Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 10.2, Problem 1AYU
When observed results are unlikely under the assumption that the null hypothesis is true, we say the result is _____ and we reject the null hypothesis.
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Theorem 2.6 (The Minkowski inequality)
Let p≥1. Suppose that X and Y are random variables, such that E|X|P <∞ and
E|Y P <00. Then
X+YpX+Yp
Theorem 1.2 (1) Suppose that P(|X|≤b) = 1 for some b > 0, that EX = 0, and
set Var X = 0². Then, for 0 0,
P(X > x) ≤e-x+1²²
P(|X|>x) ≤2e-1x+1²²
(ii) Let X1, X2...., Xn be independent random variables with mean 0, suppose
that P(X ≤b) = 1 for all k, and set oσ = Var X. Then, for
x > 0.
and
0x) ≤2 exp
Σ
k=1
(iii) If, in addition, X1, X2, X, are identically distributed, then
P(S|x) ≤2 expl-tx+nt²o).
Theorem 5.1 (Jensen's inequality)
state without proof the Jensen's Ineg.
Let X be a random variable, g a convex function, and suppose that X and g(X) are
integrable. Then
g(EX) < Eg(X).
Chapter 10 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 10.1 - A _____ is a statement regarding a characteristic...Ch. 10.1 - _____ _____ is a procedure, based on sample...Ch. 10.1 - The _____ _____ is a statement of no change, no...Ch. 10.1 - The _____ _____ is a statement we are trying to...Ch. 10.1 - If we reject the null hypothesis when the...Ch. 10.1 - If we do not reject the null hypothesis when the...Ch. 10.1 - The _____ _____ _____ is the probability of making...Ch. 10.1 - True or False: Sample evidence can prove a null...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...
Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 914, the null and alternative...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 1522, (a) determine the null and...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - In Problems 2334, state the conclusion based on...Ch. 10.1 - Prob. 33AYUCh. 10.1 - Prob. 34AYUCh. 10.1 - Quality Control A can of soda is labeled as...Ch. 10.1 - Popcorn Consumption According to popcorn.org, the...Ch. 10.1 - E-Cigs According to the Centers for Disease...Ch. 10.1 - Migraines According to the Centers for Disease...Ch. 10.1 - Prob. 39AYUCh. 10.1 - Refer to Problem 18. Researchers must choose the...Ch. 10.1 - Retirement Savings Designed by Bill Bengen, the 4...Ch. 10.1 - If the consequences of making a Type I error are...Ch. 10.1 - What happens to the probability of making a Type...Ch. 10.2 - When observed results are unlikely under the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - True or False: When testing a hypothesis using the...Ch. 10.2 - Determine the critical value for a right-tailed...Ch. 10.2 - Determine the critical value for a left-tailed...Ch. 10.2 - Determine the critical value for a two-tailed test...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - Prob. 10AYUCh. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - In Problems 712, test the hypothesis using (a) the...Ch. 10.2 - You Explain It! Stock Analyst Throwing darts at...Ch. 10.2 - Prob. 14AYUCh. 10.2 - Applying the Concepts 15. Cramer Correct Less Than...Ch. 10.2 - Political Pundits In his book, The Signal and the...Ch. 10.2 - NW Lipitor The drug Lipitor is meant to reduce...Ch. 10.2 - Nexium Nexium is a drug that can be used to reduce...Ch. 10.2 - Fatal Traffic Accidents According to the National...Ch. 10.2 - Eating Together In December 2001, 38% of adults...Ch. 10.2 - NW Taught Enough Math In 1994, 52% of parents with...Ch. 10.2 - Living Alone? In 2000, 58% of females aged 15 and...Ch. 10.2 - Prob. 23AYUCh. 10.2 - Prob. 24AYUCh. 10.2 - Accuracy of the Drive Thru According to QSR...Ch. 10.2 - Prob. 26AYUCh. 10.2 - NW Small-Sample Hypothesis Test Professors Honey...Ch. 10.2 - Small-Sample Hypothesis Test In 1997, 4% of...Ch. 10.2 - Statistics in the Media A headline read, More Than...Ch. 10.2 - Prob. 31AYUCh. 10.2 - Political Philosophy According to Gallup, 21% of...Ch. 10.2 - Prob. 33AYUCh. 10.2 - Accept versus Do Not Reject In the United States,...Ch. 10.2 - Prob. 35AYUCh. 10.2 - Putting It Together: Lupus Based on historical...Ch. 10.2 - Putting It Together: Naughty or Nice? Yale...Ch. 10.2 - Explaining the Concepts 40. Explain what a P-value...Ch. 10.2 - Prob. 41AYUCh. 10.2 - Suppose we are testing the hypothesis Ho : p =...Ch. 10.2 - Discuss the advantages and disadvantages of using...Ch. 10.2 - The headline reporting the results of a poll...Ch. 10.2 - Explain what statistical significance means.Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - a. Determine the critical value for a right-tailed...Ch. 10.3 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10.3 - Prob. 4AYUCh. 10.3 - To test H0 : = 100 versus H1 : 100, a simple...Ch. 10.3 - Prob. 6AYUCh. 10.3 - Prob. 7AYUCh. 10.3 - To test H0 : = 4.5 versus H1 : 4.5, a simple...Ch. 10.3 - To test H0 : = 105 versus H1 : 105, a simple...Ch. 10.3 - To test H0 : = 45 versus H1 : 45, a simple...Ch. 10.3 - You Explain It! ATM Withdrawals According to the...Ch. 10.3 - You Explain It! Are Women Getting Taller? In 1990,...Ch. 10.3 - NW Ready for College? The ACT is a college...Ch. 10.3 - SAT Verbal Scores Do students who learned English...Ch. 10.3 - Effects of Alcohol on the Brain In a study...Ch. 10.3 - Effects of Plastic Resin Para-nonylphenol is found...Ch. 10.3 - Credit Scores A Fair Isaac Corporation (FICO)...Ch. 10.3 - TVaholics According to the American Time Use...Ch. 10.3 - Age of Death-Row Inmates In 2002, the mean age of...Ch. 10.3 - Energy Consumption In 2001, the mean household...Ch. 10.3 - NW Waiting in Line The mean waiting time at the...Ch. 10.3 - Reading Rates Michael Sullivan, son of the author,...Ch. 10.3 - Prob. 23AYUCh. 10.3 - Filling Bottles A certain brand of apple juice is...Ch. 10.3 - Starbucks Stock The volume of a stock is the...Ch. 10.3 - Study Time Go to...Ch. 10.3 - Prob. 27AYUCh. 10.3 - Prob. 28AYUCh. 10.3 - Problem 25 25. Starbucks Stock The volume of a...Ch. 10.3 - Problem 26 24. Filling Bottles A certain brand of...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Statistical Significance versus Practical...Ch. 10.3 - Accept versus Do Not Reject The mean IQ score of...Ch. 10.3 - Reading at Bedtime It is well-documented that...Ch. 10.3 - Whats the Problem? The head of institutional...Ch. 10.3 - Prob. 38AYUCh. 10.3 - Prob. 39AYUCh. 10.4 - Prob. 1AYUCh. 10.4 - A simple random sample of size n = 200 individuals...Ch. 10.4 - Prob. 3AYUCh. 10.4 - Prob. 4AYUCh. 10.4 - Prob. 5AYUCh. 10.4 - Prob. 6AYUCh. 10.4 - Prob. 7AYUCh. 10.4 - The Atomic Bomb In October 1945, the Gallup...Ch. 10.4 - Course Redesign Pass rates for Intermediate...Ch. 10.4 - Number of Credit Cards According to the Federal...Ch. 10.4 - Prob. 11AYUCh. 10.4 - Prob. 12AYUCh. 10.4 - Prob. 13AYUCh. 10.4 - Prob. 14AYUCh. 10.4 - Prob. 15AYUCh. 10.4 - Prob. 16AYUCh. 10.4 - Prob. 17AYUCh. 10.4 - Confidence Intervals Suppose you wish to determine...Ch. 10.4 - Prob. 19AYUCh. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - In Problems 1925, decide whether the problem...Ch. 10.4 - Prob. 23AYUCh. 10.4 - Prob. 24AYUCh. 10.4 - Prob. 25AYUCh. 10 - For Problems 1 and 2, (a) determine the null and...Ch. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - To test H0 : = 50 versus H1 : 50, a simple...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - In Problems 7 and 8, test the hypothesis at the =...Ch. 10 - Prob. 9RECh. 10 - Emergency Room The proportion of patients who...Ch. 10 - Linear Rotary Bearing A linear rotary bearing is...Ch. 10 - Prob. 12RECh. 10 - Conforming Golf Balls The U.S. Golf Association...Ch. 10 - Studying Enough? College mathematics instructors...Ch. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Explain the difference between accepting and not...Ch. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 1CTCh. 10 - The trade magazine QSR routinely examines...Ch. 10 - Did you get your 8 hours of sleep last night? is a...Ch. 10 - The outside diameter of a manufactured part must...Ch. 10 - Prob. 5CTCh. 10 - Prob. 6CTCh. 10 - Prob. 7CTCh. 10 - CASE STUDY How Old Is Stonehenge? Approximately...
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