Elementary Statistics
12th Edition
ISBN: 9780321836960
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 12, Problem 1TP
Chocolate Chips Revisited The Chapter Problem for Chapter 3 includes counts of chocolate chips in cookies from five different brands. The counts were obtained by the author. Use the counts listed in Table 3-1 with technology to conduct a test of the null hypothesis that the brands of Chips Ahoy (regular), Chips Ahoy (chewy). Chips Ahoy (reduced fat), Keebler, and Hannaford have the same
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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 12 Solutions
Elementary Statistics
Ch. 12.2 - In Exercises 1-4, use the following listed chest...Ch. 12.2 - Prob. 2BSCCh. 12.2 - In Exercises 1-4, use the following listed chest...Ch. 12.2 - Prob. 4BSCCh. 12.2 - In Exercises 516, use analysis of variance for the...Ch. 12.2 - In Exercises 516, use analysis of variance for the...Ch. 12.2 - Highway Fuel Consumption Data Set 14 in Appendix B...Ch. 12.2 - City Fuel Consumption Data Set 14 in Appendix B...Ch. 12.2 - Head Injury Crash Test Data Exercises 14 use chest...Ch. 12.2 - Pelvis Injury Crash Test Data Exercises 14 use...
Ch. 12.2 - Prob. 11BSCCh. 12.2 - Prob. 12BSCCh. 12.2 - Prob. 13BSCCh. 12.2 - Prob. 14BSCCh. 12.2 - Prob. 15BSCCh. 12.2 - Prob. 16BSCCh. 12.2 - Tukey Test A display of the Bonferroni test...Ch. 12.3 - Prob. 1BSCCh. 12.3 - Prob. 2BSCCh. 12.3 - Prob. 3BSCCh. 12.3 - Prob. 4BSCCh. 12.3 - Prob. 5BSCCh. 12.3 - Car Crash Tests The following table lists results...Ch. 12.3 - Prob. 7BSCCh. 12.3 - Prob. 8BSCCh. 12.3 - Self-Esteem The following table lists measures of...Ch. 12.3 - Prob. 10BSCCh. 12.3 - Prob. 11BBCh. 12 - Measures of Voltage The author measured voltage...Ch. 12 - Prob. 2CQQCh. 12 - Prob. 3CQQCh. 12 - Prob. 4CQQCh. 12 - Prob. 5CQQCh. 12 - Prob. 6CQQCh. 12 - Prob. 7CQQCh. 12 - Prob. 8CQQCh. 12 - Using the same results given in Exercise 8, does...Ch. 12 - Prob. 1RECh. 12 - Prob. 2RECh. 12 - Tar in Cigarettes Data Set 10 in Appendix B...Ch. 12 - Smoking, Body Temperature, Gender The table below...Ch. 12 - Prob. 1CRECh. 12 - Prob. 2CRECh. 12 - Prob. 3CRECh. 12 - Prob. 4CRECh. 12 - In Exercises 1-5, refer to the following list of...Ch. 12 - Freshman 15: Correlation/Regression listed below...Ch. 12 - Platelets: Normal Distribution Based on Data Set 1...Ch. 12 - Job Priority Survey USA Today reported about an...Ch. 12 - Prob. 9CRECh. 12 - Lottery: Goodness-of-Fit The bars in the histogram...Ch. 12 - Prob. 10CQQCh. 12 - Chocolate Chips Revisited The Chapter Problem for...
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