Elementary Statistics: Picturing the World (6th Edition)
6th Edition
ISBN: 9780321911216
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
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Question
Chapter 6, Problem 6.3.28RE
To determine
To construct and interpret: The 99% confidence interval for the population proportion of U.S. adults who trust doctors to tell the truth.
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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 6 Solutions
Elementary Statistics: Picturing the World (6th Edition)
Ch. 6.1 - Prob. 1TYCh. 6.1 - Prob. 2TYCh. 6.1 - Prob. 3TYCh. 6.1 - Prob. 4TYCh. 6.1 - Prob. 5TYCh. 6.1 - Prob. 6TYCh. 6.1 - When estimating a population mean, are you more...Ch. 6.1 - Which statistic is the best unbiased estimator for...Ch. 6.1 - For the same sample statistics, which level of...Ch. 6.1 - You construct a 95% confidence interval for a...
Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - In Exercises 58, find the critical value Zc...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - Graphical Analysis In Exercises 912, use the...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - In Exercises 1316, find the margin of error for...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - Matching In Exercises 1720, match the level of...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2124, construct the indicated...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2528, use the confidence interval to...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - In Exercises 2932, determine the minimum sample...Ch. 6.1 - Finding the Margin of Error In Exercises 33 and...Ch. 6.1 - Prob. 34ECh. 6.1 - Prob. 35ECh. 6.1 - Prob. 36ECh. 6.1 - Prob. 37ECh. 6.1 - Prob. 38ECh. 6.1 - Prob. 39ECh. 6.1 - Prob. 40ECh. 6.1 - Prob. 41ECh. 6.1 - Prob. 42ECh. 6.1 - When all other quantities remain the same, how...Ch. 6.1 - Prob. 44ECh. 6.1 - Prob. 45ECh. 6.1 - Prob. 46ECh. 6.1 - Determining a Minimum Sample Size Determine the...Ch. 6.1 - Determining a Minimum Sample Size Determine the...Ch. 6.1 - Prob. 49ECh. 6.1 - Prob. 50ECh. 6.1 - Prob. 51ECh. 6.1 - Prob. 52ECh. 6.1 - Prob. 53ECh. 6.1 - Prob. 54ECh. 6.1 - When all other quantities remain the same, how...Ch. 6.1 - When estimating the population mean, why not...Ch. 6.1 - Prob. 57ECh. 6.1 - Prob. 58ECh. 6.1 - Use the finite population correction factor to...Ch. 6.1 - Sample Size The equation for determining the...Ch. 6.2 - Prob. 1TYCh. 6.2 - Prob. 2TYCh. 6.2 - Prob. 3TYCh. 6.2 - Prob. 4TYCh. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - Finding Critical Values of t In Exercises 14, find...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 58, find the margin of error for the...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 912, construct the indicated...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - In Exercises 1316, use the confidence interval to...Ch. 6.2 - Constructing a Confidence Interval In Exercises...Ch. 6.2 - Constructing a Confidence Interval In Exercises...Ch. 6.2 - Prob. 19ECh. 6.2 - Prob. 20ECh. 6.2 - You research commute times to work and find that...Ch. 6.2 - You research driving distances to work and find...Ch. 6.2 - Prob. 23ECh. 6.2 - Prob. 24ECh. 6.2 - Prob. 25ECh. 6.2 - Prob. 26ECh. 6.2 - Constructing a Confidence Interval in Exercises...Ch. 6.2 - Constructing a Confidence Interval in Exercises...Ch. 6.2 - Prob. 29ECh. 6.2 - Prob. 30ECh. 6.2 - Choosing a Distribution In Exercises 3538, use the...Ch. 6.2 - Prob. 32ECh. 6.2 - Prob. 33ECh. 6.2 - Prob. 34ECh. 6.2 - Prob. 35ECh. 6.2 - Prob. 36ECh. 6.2 - Prob. 37ECh. 6.2 - Prob. 38ECh. 6.2 - Prob. 1ACh. 6.2 - In a random sample of 24 high school students, the...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.2 - A marathon is a fool race with a distance of 26.22...Ch. 6.3 - Prob. 1TYCh. 6.3 - Prob. 2TYCh. 6.3 - Prob. 3TYCh. 6.3 - Prob. 4TYCh. 6.3 - True or False? In Exercises 1 and 2, determine...Ch. 6.3 - True or False? In Exercises 1 and 2, determine...Ch. 6.3 - Prob. 3ECh. 6.3 - Prob. 4ECh. 6.3 - Prob. 5ECh. 6.3 - Prob. 6ECh. 6.3 - Prob. 7ECh. 6.3 - Prob. 8ECh. 6.3 - Prob. 9ECh. 6.3 - Prob. 10ECh. 6.3 - Prob. 11ECh. 6.3 - Prob. 12ECh. 6.3 - Prob. 13ECh. 6.3 - Prob. 14ECh. 6.3 - Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 1ACh. 6.3 - Prob. 2ACh. 6.4 - Prob. 1TYCh. 6.4 - Prob. 2TYCh. 6.4 - Does a population have to be normally distributed...Ch. 6.4 - What happens to the shape of the chi-square...Ch. 6.4 - Prob. 3ECh. 6.4 - Finding Critical Values for X2 In Exercises 38,...Ch. 6.4 - Prob. 5ECh. 6.4 - Finding Critical Values for X2 In Exercises 38,...Ch. 6.4 - Finding Critical Values for X2 In Exercises 38,...Ch. 6.4 - Prob. 8ECh. 6.4 - Prob. 9ECh. 6.4 - Prob. 10ECh. 6.4 - Prob. 11ECh. 6.4 - In Exercises 912, construct the indicated...Ch. 6.4 - Prob. 13ECh. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Prob. 15ECh. 6.4 - Prob. 16ECh. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Prob. 21ECh. 6.4 - Prob. 22ECh. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Constructing Confidence Intervals In Exercises...Ch. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6 - The waking times (in minutes past 5:00 A.M.) of 40...Ch. 6 - The driving distances (in miles) to work of 30...Ch. 6 - Prob. 6.1.3RECh. 6 - Prob. 6.1.4RECh. 6 - In Exercises 5 and 6, use the confidence interval...Ch. 6 - Prob. 6.1.6RECh. 6 - Prob. 6.1.7RECh. 6 - Prob. 6.1.8RECh. 6 - In Exercises 912, find the critical value tc for...Ch. 6 - In Exercises 912, find the critical value tc for...Ch. 6 - In Exercises 912, find the critical value tc for...Ch. 6 - Prob. 6.2.12RECh. 6 - Prob. 6.2.13RECh. 6 - Prob. 6.2.14RECh. 6 - Prob. 6.2.15RECh. 6 - Prob. 6.2.16RECh. 6 - Prob. 6.2.17RECh. 6 - Prob. 6.2.18RECh. 6 - Prob. 6.2.19RECh. 6 - Prob. 6.2.20RECh. 6 - Prob. 6.2.21RECh. 6 - Prob. 6.2.22RECh. 6 - Prob. 6.3.23RECh. 6 - Prob. 6.3.24RECh. 6 - Prob. 6.3.25RECh. 6 - Prob. 6.3.26RECh. 6 - Prob. 6.3.27RECh. 6 - Prob. 6.3.28RECh. 6 - Prob. 6.3.29RECh. 6 - Prob. 6.3.30RECh. 6 - Prob. 6.3.31RECh. 6 - Prob. 6.3.32RECh. 6 - Prob. 6.4.33RECh. 6 - Prob. 6.4.34RECh. 6 - Prob. 6.4.35RECh. 6 - In Exercises 2730, find the critical values R2 and...Ch. 6 - Prob. 6.4.37RECh. 6 - Prob. 6.4.38RECh. 6 - Prob. 1CQCh. 6 - Prob. 2CQCh. 6 - The data set represents the amounts of time (in...Ch. 6 - Prob. 4CQCh. 6 - Prob. 5CQCh. 6 - Prob. 6CQCh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Use the standard normal distribution or the...Ch. 6 - Prob. 5CTCh. 6 - The Safe Drinking Water Act, which was passed in...Ch. 6 - The Safe Drinking Water Act, which was passed in...Ch. 6 - The Safe Drinking Water Act, which was passed in...Ch. 6 - Prob. 4RSRDCh. 6 - Prob. 1TCh. 6 - Prob. 2TCh. 6 - Prob. 3TCh. 6 - Prob. 4TCh. 6 - Prob. 5T
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