Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
4th Edition
ISBN: 9780321869852
Author: Richard D. De Veaux
Publisher: PEARSON
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Chapter 19, Problem 47E
a.
To determine
Write the alternative hypotheses.
b.
To determine
Explain the decision based on the spinning the coin when the outcome of spin is tails.
c.
To determine
Explain how large the significance level
d.
To determine
Explain how large the power of the test in this case.
e.
To determine
Explain the way to decrease the type-I error and increase the power of the test at the same time.
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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 19 Solutions
Intro STATS, Books a la Carte Plus New Mystatlab with Pearson Etext -- Access Card Package
Ch. 19.4 - 1. An experiment to test the fairness of a...Ch. 19.4 - Prob. 2JCCh. 19.4 - Prob. 3JCCh. 19.5 - Remember the bank thats sending out DVDs to try to...Ch. 19.5 - Prob. 5JCCh. 19.5 - For the bank, which situation has higher power: a...Ch. 19 - Parameters and hypotheses For each of the...Ch. 19 - Prob. 2ECh. 19 - P-values Which of the following are true? If...Ch. 19 - Prob. 4E
Ch. 19 - Prob. 5ECh. 19 - Prob. 6ECh. 19 - Prob. 7ECh. 19 - Prob. 8ECh. 19 - Prob. 9ECh. 19 - More critical values For each of the following...Ch. 19 - SECTION 16.4 11. Errors For each of the following...Ch. 19 - More errors For each of the following situations,...Ch. 19 - Prob. 13ECh. 19 - 14. Which alternative? In each of the following...Ch. 19 - CHAPTER EXERCISES 13. P-value A medical researcher...Ch. 19 - Prob. 16ECh. 19 - Alpha A researcher developing scanners to search...Ch. 19 - Prob. 18ECh. 19 - Prob. 19ECh. 19 - Significant again? A new reading program may...Ch. 19 - Prob. 21ECh. 19 - Is the Euro fair? Soon after the Euro was...Ch. 19 - 23. Approval 2011 In November 2011, Barack Obama’s...Ch. 19 - Prob. 24ECh. 19 - Prob. 25ECh. 19 - Prob. 26ECh. 19 - Prob. 27ECh. 19 - Prob. 28ECh. 19 - Prob. 29ECh. 19 - Prob. 30ECh. 19 - 31. Homeowners 2009 In 2009, the U.S. Census...Ch. 19 - Alzheimers Testing for Alzheimers disease can be a...Ch. 19 - Prob. 33ECh. 19 - Quality control Production managers on an assembly...Ch. 19 - Prob. 35ECh. 19 - 36. Production Consider again the task of the...Ch. 19 - Equal opportunity? A company is sued for job...Ch. 19 - Stop signs Highway safety engineers test new road...Ch. 19 - Prob. 39ECh. 19 - Ads A company is willing to renew its advertising...Ch. 19 - 41. Software, part II 203 students signed up for...Ch. 19 - Prob. 42ECh. 19 - Prob. 43ECh. 19 - Catheters During an angiogram, heart problems can...Ch. 19 - Prob. 45ECh. 19 - Prob. 46ECh. 19 - Prob. 47ECh. 19 - Faulty or not? You are in charge of shipping...Ch. 19 - Prob. 49ECh. 19 - Prob. 50E
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