Elementary Statistics (13th Edition)
13th Edition
ISBN: 9780134464244
Author: Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 12.1, Problem 2BSC
In Exercises 1-4, use the following listed arrival delay times (minutes) for American Airline flights from New York to Los Angeles. Negative values correspond to flights that arrived early. Also shown are the SPSS results for analysis of variance. Assume that we plan to use a 0.05 significance level to test the claim that the different flights have the same
2. Why Not Test Two at a Time? Refer to the sample data given in Exercise 1. If we want to test for equality of the three means, why don’t we use three separate hypothesis tests for μ1 = μ2, μ1 = μ3, and μ2 = μ3?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
30 Explain how you can use the empirical rule
to find out whether a data set is mound-
shaped, using only the values of the data
themselves (no histogram available).
5. Let X be a positive random variable with finite variance, and let A = (0, 1).
Prove that
P(X AEX) 2 (1-A)² (EX)²
EX2
6. Let, for p = (0, 1), and xe R. X be a random variable defined as follows:
P(X=-x) = P(X = x)=p. P(X=0)= 1-2p.
Show that there is equality in Chebyshev's inequality for X.
This means that Chebyshev's inequality, in spite of being rather crude, cannot be
improved without additional assumptions.
Chapter 12 Solutions
Elementary Statistics (13th Edition)
Ch. 12.1 - In Exercises 1-4, use the following listed arrival...Ch. 12.1 - In Exercises 1-4, use the following listed arrival...Ch. 12.1 - In Exercises 1-4, use the following listed arrival...Ch. 12.1 - In Exercises 1-4, use the following listed arrival...Ch. 12.1 - In Exercises 5-16, use analysis of variance for...Ch. 12.1 - In Exercises 5-16, use analysis of variance for...Ch. 12.1 - In Exercises 5-16, use analysis of variance for...Ch. 12.1 - In Exercises 5-16, use analysis of variance for...Ch. 12.1 - In Exercises 5-16, use analysis of variance for...Ch. 12.1 - Prob. 10BSC
Ch. 12.1 - Triathlon Times Jeff Parent is a statistics...Ch. 12.1 - Arsenic in Rice Listed below are amounts of...Ch. 12.1 - Prob. 13BSCCh. 12.1 - Speed Dating Listed below are attribute ratings of...Ch. 12.1 - In Exercises 15 and 16, use the data set in...Ch. 12.1 - In Exercises 15 and 16, use the data set in...Ch. 12.1 - Tukey Test A display of the Bonferroni test...Ch. 12.2 - Two-Way ANOVA The pulse rates in Table 12-3 from...Ch. 12.2 - Two-Way ANOVA If we have a goal of using the data...Ch. 12.2 - Interaction a. What is an interaction between two...Ch. 12.2 - Balanced Design Does the table given in Exercise 1...Ch. 12.2 - Pulse Rates If we use the data given in Exercise 1...Ch. 12.2 - Weights The weights (kg) in the following table...Ch. 12.2 - Heights The heights (cm) in the following table...Ch. 12.2 - Pancake Experiment Listed below are ratings of...Ch. 12.2 - Marathon Times Listed below are New York City...Ch. 12.2 - Smoking, Gender, and Body Temperature The table...Ch. 12.2 - Transformations of Data Example 1 illustrated the...Ch. 12 - Cola Weights Data Set 26 Cola Weights and Volumes...Ch. 12 - Cola Weights For the four samples described in...Ch. 12 - Cola Weights For the analysis of variance test...Ch. 12 - Cola Weights Identify the value of the test...Ch. 12 - Cola Weights The displayed results from Exercise 1...Ch. 12 - One-Way ANOVA In general, what is one-way analysis...Ch. 12 - One vs. Two What is the fundamental difference...Ch. 12 - Estimating Length Given below is a Minitab display...Ch. 12 - Estimating Length Using the same results displayed...Ch. 12 - Estimating Length Using the same results displayed...Ch. 12 - Speed Dating Data Set 18 Speed Dating in Appendix...Ch. 12 - Author Readability Pages were randomly selected by...Ch. 12 - Prob. 3RECh. 12 - Speed Dating Listed below are attribute ratings of...Ch. 12 - In Exercises 1-5, refer to the following list of...Ch. 12 - In Exercises 1-5, refer to the following list of...Ch. 12 - In Exercises 1-5, refer to the following list of...Ch. 12 - In Exercises 15, refer to the following list of...Ch. 12 - In Exercises 15, refer to the following list of...Ch. 12 - Quarters Assume that weights of quarters minted...Ch. 12 - Job Priority Survey USA Today reported on an...Ch. 12 - Win 4 Lottery Shown below is a histogram of digits...Ch. 12 - Does Weight Change with Age? Refer to Data Set 1...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- 4. Prove that, for any random variable X, the minimum of EIX-al is attained for a = med (X).arrow_forward8. Recall, from Sect. 2.16.4, the likelihood ratio statistic, Ln, which was defined as a product of independent, identically distributed random variables with mean 1 (under the so-called null hypothesis), and the, sometimes more convenient, log-likelihood, log L, which was a sum of independent, identically distributed random variables, which, however, do not have mean log 1 = 0. (a) Verify that the last claim is correct, by proving the more general statement, namely that, if Y is a non-negative random variable with finite mean, then E(log Y) log(EY). (b) Prove that, in fact, there is strict inequality: E(log Y) < log(EY), unless Y is degenerate. (c) Review the proof of Jensen's inequality, Theorem 5.1. Generalize with a glimpse on (b).arrow_forward3. Prove that, for any random variable X, the minimum of E(X - a)² is attained for a = EX. Provedarrow_forward
- 7. Cantelli's inequality. Let X be a random variable with finite variance, o². (a) Prove that, for x ≥ 0, P(X EX2x)≤ 02 x² +0² 202 P(|X - EX2x)<≤ (b) Find X assuming two values where there is equality. (c) When is Cantelli's inequality better than Chebyshev's inequality? (d) Use Cantelli's inequality to show that med (X) - EX ≤ o√√3; recall, from Proposition 6.1, that an application of Chebyshev's inequality yields the bound o√√2. (e) Generalize Cantelli's inequality to moments of order r 1.arrow_forwardThe college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardThe Honolulu Advertiser stated that in Honolulu there was an average of 659 burglaries per 400,000 households in a given year. In the Kohola Drive neighborhood there are 321 homes. Let r be the number of homes that will be burglarized in a year. Use the formula for Poisson distribution. What is the value of p, the probability of success, to four decimal places?arrow_forward
- The college hiking club is having a fundraiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $2 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of a dinner for two at a local Chinese restaurant. The dinner is valued at $32. Since fortune cookies are donated to the club, we can ignore the cost of the cookies. The club sold 718 cookies before the drawing. Lisa bought 13 cookies. Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? Round your answer to the nearest cent.arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forwardWhat was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Thanks to Florence Nightingale and the British census of 1851, we have the following information (based on data from the classic text Notes on Nursing, by Florence Nightingale). Note: In 1851 there were 25,466 nurses in Great Britain. Furthermore, Nightingale made a strict distinction between nurses and domestic servants. Use a histogram and graph the probability distribution. Using the graph of the probability distribution determine the probability that a British nurse selected at random in 1851 would be 40 years of age or older. Round your answer to nearest thousandth. Age range (yr) 20–29 30–39 40–49 50–59 60–69 70–79 80+ Midpoint (x) 24.5 34.5 44.5 54.5 64.5 74.5 84.5 Percent of nurses 5.7% 9.7% 19.5% 29.2% 25.0% 9.1% 1.8%arrow_forward
- There are 4 radar stations and the probability of a single radar station detecting an enemy plane is 0.55. Make a histogram for the probability distribution.arrow_forwardshow all stepsarrow_forwardMost people know that the probability of getting a head when you flip a fair coin is . You want to use the relative frequency of the event to show that the probability is . How many times should you simulate flipping the coin in the experiment? Would it be better to use 300 trials or 3000 trials? Explain.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Introduction to experimental design and analysis of variance (ANOVA); Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=vSFo1MwLoxU;License: Standard YouTube License, CC-BY