Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
8th Edition
ISBN: 9781464158933
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 9, Problem 34E
(a)
To determine
The null and alternative hypothesis.
(b)
To determine
To test: The significance test.
(c)
To determine
The summary of the obtained result.
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(d) Show that A, and A' are tail events.
11. (a) Define the (mathematical and conceptual) definition of conditional probability
P(A|B).
(b) Explain the product law in conditional probability.
(c) Explain the relation between independence and the conditional probability of
two sets.
12. (a) Explain tail events and the tail o-field. Give an example.
(b) State (without proof) the Kolmogorov zero-one law.
Chapter 9 Solutions
Introduction to the Practice of Statistics: w/CrunchIt/EESEE Access Card
Ch. 9.1 - Prob. 1UYKCh. 9.1 - Prob. 2UYKCh. 9.1 - Prob. 3UYKCh. 9.1 - Prob. 4UYKCh. 9.1 - Prob. 5UYKCh. 9.1 - Prob. 6UYKCh. 9.1 - Prob. 7UYKCh. 9.1 - Prob. 8UYKCh. 9.1 - Prob. 9UYKCh. 9.1 - Prob. 10UYK
Ch. 9.1 - Prob. 11UYKCh. 9.1 - Prob. 12UYKCh. 9.1 - Prob. 13UYKCh. 9.1 - Prob. 14UYKCh. 9.2 - Prob. 15UYKCh. 9.2 - Prob. 16UYKCh. 9.2 - Prob. 17UYKCh. 9.2 - Prob. 18UYKCh. 9.2 - Prob. 19UYKCh. 9 - Prob. 50ECh. 9 - Prob. 51ECh. 9 - Prob. 20ECh. 9 - Prob. 27ECh. 9 - Prob. 28ECh. 9 - Prob. 29ECh. 9 - Prob. 22ECh. 9 - Prob. 31ECh. 9 - Prob. 32ECh. 9 - Prob. 37ECh. 9 - Prob. 38ECh. 9 - Prob. 39ECh. 9 - Prob. 40ECh. 9 - Prob. 41ECh. 9 - Prob. 42ECh. 9 - Prob. 49ECh. 9 - Prob. 52ECh. 9 - Prob. 53ECh. 9 - Prob. 54ECh. 9 - Prob. 55ECh. 9 - Prob. 21ECh. 9 - Prob. 23ECh. 9 - Prob. 24ECh. 9 - Prob. 25ECh. 9 - Prob. 26ECh. 9 - Prob. 30ECh. 9 - Prob. 33ECh. 9 - Prob. 34ECh. 9 - Prob. 35ECh. 9 - Prob. 36ECh. 9 - Prob. 43ECh. 9 - Prob. 44ECh. 9 - Prob. 45ECh. 9 - Prob. 46ECh. 9 - Prob. 47ECh. 9 - Prob. 48E
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- 24. A factory produces items from two machines: Machine A and Machine B. Machine A produces 60% of the total items, while Machine B produces 40%. The probability that an item produced by Machine A is defective is P(D|A)=0.03. The probability that an item produced by Machine B is defective is P(D|B) = 0.05. (a) What is the probability that a randomly selected product be defective, P(D)? (b) If a randomly selected item from the production line is defective, calculate the probability that it was produced by Machine A, P(A|D).arrow_forward13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when X is a random variable.arrow_forward(b) Prove that if ACBC (A), then (A)=(B).arrow_forward
- 1. Let 2 (a, b, c} be the sample space. the power sot of O (c) Show that F= {0, 2, {a, b}, {b, c}, {b}} is not a σ-field. Add some elements to make it a σ-field.arrow_forward5. State without proof the uniqueness theorem of a probability function (arrow_forward2. (a) Define lim sup A,. Explain when an individual element of 2 lies in A* = lim sup A. Answer the same for A, = lim inf A,,.arrow_forward
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