...Ch. 13.2 - Prob. 22BBCh. 13.3 - Wilcoxon Signed-Ranks Test for Freshman 15 The...Ch. 13.3 - Prob. 2BSCCh. 13.3 - Prob. 3BSCCh. 13.3 - Prob. 4BSCCh. 13.3 - Prob. 5BSCCh. 13.3 - Prob. 6BSCCh. 13.3 - Using the Wilcoxon Signed-Ranks Test.In Exercises...Ch. 13.3 - Prob. 8BSCCh. 13.3 - Prob. 9BSCCh. 13.3 - Prob. 10BSCCh. 13.3 - Appendix B Data Sets.In Exercises 9-12, refer to...Ch. 13.3 - Prob. 12BSCCh. 13.3 - Prob. 13BBCh. 13.4 - Prob. 1BSCCh. 13.4 - Prob. 2BSCCh. 13.4 - Prob. 3BSCCh. 13.4 - Prob. 4BSCCh. 13.4 - Prob. 5BSCCh. 13.4 - Prob. 6BSCCh. 13.4 - Prob. 7BSCCh. 13.4 - Prob. 8BSCCh. 13.4 - Prob. 9BSCCh. 13.4 - Prob. 10BSCCh. 13.4 - Prob. 11BSCCh. 13.4 - Prob. 12BSCCh. 13.4 - Prob. 13BBCh. 13.4 - Prob. 14BBCh. 13.5 - Effect of Lead on IQ Score Listed below are full...Ch. 13.5 - Prob. 2BSCCh. 13.5 - Notation For the data given in Exercise 1,...Ch. 13.5 - Prob. 4BSCCh. 13.5 - Prob. 5BSCCh. 13.5 - Prob. 6BSCCh. 13.5 - Prob. 7BSCCh. 13.5 - Using tho Kruskal-Wallis Test.In Exercises 5-8,...Ch. 13.5 - Prob. 9BSCCh. 13.5 - Prob. 10BSCCh. 13.5 - Prob. 11BSCCh. 13.5 - Car Crash Measurements Refer to Data See 13 in...Ch. 13.5 - Prob. 13BBCh. 13.6 - Regression If the methods of this section arc used...Ch. 13.6 - Level of Measurement Which of the levels of...Ch. 13.6 - Prob. 3BSCCh. 13.6 - Prob. 4BSCCh. 13.6 - Prob. 5BSCCh. 13.6 - Prob. 6BSCCh. 13.6 - Prob. 7BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 7-12,...Ch. 13.6 - Prob. 9BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 7-12,...Ch. 13.6 - Prob. 11BSCCh. 13.6 - Prob. 12BSCCh. 13.6 - Appendix B Data Sets. In Exercises 13-16, use the...Ch. 13.6 - Prob. 14BSCCh. 13.6 - Appendix B Data Sets. In Exercises 13-16, use the...Ch. 13.6 - Prob. 16BSCCh. 13.6 - Prob. 17BBCh. 13.7 - Prob. 1BSCCh. 13.7 - Prob. 2BSCCh. 13.7 - Prob. 3BSCCh. 13.7 - Prob. 4BSCCh. 13.7 - Prob. 5BSCCh. 13.7 - Prob. 6BSCCh. 13.7 - Prob. 7BSCCh. 13.7 - Prob. 8BSCCh. 13.7 - Prob. 9BSCCh. 13.7 - Baseball World Series Victories Test the claim...Ch. 13.7 - Prob. 11BSCCh. 13.7 - Prob. 12BSCCh. 13 - Prob. 1CQQCh. 13 - Prob. 2CQQCh. 13 - Prob. 3CQQCh. 13 - Prob. 4CQQCh. 13 - Prob. 5CQQCh. 13 - Prob. 6CQQCh. 13 - Prob. 7CQQCh. 13 - Prob. 8CQQCh. 13 - Prob. 9CQQCh. 13 - Sign Test Identify three different applications of...Ch. 13 - Prob. 1RECh. 13 - Prob. 2RECh. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Using Nonparametric Tests. In Exercises 110, use a...Ch. 13 - Prob. 7RECh. 13 - Prob. 8RECh. 13 - Prob. 9RECh. 13 - Prob. 10RECh. 13 - Prob. 1CRECh. 13 - Please be aware that some of the following...Ch. 13 - Prob. 3CRECh. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - Prob. 6CRECh. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Prob. 9CRECh. 13 - Prob. 10CRECh. 13 - Prob. 11TPCh. 13 - Prob. 10FDD
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