Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134462455
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 14.2, Problem 1BSC
Statistical Literacy and Critical Thinking
1. Minting Quarters Specifications for a quarter require that it be 8.33% nickel and 91.67% copper; it must weigh 5.670 g and have a diameter of 2426 mm and a thickness of 1.75 mm; and it must have 119 reeds on the edge. A quarter is considered to be defective if it deviates substantially from those specifications. A production process is monitored, defects are recorded and the accompanying control chart is obtained. Does this process appear to be within statistical control? If not identify any out-of-control criteria that are satisfied. Is the manufacturing process deteriorating?
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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 14 Solutions
Elementary Statistics (13th Edition)
Ch. 14.1 - FAA Requirement Table 14-1 on page 655 lists...Ch. 14.1 - Prob. 2BSCCh. 14.1 - Prob. 3BSCCh. 14.1 - Prob. 4BSCCh. 14.1 - Prob. 5BSCCh. 14.1 - Prob. 6BSCCh. 14.1 - Prob. 7BSCCh. 14.1 - Pepsi Cans. In Exercises 5-8, refer to the axial...Ch. 14.1 - Prob. 9BSCCh. 14.1 - Prob. 10BSC
Ch. 14.1 - Quarters. In Exercises 9-12, refer to the...Ch. 14.1 - Prob. 12BSCCh. 14.1 - Prob. 13BBCh. 14.1 - Prob. 14BBCh. 14.2 - Statistical Literacy and Critical Thinking 1....Ch. 14.2 - Prob. 2BSCCh. 14.2 - Control Limits In constructing a control chart for...Ch. 14.2 - Euro Coins After constructing a control chart for...Ch. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Prob. 7BSCCh. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Control Charts for p. In Exercises 5-12, use the...Ch. 14.2 - Prob. 13BBCh. 14 - What are process data?Ch. 14 - Prob. 2CQQCh. 14 - Prob. 3CQQCh. 14 - Prob. 4CQQCh. 14 - Prob. 5CQQCh. 14 - Prob. 6CQQCh. 14 - Prob. 7CQQCh. 14 - Prob. 8CQQCh. 14 - Prob. 9CQQCh. 14 - Prob. 10CQQCh. 14 - Prob. 1RECh. 14 - Prob. 2RECh. 14 - Prob. 3RECh. 14 - Energy Consumption. Exercises 15 refer to the...Ch. 14 - Prob. 5RECh. 14 - Prob. 1CRECh. 14 - Prob. 2CRECh. 14 - Prob. 3CRECh. 14 - Internet Doctors: Probability Based on the survey...Ch. 14 - Sunspots and the DJIA Listed below are annual...Ch. 14 - Prob. 6CRECh. 14 - Prob. 7CRECh. 14 - Defective Child Restraint Systems The Tracolyte...Ch. 14 - Prob. 9CRECh. 14 - Does It Pay to Plead Guilty? The accompanying...Ch. 14 - FROM DATA TO DECISION Critical Thinking: Are the...
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