Fundamentals of Statistics (5th Edition)
Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 3.5, Problem 19AYU

Retain Your Knowledge: Decision Making and Hunger Does hunger improve strategic decision making? That is, if you are hungry are you more likely to make a favorable decision when the outcome of your decision is uncertain (as in business decisions)? To test this theory, researchers randomly divided 30 normal weight individuals into two groups. All subjects were asked to refrain from eating or drinking (except water) from 11 p.m. on the day prior to their 9 a.m. meeting. At 9 am, the subjects were randomly assigned to one of two groups. The subjects in Group 1 were fed breakfast while the subjects in Group 2 were not fed. All subjects were administered a computerized version of an exam that assesses complex decision making under uncertain conditions. The assessment consisted of subjects choosing cards from four decks marked A, B, C, and D. Cards in decks A and B had a point value of 100 while cards in decks C and D had point values of 50. However, deck A had penalty cards that deducted points between 150 and 300; deck B had one penalty card of 1250; deck C had penalty cards between 25 and 75 points; deck D had a single penalty card of 250 points. So, decks A and B had stiffer penalties over the long haul than decks C and D and in the long haul, decks C and D resulted in more points than decks A and B. In total, the subjects would select 100 cards. However, the response variable was the number of cards selected from decks C and D out of the last 60 cards selected. The thinking here is that after 40 card selections, the subjects would be aware of the advantage of decks C and D. The researchers administered a Barret Impulsivity Scale to be sure the two groups did not differ in terms of impulsivity (e.g., “I do things without thinking.”). There was no difference in impulsivity, age, or body mass index between the two groups. Before the exam, subjects were asked to report their level of hunger and it was found that Group 2 was significantly more hungry than Group 1. After analysis of the data, it was determined that the mean number of advantageous cards (decks C and D) selected by the subjects in Group 2 was 33.36 cards while the mean was 25.86 for the subjects in Group 1. The researchers concluded that hunger improves advantageous decision making.

Source:: de Ridder, D., Kroese F., Adriaanse, M., & Evers, C., “Always Gamble on an Empty Stomach: Hunger is Associated with Advantageous Decision Making.” PLOS One 9(10). doi 10.1371/journal.pone.0111081.

  1. a. What type of experimental design is this?
  2. b. Identify the experimental units.
  3. c. What is the response variable? Is it qualitative or quantitative? If quantitative, is it discrete or continuous?
  4. d. What factors that might impact the response variable are cited in the article? Which factor is manipulated? How many levels are there for the manipulated factor?
  5. e. What role does randomization play in the study? How do the researchers verify that randomization resulted in similar groups prior to the treatment?
  6. f. What are the statistics in the study?
  7. g. What is the conclusion of the study?
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Chapter 3 Solutions

Fundamentals of Statistics (5th Edition)

Ch. 3.1 - For Super Bowl XLVII, there were 82,566 tickets...Ch. 3.1 - The median for the given set of six ordered data...Ch. 3.1 - Miles per Gallon The following data represent the...Ch. 3.1 - Exam Time The following data represent the amount...Ch. 3.1 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.1 - Flight Time The following data represent the...Ch. 3.1 - For each of the three histograms shown, determine...Ch. 3.1 - Match the histograms shown to the summary...Ch. 3.1 - Exam Scores The data in the next column represent...Ch. 3.1 - pH in Water The acidity or alkalinity of a...Ch. 3.1 - NW Pulse Rates The following data represent the...Ch. 3.1 - Travel Time The data represent the travel time (in...Ch. 3.1 - NW Connection Time A histogram of the connection...Ch. 3.1 - Journal Costs A histogram of the annual...Ch. 3.1 - MMs The following data represent the weights (in...Ch. 3.1 - Old Faithful We have all heard of the Old Faithful...Ch. 3.1 - Hours Working A random sample of 25 college...Ch. 3.1 - Prob. 28AYUCh. 3.1 - NW Political Views A sample of 30 registered...Ch. 3.1 - Prob. 30AYUCh. 3.1 - Prob. 31AYUCh. 3.1 - Mr. Zuro finds the mean height of all 14 students...Ch. 3.1 - Missing Exam Grade A professor has recorded exam...Ch. 3.1 - Prob. 34AYUCh. 3.1 - Blood Alcohol Concentration Go to...Ch. 3.1 - Prob. 36AYUCh. 3.1 - Linear Transformations Benjamin owns a small...Ch. 3.1 - Linear Transformations Use the five test scores of...Ch. 3.1 - Trimmed Mean Another measure of central tendency...Ch. 3.1 - Prob. 40AYUCh. 3.1 - Putting It Together: Shape, Mean and Median As...Ch. 3.1 - FICO Scores The Fair Isaacs Corporation has...Ch. 3.1 - Why is the median resistant, but the mean is not?Ch. 3.1 - Prob. 44AYUCh. 3.1 - Net Worth According to a Credit Suisse Survey, the...Ch. 3.1 - Prob. 46AYUCh. 3.1 - In January 2016, the mean amount of money lost per...Ch. 3.1 - For each of the following situations, determine...Ch. 3.2 - The sum of the deviations about the mean always...Ch. 3.2 - The standard deviation is used in conjunction with...Ch. 3.2 - True or False: When comparing two populations, the...Ch. 3.2 - True or False: Chebyshevs Inequality applies to...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - In Problems 510, by hand, find the population...Ch. 3.2 - Miles per Gallon The following data represent the...Ch. 3.2 - Exam Time The following data represent the amount...Ch. 3.2 - NW Concrete Mix A certain type of concrete mix is...Ch. 3.2 - Flight Time The following data represent the...Ch. 3.2 - Which histogram depicts a higher standard...Ch. 3.2 - Match the histograms in the next column to the...Ch. 3.2 - Exam Scores The following data represent exam...Ch. 3.2 - pH in Water The acidity or alkalinity of a...Ch. 3.2 - NW Pulse Rates The data on the following page...Ch. 3.2 - Travel Time The following data represent the...Ch. 3.2 - A Fish Story Ethan and Drew went on a 10-day...Ch. 3.2 - Prob. 22AYUCh. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - The Empirical Rule The following data represent...Ch. 3.2 - Prob. 25AYUCh. 3.2 - Prob. 26AYUCh. 3.2 - Prob. 27AYUCh. 3.2 - Temperatures It is well known that San Diego has...Ch. 3.2 - NW The Empirical Rule The StanfordBinet...Ch. 3.2 - The Empirical Rule SAT Math scores have a...Ch. 3.2 - The Empirical Rule The weight, in grams, of the...Ch. 3.2 - The Empirical Rule The distribution of the length...Ch. 3.2 - Which Professor Suppose Professor Alpha and...Ch. 3.2 - Larry Summers Lawrence Summers (former Secretary...Ch. 3.2 - NW Chebyshevs Inequality In December 2014, the...Ch. 3.2 - Chebyshevs Inequality According to the U.S. Census...Ch. 3.2 - Prob. 37AYUCh. 3.2 - Linear Transformations Benjamin owns a small...Ch. 3.2 - Prob. 39AYUCh. 3.2 - Prob. 40AYUCh. 3.2 - Prob. 41AYUCh. 3.2 - Blocking and Variability Blocking refers to the...Ch. 3.2 - Prob. 43AYUCh. 3.2 - Prob. 44AYUCh. 3.2 - Prob. 45AYUCh. 3.2 - More Spread? The data set on the left represents...Ch. 3.2 - Prob. 47AYUCh. 3.2 - Prob. 48AYUCh. 3.2 - Prob. 49AYUCh. 3.2 - What is meant by the phrase degrees of freedom as...Ch. 3.2 - Prob. 51AYUCh. 3.2 - Prob. 52AYUCh. 3.2 - What makes the range less desirable than the...Ch. 3.2 - Prob. 54AYUCh. 3.2 - Prob. 55AYUCh. 3.2 - Prob. 56AYUCh. 3.2 - Prob. 57AYUCh. 3.2 - Prob. 59AYUCh. 3.3 - NW Savings Recently, a random sample of 2534 year...Ch. 3.3 - Square Footage of Housing The frequency...Ch. 3.3 - Household Winter Temperature Often, frequency...Ch. 3.3 - Living in Poverty (See Problem 3.) The following...Ch. 3.3 - Multiple Births The following data represent the...Ch. 3.3 - Birth Weight The following frequency distribution...Ch. 3.3 - Cigarette Tax Rates Use the frequency distribution...Ch. 3.3 - Dividend Yield Use the frequency distribution...Ch. 3.3 - NW Grade-Point Average Marissa has just completed...Ch. 3.3 - Computing Class Average In Marissas calculus...Ch. 3.3 - Mixed Chocolates Michael and Kevin want to buy...Ch. 3.3 - Nut Mix Michael and Kevin return to the candy...Ch. 3.3 - Population The data represent the male and female...Ch. 3.3 - Age of Mother The following data represent the age...Ch. 3.3 - Approximate the median of the frequency...Ch. 3.3 - Prob. 16AYUCh. 3.3 - Prob. 17AYUCh. 3.3 - Determine the modal class of the frequency...Ch. 3.4 - The _____ represents the number of standard...Ch. 3.4 - The _____ _____ of a data set is a value such that...Ch. 3.4 - _____ divide data sets into fourths.Ch. 3.4 - Prob. 4AYUCh. 3.4 - Prob. 5AYUCh. 3.4 - Prob. 6AYUCh. 3.4 - Men versus Women The average 20- to 29-year-old...Ch. 3.4 - Prob. 8AYUCh. 3.4 - ERA Champions In 2014, Clayton Kershaw of the Los...Ch. 3.4 - Batting Champions The highest batting average ever...Ch. 3.4 - Prob. 11AYUCh. 3.4 - Triathlon Roberto finishes a triathlon (750-meter...Ch. 3.4 - School Admissions A highly selective boarding...Ch. 3.4 - Quality Control A manufacturer of bolts has a...Ch. 3.4 - Prob. 15AYUCh. 3.4 - You Explain It! Percentiles Explain the meaning of...Ch. 3.4 - You Explain It! Quartiles Violent crimes include...Ch. 3.4 - You Explain It! Quartiles One variable that is...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - Ogives and Percentiles The following graph is an...Ch. 3.4 - NW SMART Car The data on the following page...Ch. 3.4 - Hemoglobin in Cats The following data represent...Ch. 3.4 - Rate of Return of Google The following data...Ch. 3.4 - CO2 Emissions The following data represent the...Ch. 3.4 - Fraud Detection As part of its Customers First...Ch. 3.4 - Stolen Credit Card A credit card company has a...Ch. 3.4 - Student Survey of Income A survey of 50 randomly...Ch. 3.4 - Student Survey of Entertainment Spending A survey...Ch. 3.4 - Prob. 29AYUCh. 3.4 - Travel Time Use the results of Problem 22 in...Ch. 3.4 - Fraud Detection Revisited Use the fraud-detection...Ch. 3.4 - Write a paragraph that explains the meaning of...Ch. 3.4 - Suppose you received the highest score on an exam....Ch. 3.4 - Prob. 34AYUCh. 3.4 - Prob. 35AYUCh. 3.4 - Prob. 36AYUCh. 3.4 - Prob. 37AYUCh. 3.4 - Prob. 38AYUCh. 3.4 - Prob. 39AYUCh. 3.5 - What does the five-number summary consist of?Ch. 3.5 - In a boxplot, if the median is to the left of the...Ch. 3.5 - Prob. 3AYUCh. 3.5 - In Problems 3 and 4, (a) identify the shape of the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Use the side-by-side boxplots shown to answer the...Ch. 3.5 - Exam Scores After giving a statistics exam,...Ch. 3.5 - Prob. 8AYUCh. 3.5 - Prob. 9AYUCh. 3.5 - Carpoolers The following data represent the...Ch. 3.5 - NW Age of Mother at Birth The data below represent...Ch. 3.5 - Prob. 12AYUCh. 3.5 - Prob. 13AYUCh. 3.5 - Prob. 14AYUCh. 3.5 - Prob. 15AYUCh. 3.5 - Prob. 16AYUCh. 3.5 - Putting It Together: Earthquakes Go to...Ch. 3.5 - Putting It Together: Paternal Smoking It is...Ch. 3.5 - Retain Your Knowledge: Decision Making and Hunger...Ch. 3.5 - Prob. 20AYUCh. 3.5 - Prob. 21AYUCh. 3 - Muzzle Velocity The following data represent the...Ch. 3 - Price of Chevy Cobalts The following data...Ch. 3 - Chief Justices The following data represent the...Ch. 3 - Number of Tickets Issued As part of a statistics...Ch. 3 - Chebyshevs Inequality and the Empirical Rule...Ch. 3 - Prob. 6RECh. 3 - Weighted Mean Michael has just completed his first...Ch. 3 - Weights of Males versus Females According to the...Ch. 3 - Halladay No-No On October 6, 2010, Roy Halladay of...Ch. 3 - Presidential Inaugural Addresses Ever wonder how...Ch. 3 - You Explain It! Percentiles According to the...Ch. 3 - Skinfold Thickness Procedure One method of...Ch. 3 - The following data represent the amount of time...Ch. 3 - The Federal Bureau of Investigation classifies...Ch. 3 - Determine the range of the homework data from...Ch. 3 - a. Determine the standard deviation of the...Ch. 3 - In a random sample of 250 toner cartridges, the...Ch. 3 - The following data represent the length of time...Ch. 3 - Prob. 7CTCh. 3 - An engineer is studying bearing failures for two...Ch. 3 - The following data represent the weights (in...Ch. 3 - Armando is filling out a college application that...Ch. 3 - According to the National Center for Health...Ch. 3 - Prob. 12CTCh. 3 - Answer the following based on the histograms shown...Ch. 3 - Explain how the standard deviation measures...Ch. 3 - Generate a data set consisting of the length of...Ch. 3 - Prob. 2CSCh. 3 - Prob. 3CS
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