Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
3rd Edition
ISBN: 9781259969454
Author: William Navidi Prof.; Barry Monk Professor
Publisher: McGraw-Hill Education
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Chapter 11.5, Problem 3E
In Exercises 3 and 4, fill in each blank with the appropriate word or phrase.
The multiple testing problem states that as more hypothesis tests are performed, small P-values become ______ meaningful.
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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 11 Solutions
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Ch. 11.1 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.1 - Prob. 4ECh. 11.1 - Prob. 5ECh. 11.1 - Prob. 6ECh. 11.1 - A test was made of H0:1=2 versus H1:12. The sample...Ch. 11.1 - A test was made of H0:1=2 versus H1:12. The sample...Ch. 11.1 - More time on the Internet: The General Social...Ch. 11.1 - Low-fat or low-carb? Are low-fat diets or low-carb...Ch. 11.1 - Are you smarter than your older brother? In a...Ch. 11.1 - Recovering from surgery: A new postsurgical...
Ch. 11.1 - Contaminated water: The concentration of benzene...Ch. 11.1 - Exercise: Medical researchers conducted a study to...Ch. 11.1 - Mummys curse: King Tut was an ancient Egyptian...Ch. 11.1 - Baby weights: Following are weights in pounds for...Ch. 11.1 - Empathy: The Interpersonal Reactivity Index is a...Ch. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Interpret calculator display: The following TI-84...Ch. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Prob. 24ECh. 11.1 - Prob. 25ECh. 11.2 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - In a test for the difference between two...Ch. 11.2 - In a test for the difference between two...Ch. 11.2 - Childhood obesity: The National Health and...Ch. 11.2 - Pollution and altitude: In a random sample of 340...Ch. 11.2 - Preventing heart attacks: Medical researchers...Ch. 11.2 - Cholesterol: An article in the Archives of...Ch. 11.2 - Treating circulatory disease: Angioplasty is a...Ch. 11.2 - Hurricane damage: In August and September 2005,...Ch. 11.2 - Prob. 15ECh. 11.2 - Prob. 16ECh. 11.2 - Prob. 17ECh. 11.2 - Interpret calculator display: The following TI-84...Ch. 11.2 - Prob. 19ECh. 11.2 - Prob. 20ECh. 11.2 - Prob. 21ECh. 11.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.3 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Prob. 7ECh. 11.3 - Prob. 8ECh. 11.3 - Crossover trial: A crossover trial is a type of...Ch. 11.3 - Comparing scales: In an experiment to determine...Ch. 11.3 - Strength of concrete: The compressive strength. in...Ch. 11.3 - Truck pollution: In an experiment to determine the...Ch. 11.3 - Growth spurt: It is generally known that boys grow...Ch. 11.3 - Prob. 14ECh. 11.3 - Prob. 15ECh. 11.3 - Interpret calculator display: The following TI-84...Ch. 11.3 - Interpret computer output: The following MINITAB...Ch. 11.3 - Prob. 18ECh. 11.3 - Prob. 19ECh. 11.4 - In Exercises 5 and 6, fill in each blank with the...Ch. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Find the critical value f0.05 for F7,20.Ch. 11.4 - Prob. 10ECh. 11.4 - An F-test with 12 degrees of freedom in the...Ch. 11.4 - Prob. 12ECh. 11.4 - Sugar content: A broth used to manufacture a...Ch. 11.4 - Hockey sticks: The breaking strength of hockey...Ch. 11.4 - Prob. 15ECh. 11.4 - Are you smarter than your older brother? In a...Ch. 11.4 - Prob. 17ECh. 11.5 - In Exercises 3 and 4, fill in each blank with the...Ch. 11.5 - Prob. 4ECh. 11.5 - Prob. 5ECh. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Prob. 11ECh. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 6CQCh. 11 - Prob. 7CQCh. 11 - Prob. 8CQCh. 11 - Prob. 9CQCh. 11 - Prob. 10CQCh. 11 - Prob. 11CQCh. 11 - Prob. 12CQCh. 11 - Prob. 13CQCh. 11 - Refer to Exercise 12. Can you reject H0 at the...Ch. 11 - Prob. 15CQCh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 1WAICh. 11 - Prob. 2WAICh. 11 - Describe the differences between performing a...Ch. 11 - Prob. 4WAICh. 11 - Prob. 5WAICh. 11 - Prob. 1CSCh. 11 - Prob. 2CSCh. 11 - Prob. 3CSCh. 11 - Prob. 4CS
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