Introductory Statistics (10th Edition)
Introductory Statistics (10th Edition)
10th Edition
ISBN: 9780321989178
Author: Neil A. Weiss
Publisher: PEARSON
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Chapter 13.4, Problem 62E

To decide whether two variables of a population are associated, we usually need to resort to inferential methods such as the chi-square independence test. Why?

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1. Let 2 (a, b, c)} be the sample space. (a) Write down the power set of 2. (b) Construct a σ-field containing A = {a, b} and B = {b, c}. (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..
13. Let (, F, P) be a probability space and X a function from 2 to R. Explain when X is a random variable.
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(DIA)=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).

Chapter 13 Solutions

Introductory Statistics (10th Edition)

Ch. 13.2 - Prob. 11ECh. 13.2 - Prob. 12ECh. 13.2 - Prob. 13ECh. 13.2 - Prob. 14ECh. 13.2 - Prob. 15ECh. 13.2 - Prob. 16ECh. 13.2 - Prob. 17ECh. 13.2 - In each of Exercises 13.1813.23, we have provided...Ch. 13.2 - In each of Exercises 13.1813.23, we have provided...Ch. 13.2 - Prob. 20ECh. 13.2 - Prob. 21ECh. 13.2 - Prob. 22ECh. 13.2 - In each of Exercises 13.18-13.23, we have provided...Ch. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - In each of Exercises 13.24-13.3, apply the...Ch. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 27ECh. 13.2 - In Each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 29ECh. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 31ECh. 13.2 - In each of Exercises 13.24-13.33, apply the...Ch. 13.2 - Prob. 33ECh. 13.2 - Prob. 34ECh. 13.2 - The chi-square goodness-of-fit test provides a...Ch. 13.3 - Identify the type of table that is used to group...Ch. 13.3 - What are the small boxes inside the heavy lines of...Ch. 13.3 - Suppose that bivariate data are to be grouped into...Ch. 13.3 - Identify three ways in which the total number of...Ch. 13.3 - Presidential Election. According to Dave Leip's...Ch. 13.3 - Prob. 41ECh. 13.3 - Prob. 42ECh. 13.3 - Prob. 43ECh. 13.3 - Prob. 44ECh. 13.3 - Prob. 45ECh. 13.3 - Prob. 46ECh. 13.3 - AIDS Cases. According to the Centers for Disease...Ch. 13.3 - Prob. 48ECh. 13.3 - Prob. 49ECh. 13.3 - Prob. 50ECh. 13.3 - Farms. The U.S. Department of Agriculture...Ch. 13.3 - Prob. 52ECh. 13.3 - AIDS Cases. Refer to Exercise 13.47. For AIDS case...Ch. 13.3 - Prob. 54ECh. 13.3 - Prob. 55ECh. 13.3 - Prob. 56ECh. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In each of Exercises 13.57-13.59, use the...Ch. 13.3 - In the exercise, you are to consider two variables...Ch. 13.3 - Prob. 61ECh. 13.4 - To decide whether two variables of a population...Ch. 13.4 - Prob. 63ECh. 13.4 - Prob. 64ECh. 13.4 - Prob. 65ECh. 13.4 - Prob. 66ECh. 13.4 - Education and Salary. Studies have shown that a...Ch. 13.4 - Identify three techniques that can he tried as a...Ch. 13.4 - Prob. 69ECh. 13.4 - Prob. 70ECh. 13.4 - In each of Exercises 13.69-13.74, we have given...Ch. 13.4 - Prob. 72ECh. 13.4 - In each of Exercises 13.69-13.74, we have given...Ch. 13.4 - Prob. 74ECh. 13.4 - Prob. 75ECh. 13.4 - Prob. 76ECh. 13.4 - Prob. 77ECh. 13.4 - Prob. 78ECh. 13.4 - In Exercises13.79-13.86, use either the...Ch. 13.4 - In Exercises 13.79-13.86, use either the...Ch. 13.4 - Prob. 81ECh. 13.4 - In Exercises 13.7913.86, use either she critical...Ch. 13.4 - In Exercises 13.7913.86, use either she...Ch. 13.4 - Prob. 84ECh. 13.4 - Prob. 85ECh. 13.4 - Prob. 86ECh. 13.4 - Prob. 87ECh. 13.4 - In Exercises 13.7913.86, use either the...Ch. 13.4 - Prob. 89ECh. 13.4 - Prob. 90ECh. 13.4 - Prob. 91ECh. 13.4 - Prob. 92ECh. 13.5 - Prob. 93ECh. 13.5 - For what purpose is a chi-square homogeneity test...Ch. 13.5 - Prob. 95ECh. 13.5 - State the null and alternative hypotheses for a...Ch. 13.5 - Prob. 97ECh. 13.5 - Prob. 98ECh. 13.5 - Prob. 99ECh. 13.5 - A chi-square homogeneity test is to be conducted...Ch. 13.5 - Prob. 101ECh. 13.5 - In Exercises 13.101-13.106, use either the...Ch. 13.5 - In Exercises 13.101-13.106, use either the...Ch. 13.5 - Prob. 104ECh. 13.5 - Prob. 105ECh. 13.5 - Prob. 106ECh. 13.5 - In each of Exercises 13.107 and 13.108 a. use the...Ch. 13.5 - In each of Exercises 13.107 and 13.108, a. use the...Ch. 13 - How do you distinguish among the infinitely many...Ch. 13 - Prob. 2RPCh. 13 - Prob. 3RPCh. 13 - Explain why a chi-square goodness-of-fit test, a...Ch. 13 - Prob. 5RPCh. 13 - Rending the expected-frequency assumptions for a...Ch. 13 - Prob. 7RPCh. 13 - Suppose that you have bivariate data for an entire...Ch. 13 - Suppose that you have bivariate data for a sample...Ch. 13 - Prob. 10RPCh. 13 - Prob. 11RPCh. 13 - Prob. 12RPCh. 13 - Prob. 13RPCh. 13 - Presidents. Refer to Problem 12. a. Find the...Ch. 13 - Prob. 15RPCh. 13 - Prob. 16RPCh. 13 - Prob. 17RPCh. 13 - Prob. 18RPCh. 13 - Prob. 19RPCh. 13 - Income and Residence. The U.S. Census Bureau...Ch. 13 - Economy in Recession? The Quinnipiac University...Ch. 13 - Prob. 22RPCh. 13 - With holding Treatment. Several years ago. a poll...Ch. 13 - Recall from Chapter 1 (see page 34) that the Focus...Ch. 13 - At the beginning of this chapter, we presented a...
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Chi Square test; Author: Vectors Academy;https://www.youtube.com/watch?v=f53nXHoMXx4;License: Standard YouTube License, CC-BY