Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 1.2, Problem 17AYU
Happiness and Your Heart Is there an association between level of happiness and the risk of heart disease? Researchers studied 1739 people over a 10 year period and asked questions about their daily lives and the hassles they face. The researchers also determined which individuals in the study experienced any type of heart disease. After their analysis, they concluded that happy individuals are less likely to experience heart disease.
Source: European Heart Journal 31(9): 1065–1070, February 2010.
- a. What type of observational study is this? Explain.
- b. What is the response variable? What is the explanatory variable?
- c. In the report, the researchers stated that “the research team also hasn’t ruled out that a common factor like genetics could be causing both the emotions and the heart disease.” Use the language introduced in this section to explain what this sentence means.
Expert Solution & Answer
Learn your wayIncludes step-by-step video
schedule05:55
Students have asked these similar questions
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
Chapter 1 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 1.1 - Define statistics.Ch. 1.1 - Explain the difference between a population and a...Ch. 1.1 - A(n) _____ is a person or object that is a member...Ch. 1.1 - _____ statistics consists of organizing and...Ch. 1.1 - A(n) _____ is a numerical summary of a sample....Ch. 1.1 - are the characteristics of the individuals of the...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...
Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 714, determine whether the underlined...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 1522, classify the variable as...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 2330, determine whether the...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3138, determine the level of...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 3944, a research objective is...Ch. 1.1 - In Problems 45 and 46, identify the individuals,...Ch. 1.1 - In Problems 45 and 46, identify the individuals,...Ch. 1.1 - Smokers IQ A study was conducted in which 2011...Ch. 1.1 - A Cure for the Common Wart A study conducted by...Ch. 1.1 - NW Government Waste Gallup News Service conducted...Ch. 1.1 - Investment Decision The Gallup Organization...Ch. 1.1 - What Level of Measurement? It is extremely...Ch. 1.1 - Interpreting the Variable Suppose a fundraiser...Ch. 1.1 - Analyze the Article Read the newspaper article and...Ch. 1.1 - Contrast the differences between qualitative and...Ch. 1.1 - Discuss the differences between discrete and...Ch. 1.1 - In your own words, define the four levels of...Ch. 1.1 - Explain what is meant when we say data vary, How...Ch. 1.1 - Explain the process of statistics.Ch. 1.1 - The age of a person is commonly considered to be a...Ch. 1.2 - In your own words, define explanatory variable and...Ch. 1.2 - What is an observational study? What is a designed...Ch. 1.2 - Explain what is meant by confounding. What is a...Ch. 1.2 - Given a choice, would you conduct a study using an...Ch. 1.2 - What is a cross-sectional study? What is a...Ch. 1.2 - The data used in the influenza study presented in...Ch. 1.2 - Explain why it would be unlikely to use a designed...Ch. 1.2 - What does it mean when an observational study is...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - In Problems 916, determine whether the study...Ch. 1.2 - Happiness and Your Heart Is there an association...Ch. 1.2 - Daily Coffee Consumption Is there an association...Ch. 1.2 - NW Television in the Bedroom Is a television (TV)...Ch. 1.2 - Get Married, Gain Weight Are young couples who...Ch. 1.2 - Midwives Researchers Sally Tracy and associates...Ch. 1.2 - Web Page Design Magnum, LLC, is a web page design...Ch. 1.2 - Analyze the Article Write a summary of the...Ch. 1.2 - Putting It Together: Passive Smoke? The following...Ch. 1.3 - What is a frame?Ch. 1.3 - Define simple random sampling.Ch. 1.3 - What does it mean when sampling is done without...Ch. 1.3 - What is random sampling? Why is it used and how...Ch. 1.3 - Literature As part of a college literature course,...Ch. 1.3 - Team Captains A coach must select two players to...Ch. 1.3 - NW Course Selection A student entering a doctoral...Ch. 1.3 - Merit Badge Requirements To complete the...Ch. 1.3 - Sampling the Faculty A community college employs...Ch. 1.3 - Sampling the Students The same community college...Ch. 1.3 - NW Obtaining a Simple Random Sample The following...Ch. 1.3 - Obtaining a Simple Random Sample The following...Ch. 1.3 - Obtaining a Simple Random Sample The president of...Ch. 1.3 - Obtaining a Simple Random Sample The mayor of...Ch. 1.3 - Future Government Club The Future Government Club...Ch. 1.3 - Worker Morale The owner of a private food store is...Ch. 1.4 - Describe a circumstance in which stratified...Ch. 1.4 - Which sampling method does not require a frame?Ch. 1.4 - Why are convenience samples ill advised?Ch. 1.4 - A(n) _____ sample is obtained by dividing the...Ch. 1.4 - A(n) _____ sample is obtained by dividing the...Ch. 1.4 - True or False: When taking a systematic random...Ch. 1.4 - True or False: A simple random sample is always...Ch. 1.4 - True or False: When conducting a cluster sample,...Ch. 1.4 - True or False: Inferences based on voluntary...Ch. 1.4 - True or False: When obtaining a stratified sample,...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - Prob. 15AYUCh. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - Prob. 19AYUCh. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - In Problems 1122, identify the type of sampling...Ch. 1.4 - A salesperson obtained a systematic sample of size...Ch. 1.4 - Prob. 24AYUCh. 1.4 - NW Stratified Sampling The Future Government Club...Ch. 1.4 - Stratified Sampling The owner of a private food...Ch. 1.4 - NW Systematic Sample The human resource department...Ch. 1.4 - Prob. 28AYUCh. 1.4 - Which Method? The mathematics department at a...Ch. 1.4 - Good Sampling Method? To obtain students opinions...Ch. 1.4 - Sample Design The city of Naperville is...Ch. 1.4 - Prob. 32AYUCh. 1.4 - Sample Design Target wants to open a new store in...Ch. 1.4 - Prob. 34AYUCh. 1.4 - Prob. 35AYUCh. 1.4 - Sample Design A marketing executive for Coca-Cola....Ch. 1.4 - Putting It Together: Comparing Sampling Methods...Ch. 1.4 - Putting It Together: Thinking about Randomness...Ch. 1.5 - What is a closed question? What is an open...Ch. 1.5 - Prob. 2AYUCh. 1.5 - What is bias? Name the three sources of bias and...Ch. 1.5 - What is closed question? What is an open question?...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Prob. 13AYUCh. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Prob. 15AYUCh. 1.5 - In Problems 516, the survey has bias. (a)...Ch. 1.5 - Response Rates Surveys tend to suffer from low...Ch. 1.5 - Delivery Format The General Social Survey asked,...Ch. 1.5 - Prob. 19AYUCh. 1.5 - Order of the Questions Consider the following two...Ch. 1.5 - Improving Response Rates Suppose you are reading...Ch. 1.5 - Rotating Choices Consider this question from a...Ch. 1.5 - Random Digit Dialing Many polls use random digit...Ch. 1.5 - Caller ID How do you think caller ID has affected...Ch. 1.5 - Prob. 25AYUCh. 1.5 - Prob. 26AYUCh. 1.5 - Exit Polling During every election, pollsters...Ch. 1.5 - Prob. 29AYUCh. 1.5 - Name two biases that led to the Literary Digest...Ch. 1.5 - The Challenge in Polling One of the challenges in...Ch. 1.5 - Why is it rare for frames to be completely...Ch. 1.5 - Prob. 37AYUCh. 1.5 - Discuss the benefits of having trained...Ch. 1.5 - What are the advantages of having a presurvey when...Ch. 1.5 - Discuss the pros and cons of telephone interviews...Ch. 1.5 - Prob. 41AYUCh. 1.5 - Prob. 42AYUCh. 1.5 - Prob. 43AYUCh. 1.5 - Prob. 44AYUCh. 1.6 - Define the following: a. Experimental unit b....Ch. 1.6 - What is replication in an experiment?Ch. 1.6 - Explain the difference between a single-blind and...Ch. 1.6 - A(n) _____ _____ design is one in which each...Ch. 1.6 - Prob. 5AYUCh. 1.6 - Prob. 6AYUCh. 1.6 - NW Chew Your Food Researchers wanted to determine...Ch. 1.6 - Alcohol Dependence To determine if topiramate is a...Ch. 1.6 - NW School Psychology A school psychologist wants...Ch. 1.6 - Pharmacy A pharmaceutical company has developed an...Ch. 1.6 - NW Whiter Teeth An ad for Crest Whitestrips...Ch. 1.6 - Assessment To help assess student learning in her...Ch. 1.6 - Insomnia Researchers wanted to test the...Ch. 1.6 - Prob. 14AYUCh. 1.6 - The Memory Drug? Researchers wanted to evaluate...Ch. 1.6 - Shrinking Stomach? Researchers wanted to determine...Ch. 1.6 - Dominant Hand Professor Andy Neill wanted to...Ch. 1.6 - Golf Anyone? A local golf pro wanted to compare...Ch. 1.6 - Drug Effectiveness A pharmaceutical company wants...Ch. 1.6 - Prob. 20AYUCh. 1.6 - Green Tea You wonder whether green tea lowers...Ch. 1.6 - Priming for Healthy Food Does alerting shoppers at...Ch. 1.6 - Batteries An engineer wants to determine the...Ch. 1.6 - Tire Design An engineer has just developed a new...Ch. 1.6 - Designing an Experiment Researchers want to know...Ch. 1.6 - Research the placebo effect and the Hawthorne...Ch. 1.6 - Coke or Pepsi You want to perform an experiment...Ch. 1.6 - The Dictator Game In their book SuperFreakonomics,...Ch. 1.6 - Ebola In October 2014, there was an Ebola breakout...Ch. 1.6 - What is the role of randomization in a designed...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - In Problems 15, provide a definition using your...Ch. 1 - List and describe the three major types of...Ch. 1 - What is meant by the process of statistics?Ch. 1 - List and explain the three sources of bias in...Ch. 1 - Distinguish between sampling and nonsampling...Ch. 1 - Explain the steps in designing an experiment.Ch. 1 - Number of new automobiles sold at a dealership on...Ch. 1 - Weight in carats of an uncut diamondCh. 1 - Brand name of a pair of running shoesCh. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - In Problems 14 and 15, determine whether the...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 1619, determine the level of...Ch. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - In Problems 20 and 21, determine whether the study...Ch. 1 - Read the following description of an observational...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - In Problems 2326, determine the type of sampling...Ch. 1 - Each of the following surveys has bias. Determine...Ch. 1 - Obtaining a Simple Random Sample The mayor of a...Ch. 1 - Obtaining a Systematic Sample A quality-control...Ch. 1 - Obtaining a Simple Random Sample Based on the...Ch. 1 - Tooth-Whitening Gum Smoking and drinking coffee...Ch. 1 - Reaction Time Researchers wanted to assess the...Ch. 1 - Multiple Choice A common tip for taking...Ch. 1 - Prob. 34RECh. 1 - Prob. 35RECh. 1 - Prob. 38RECh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 35, determine if the variable is...Ch. 1 - In Problems 6 and 7, determine whether the study...Ch. 1 - In Problems 6 and 7, determine whether the study...Ch. 1 - Contrast the three major types of observational...Ch. 1 - Compare and contrast observational studies and...Ch. 1 - Prob. 10CTCh. 1 - List the steps required to conduct an experiment.Ch. 1 - Prob. 12CTCh. 1 - A congresswoman wants to survey her constituency...Ch. 1 - Prob. 14CTCh. 1 - A casino manager wants to inspect a sample of 14...Ch. 1 - Describe what is meant by an experiment that has a...Ch. 1 - Each of the following surveys has bias. Identify...Ch. 1 - Shapely Glasses Does the shape of a glass play a...Ch. 1 - Nucryst Pharmaceuticals, Inc., announced the...Ch. 1 - Researchers Katherine Tucker and associates wanted...Ch. 1 - Explain the difference between a lurking variable...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...Ch. 1 - CASE STUDY Chrysalises for Cash The butterfly...
Additional Math Textbook Solutions
Find more solutions based on key concepts
If you multiply an odd number by 2 and add 1, is your answer even or odd?
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis t...
Elementary Statistics: Picturing the World (7th Edition)
Two dice are thrown. Let E be the event that the sum of the dice is odd, let F be the event that at least one o...
A First Course in Probability (10th Edition)
Confidence Intervals. In Exercises 9–24, construct the confidence interval estimate of the mean.
12. Atkins Wei...
Elementary Statistics (13th Edition)
CHECK POINT I You deposit $1000 in a saving account at a bank that has a rate of 4%. a. Find the amount, A, of ...
Thinking Mathematically (6th Edition)
If n is a counting number, bn, read______, indicates that there are n factors of b. The number b is called the_...
Algebra and Trigonometry (6th Edition)
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
- 9. The concentration function of a random variable X is defined as Qx(h) = sup P(x ≤ X ≤x+h), h>0. Show that, if X and Y are independent random variables, then Qx+y (h) min{Qx(h). Qr (h)).arrow_forward10. Prove that, if (t)=1+0(12) as asf->> O is a characteristic function, then p = 1.arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x ≤x≤x+h), h>0. (b) Is it true that Qx(ah) =aQx (h)?arrow_forward
- 3. Let X1, X2,..., X, be independent, Exp(1)-distributed random variables, and set V₁₁ = max Xk and W₁ = X₁+x+x+ Isk≤narrow_forward7. Consider the function (t)=(1+|t|)e, ER. (a) Prove that is a characteristic function. (b) Prove that the corresponding distribution is absolutely continuous. (c) Prove, departing from itself, that the distribution has finite mean and variance. (d) Prove, without computation, that the mean equals 0. (e) Compute the density.arrow_forward1. Show, by using characteristic, or moment generating functions, that if fx(x) = ½ex, -∞0 < x < ∞, then XY₁ - Y2, where Y₁ and Y2 are independent, exponentially distributed random variables.arrow_forward
- 1. Show, by using characteristic, or moment generating functions, that if 1 fx(x): x) = ½exarrow_forward1990) 02-02 50% mesob berceus +7 What's the probability of getting more than 1 head on 10 flips of a fair coin?arrow_forward9. The concentration function of a random variable X is defined as Qx(h) sup P(x≤x≤x+h), h>0. = x (a) Show that Qx+b(h) = Qx(h).arrow_forward
- Suppose that you buy a lottery ticket, and you have to pick six numbers from 1 through 50 (repetitions allowed). Which combination is more likely to win: 13, 48, 17, 22, 6, 39 or 1, 2, 3, 4, 5, 6? barrow_forward2 Make a histogram from this data set of test scores: 72, 79, 81, 80, 63, 62, 89, 99, 50, 78, 87, 97, 55, 69, 97, 87, 88, 99, 76, 78, 65, 77, 88, 90, and 81. Would a pie chart be appropriate for this data? ganizing Quantitative Data: Charts and Graphs 45arrow_forward10 Meteorologists use computer models to predict when and where a hurricane will hit shore. Suppose they predict that hurricane Stat has a 20 percent chance of hitting the East Coast. a. On what info are the meteorologists basing this prediction? b. Why is this prediction harder to make than your chance of getting a head on your next coin toss? U anoiaarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt
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
Hypothesis Testing - Solving Problems With Proportions; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=76VruarGn2Q;License: Standard YouTube License, CC-BY
Hypothesis Testing and Confidence Intervals (FRM Part 1 – Book 2 – Chapter 5); Author: Analystprep;https://www.youtube.com/watch?v=vth3yZIUlGQ;License: Standard YouTube License, CC-BY