Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 2.1, Problem 29AYU
Putting It Together: Online Homework Keeping students engaged in the learning process greatly increases their chance of success in a course. Traditional lecture-based math instruction has given way to a more student-engaged approach where students interact with the teacher in class and receive immediate feedback to their responses. The teacher presence allows students, when incorrect in a response, to be guided through a solution and then immediately be given a similar problem to attempt.
A researcher conducted a study to investigate whether an online homework system using an attempt–feedback–reattempt approach improved student learning over traditional pencil-and-paper homework. The online homework system was designed to increase student engagement outside class, something commonly missing in traditional pencil-and-paper assignments, ultimately leading to increased learning.
The study was conducted using two first-semester calculus classes taught by the researcher in a single semester. One class was assigned traditional homework and the other was assigned online homework that used the attempt–feedback–reattempt approach. The summaries are based on data from the study.
- a. What is the research objective?
- b. Is this study an observational study or experiment?
- c. Give an example of how the researcher attempted to control variables in the study.
- d. Explain why assigning homework type to entirely separate classes can confound the conclusions of the study.
- e. For the data in the table, (i) identify the variables, (ii) indicate whether the variables are qualitative or quantitative, and (iii) for each quantitative variable, indicate whether the variable is discrete or continuous.
Source: Journal of Computer in Mathematics and Science Teaching 26(1):55–73, 2007
- f. What type of variable is letter grade? What level of measurement is letter grade? Do you think presenting the data in a table from A to F would be a better representation of the data than presenting it in a graph?
- g. What type of graph is displayed?
- h. Could the data in the graph be presented in a pie chart? If so, what is the “whole”? If not, why not?
- i. Considering the students with no prior college experience, how might the table and the graph generate conflicting conclusions?
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Chapter 2 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 2.1 - Define raw data in your own words.Ch. 2.1 - A frequency distribution lists the _____ of...Ch. 2.1 - In a relative frequency distribution, what should...Ch. 2.1 - What is a bar graph? What is a Pareto chart?Ch. 2.1 - Flu Season The pie chart shown, the type we see in...Ch. 2.1 - Cosmetic Surgery This USA Today type chart shows...Ch. 2.1 - Most Valuable Player The following Pareto chart...Ch. 2.1 - Poverty The U.S. Census Bureau uses money income...Ch. 2.1 - Divorce The following graph represents the results...Ch. 2.1 - Identity Theft Identity fraud occurs when someone...
Ch. 2.1 - Made in America A random sample of 2163 adults...Ch. 2.1 - Desirability Attributes A random sample of 2163...Ch. 2.1 - College Survey In a national survey conducted by...Ch. 2.1 - College Survey In a national survey conducted by...Ch. 2.1 - Use the Internet? The Gallup organization...Ch. 2.1 - Dining Out A sample of 521 adults was asked, How...Ch. 2.1 - NW Texting A survey of U.S. adults and teens (ages...Ch. 2.1 - Educational Attainment The educational attainment...Ch. 2.1 - Dream Job A survey of adult men and women asked,...Ch. 2.1 - Car Color A survey of 100 randomly selected autos...Ch. 2.1 - Prob. 21AYUCh. 2.1 - Bachelor Party In a survey conducted by Opinion...Ch. 2.1 - Favorite Day to Eat Out A survey was conducted by...Ch. 2.1 - Prob. 25AYUCh. 2.1 - Prob. 26AYUCh. 2.1 - Prob. 27AYUCh. 2.1 - StatCrunch Survey Choose a qualitative variable...Ch. 2.1 - Putting It Together: Online Homework Keeping...Ch. 2.1 - When should relative frequencies be used when...Ch. 2.1 - Prob. 31AYUCh. 2.1 - Prob. 32AYUCh. 2.1 - Prob. 33AYUCh. 2.2 - The categories by which data are grouped are...Ch. 2.2 - The _____ class limit is the smallest value within...Ch. 2.2 - The _____ is the difference between consecutive...Ch. 2.2 - Prob. 4AYUCh. 2.2 - Prob. 5AYUCh. 2.2 - Prob. 6AYUCh. 2.2 - True or False: The shape of the distribution shown...Ch. 2.2 - Prob. 8AYUCh. 2.2 - Rolling the Dice An experiment was conducted in...Ch. 2.2 - Car Sales A car salesman records the number of...Ch. 2.2 - IQ Scores The following frequency histogram...Ch. 2.2 - Alcohol-Related Traffic Fatalities The frequency...Ch. 2.2 - In Problems 13 and 14, for each variable...Ch. 2.2 - In Problems 13 and 14, for each variable...Ch. 2.2 - Misery Index The following time-series plot shows...Ch. 2.2 - Prob. 16AYUCh. 2.2 - Predicting School Enrollment To predict future...Ch. 2.2 - Free Throws In an experiment, a researcher asks a...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - In Problems 1922, determine the original set of...Ch. 2.2 - find (a) the number of classes, (b) the class...Ch. 2.2 - Earthquakes The following data represent the...Ch. 2.2 - In Problems 25 and 26, construct (a) a relative...Ch. 2.2 - In Problems 25 and 26, construct (a) a relative...Ch. 2.2 - NW Televisions in the Household A researcher with...Ch. 2.2 - Waiting The data below represent the number of...Ch. 2.2 - NW Gini Index The Gini Index is a measure of how...Ch. 2.2 - Average Income The following data represent the...Ch. 2.2 - Cigarette Tex Rates The table shows the tax, in...Ch. 2.2 - Dividend Yield A dividend is a payment from a...Ch. 2.2 - NW Violent Crimes Violent crimes include murder,...Ch. 2.2 - Volume of Altria Group Stock The volume of a stock...Ch. 2.2 - Prob. 35AYUCh. 2.2 - Prob. 36AYUCh. 2.2 - Prob. 37AYUCh. 2.2 - Prob. 38AYUCh. 2.2 - Prob. 39AYUCh. 2.2 - Prob. 40AYUCh. 2.2 - NW Violent Crimes Use the violent crime rate data...Ch. 2.2 - Academy Award Winners The following data represent...Ch. 2.2 - Prob. 43AYUCh. 2.2 - Sullivan Survey Choose a continuous quantitative...Ch. 2.2 - Prob. 46AYUCh. 2.2 - Prob. 47AYUCh. 2.2 - Waiting Draw a dot plot of the waiting data from...Ch. 2.2 - Prob. 49AYUCh. 2.2 - Prob. 50AYUCh. 2.2 - Prob. 51AYUCh. 2.2 - Prob. 52AYUCh. 2.2 - Prob. 53AYUCh. 2.2 - Putting It Together: Which Graphical Summary?...Ch. 2.2 - Prob. 55AYUCh. 2.2 - Prob. 56AYUCh. 2.2 - Discuss the advantages and disadvantages of...Ch. 2.2 - Prob. 58AYUCh. 2.2 - Describe the situations in which it is preferable...Ch. 2.2 - Sketch four histogramsone skewed right, one skewed...Ch. 2.2 - What type of variable is required when drawing...Ch. 2.3 - Inauguration Cost The following is a USA...Ch. 2.3 - Burning Calories The following is a USA Today-type...Ch. 2.3 - NW Median Earnings The graph shows the median...Ch. 2.3 - Union Membership The following relative frequency...Ch. 2.3 - NW Robberies A newspaper article claimed that the...Ch. 2.3 - Car Accidents An article in a student newspaper...Ch. 2.3 - Tax Revenue The following histogram drawn in...Ch. 2.3 - You Explain It! Oil Reserves The U.S. Strategic...Ch. 2.3 - NW Cost of Kids The following is a USA Today-type...Ch. 2.3 - Worker Injury The safety manager at Klutz...Ch. 2.3 - Health Care Expenditures The following data...Ch. 2.3 - Prob. 12AYUCh. 2.3 - NW Overweight Between 1980 and 2012, the number of...Ch. 2.3 - Ideal Family Size The following USA Today-type...Ch. 2.3 - National League Baseball MVP The following pie...Ch. 2.3 - Prob. 16AYUCh. 2 - Effective Commercial Harris Interactive conducted...Ch. 2 - Weapons Used in Homicide The following frequency...Ch. 2 - Live Births The following frequency distribution...Ch. 2 - Political Affiliation One hundred randomly...Ch. 2 - Family Size A random sample of 60 couples married...Ch. 2 - Home Ownership Rates The table shows the home...Ch. 2 - Diameter of a Cookie The following data represent...Ch. 2 - Time Online The following data represent the...Ch. 2 - Grade Inflation The side-by-side bar graph to the...Ch. 2 - Income Distribution The following data represent...Ch. 2 - Misleading Graphs In 2013, the average earnings of...Ch. 2 - High Heels The graphic to the right is a USA Today...Ch. 2 - The graph shows the ratings on Yelp for Hot Dougs...Ch. 2 - A random sample of 1005 adult Americans was asked,...Ch. 2 - Interested in knowing the educational background...Ch. 2 - The following data represent the number of cars...Ch. 2 - Dr. Paul Oswiecmiski randomly selects 40 of his...Ch. 2 - The following data represent the time (in minutes)...Ch. 2 - The data below shows birth rate and per capita...Ch. 2 - The following is a USA Today-type graph. Do you...Ch. 2 - A bar graph or pie chart (or both) that depicts...Ch. 2 - A histogram that displays the distribution of...Ch. 2 - Six histograms displaying tornado duration for...Ch. 2 - A bar chart that shows the relationship between...Ch. 2 - A bar chart that shows the relationship between...Ch. 2 - A general summary of your findings and...
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