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Brase & Brase-Understandable Statistics (AP) 13/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 1 / 89

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

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  • Instructions

    Guide students in overcoming apprehension and mastering statistics with Brase/Brase/Seibert/Dolor's UNDERSTANDABLE STATISTICS: CONCEPTS AND METHODS (AP Edition), 13th Edition. This thorough, yet reader-friendly, program provides clear guidance and informal advice while emphasizing the connection between statistics and today's world. In addition, WebAssign's course management system includes news videos, interactive visual data, online stats labs and open response concept questions to further engage students in statistics.

    WebAssign provides a wide range of exercises that enable you to:
    • Prepare for the AP® Statistics Exam (#1: Sample Question from Fast Track to a Five test preparation guid)
    • Gain Student Interest (#2-4: Features Stats in Practice question, Select Your Scenario question, PJT question)
    • Explore Real Data with Technology (#5-7: Features SALT question, SALT Tutorial question, Stats Lab)
    • Improve Conceptual Understanding (#8-11: Features Concept Video question, Feedback questions, Read It, Watch It, Master It)
    This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

Assignment Submission

For this assignment, you submit answers by question parts. The number of submissions remaining for each question part only changes if you submit or change the answer.

Assignment Scoring

Your last submission is used for your score.

1. 0/1 points  |  Previous Answers BBUnderStat13HS FT5.1.018. My Notes
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  • This exercise will help preparation for the AP® Exam.
  • This is a sample multiple-choice question from the Fast Track to a Five (FT5) AP® test preparation guide. This guide includes strategies for taking the exam, a diagnostic test so that students can assess their level of preparedness, chapter-review sections with self-study questions in AP® format, and two complete practice tests in AP® format.

A teacher found that the mean number of hours her 12 students spent studying for an AP® Statistics exam per week was 6.7 hours. A new student from across town transferred in and reported studying 11 hours per week. What is the new mean?
     Incorrect: Your answer is incorrect.
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2. –/4 points BBUnderStat13HS 7.CE.002.SIP. My Notes
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  • This exercise will gain student interest.
  • Stats in Practice video questions show your students how statistics is applied in the real world with short news videos introducing each chapter followed by multiple-choice and discussion questions.

Stats in Practice

  • Part I - Multiple Choice Questions

    The video opens with: "Fewer young people are putting on sunscreen when they are having fun in the sun." They support this conclusion by citing the results of a Center for Disease (CDC) study, in which researchers estimated what value in both 2001 and 2011?
        
    In this CDC study, why is it correct to say that researchers "estimated" a particular population characteristic rather than say the researchers "calculated" that value?
        
    The video discusses a study conducted by University of Michigan researchers who found that "close community ties can reduce heart attack risk for those over 50." In this study, researchers probably collected a sample of individuals, and for each, measured numerical variables (such as age or weight) as well as categorical variables (such as gender or whether a person has had a heart attack). Which of the following is also a numerical variable that researchers may have measured in this study?
        
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3. –/20 points BBUnderStat13HS 6.3.SYS.002.S. My Notes
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  • This exercise will gain student interest.
  • Select Your Scenario questions provide students with 3 different contexts to choose from. Students select the scenario most relevant to them, and then solve the problem which requires them to answer questions demonstrating knowledge of a learning objective.

Select Your Scenario:
This problem contains data for 3 different scenarios: Travel and Tourism, Business, and Sports.
Read the scenarios, and once finished, you will be asked to select which scenario you would like to be assessed on.
You will not be asked to answer questions for the other 2 scenarios.
When you travel by airplane, have you ever wondered about whether your flight might be delayed from taking off or from landing? This is an important consideration as you will need to arrange transportation to your final destination after you arrive at the airport. To help track airline performance, the U.S. Bureau of Transportation Statistics of the Department of Transportation publishes statistics. For the purposes of this dataset, a flight is considered delayed if it arrived at (or departed from) the gate 15 minutes or more after the scheduled arrival (or departure) time as reflected in the Computerized Reservation System.
We will explore the distribution of monthly percentage of domestic flights delayed in the United States using a sample of data for the years 2010 through 2019 by making a histogram with bins starting at 9% and a bin width of 3%. We will then determine the z-scores for a delayed percentage of (a) 15% and (b) 27%.
The dataset consists of the percentage of flights delayed for each month for years 2010 through 2019 for domestic flights in the United States.
†Airline Performance: Bureau of Transportation Statistics. (2020, September 1). On-Time Performance - Flight Delays at a Glance. United States Department of Transportation. https://www.transtats.bts.gov/HomeDrillChart.asp
Year Month Delayed (%)
2010 January 18.58
2010 February 19.66
2010 March 18.3
2010 April 13.83
2010 May 18.55
Undergraduate business students at a public university in the midwestern United States ran a café one semester and collected data each business day to help make sound business decisions and to be more profitable. Among other things, the daily total cash register sales were recorded.
We will explore the distribution of daily total sales for this café using a sample of data from one semester by making a histogram of Sales ($) with bins starting at $60 and a bin width of $25. We will then determine the z-scores for a day when total sales were (a) $200 and (b) $105.
The dataset consists of data recorded across one semester including an index number that puts the observations in chronological order, the day of the week, and the total sales in dollars.
†http://jse.amstat.org/jse_data_archive.htm
Index Day of Week Sales($)
1 Tuesday 199.95
2 Wednesday 195.74
3 Thursday 102.68
4 Friday 162.88
5 Monday 101.76
It goes without saying that professional basketball players are tall. Height obviously matters when it comes to playing basketball and tall people are more efficient because they can reach the basket easily, allowing for more points per game, as well as more rebounds and blocked shots. If you watch National Basketball Association (NBA) games regularly, you certainly notice that many players are quite tall.
We will explore the distribution of NBA player heights using a sample of players active in the 2019-2020 season by making a histogram of "HEIGHT (INCHES)" with bins stating at 68 inches and a bin width of 2 inches. We will then determine the z-scores for players who are (a) 70 inches (5'10") and (b) 84 inches (7'0").
The dataset consists of the NBA player's name, team, and height, measured in inches, for players active in the 2019-2020 season.
†https://www.nba.com/stats/players/bio/
Player Team Height (Inches)
Aaron Gordon ORL 80
Aaron Holiday IND 73
Abdel Nader OKC 77
Adam Mokoka CHI 77
Admiral Schofield WAS 77
Click the link below to begin the question by choosing a topic.
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4. –/18 points BBUnderStat13HS PJT.1.001. My Notes
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  • This exercise will gain student interest.
  • Project Milestones allow instructors to assign and track long-term projects that enable students to design and conduct their own statistical research to help solidify big picture understanding.

Milestone 1: Research Design

  • Question 1

    What is your research question?
    Your research question should be based on a topic that interests you and that you can reasonably obtain data for. Try to make your research question as specific as possible. Form a research question about a population that you will be able to sample. Some examples of research questions are: "Are students at my college able to taste the difference between regular coffee and decaffeinated coffee?", "Does the GPA, age, and number of credits needed for graduation for juniors at my university differ between transfer students and non-transfer students?", "Have the new water rates in my water district changed residents' water usage habits?", and "Do recent graduates from the business department at my university get larger starting salaries on average if they have participated in a summer internship?"

    This answer has not been graded yet.

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5. –/4 points BBUnderStat13HS 2.1.013.S. My Notes
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  • This exercise will explore real data with technology.
  • Statistical Analysis and Learning Tool questions in WebAssign include an embedded data analysis tool that helps your students easily visualize and analyze data.

The following data represent salaries, in thousands of dollars, for employees of a small company. Notice the data have been sorted in increasing order.
54 55 55 57 57 59 60 65 65 65 66 68 68
69 69 70 70 70 75 75 75 75 77 82 82 82
88 89 89 91 91 97 98 98 98 280
A button hyperlink to the SALT program that reads: Use SALT.
(a) Make a histogram using the class boundaries 53.5, 99.5, 145.5, 191.5, 237.5, 283.5.


(b) Look at the last data value. Does it appear to be an outlier? Could this be the owner's salary?
    

(c) Eliminate the high salary of 280 thousand dollars. Make a new histogram using the class boundaries 53.5, 62.5, 71.5, 80.5, 89.5, 98.5.


Does this histogram reflect the salary distribution of most of the employees better than the histogram in part (a)?
    
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6. –/18 points BBUnderStat13HS 2.1.ST.001.S. My Notes
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  • This exercise will explore real data with technology.
  • Statistical Analysis and Learning Tool Tutorial questions help students understand how to use SALT in their WebAssign assignments with step-by-step instructions.

SALT Tutorial
The following exercise will guide you through how to use SALT to make a histogram.
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7. –/9 points BBUnderStat13HS 2.Lab.001.Excel. My Notes
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  • This exercise will explore real data with technology.
  • Students perform real statistical analysis in class or online with pre-built, chapter-specific Stats Labs using the data analysis tool of your choice (R, JMP, Minitab, SPSS, Excel or Graphing Calculator) to analyze a real dataset—facilitating whole-picture learning.

Statistical Lab

  • Background

    The National Institutes of Health conducts ongoing surveys of US adults called the Health Information National Trends Survey (hereafter abbreviated HINTS).
    From the National Institutes of Health: "The HINTS data collection program was created to monitor changes in the rapidly evolving field of health communication. Survey researchers are using the data to understand how adults 18 years and older use different communication channels, including the Internet, to obtain vital health information for themselves and their loved ones...."
    A doctor and a patient are talking in an examination room.
    The most recent round of data collection occurred over the course of September 2013–November, 2013 in HINTS 4 Cycle 3. In this lab, you will be using a subset of the HINTS 4 Cycle 3 data to practice creating effective and informative graphical representations of data, which may include histograms and pie charts.
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8. 1/3 points  |  Previous Answers BBUnderStat13HS 1.CE.001.CV. My Notes
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  • This exercise will improve conceptual understanding.
  • Concept Video questions are 7-10 minutes in length and are designed to help students with big picture understanding of statistics by discussing a concept followed by two to three comprehension questions.

Watch the video below then answer the questions that follow.
  1. What is the first step in the statistical research process?
         Incorrect: Your answer is incorrect.
  2. It is important to have very strong math skills in order to be successful in a statistics course.
         Incorrect: Your answer is incorrect.
  3. Statistics is used in which of the following industries?
         Correct: Your answer is correct.
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9. –/3 points BBUnderStat13HS 9.2.012. My Notes
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  • This exercise will improve conceptual understanding.
  • Personalized Feedback: With the recent upgrade to the latest version of Mathematica, WebAssign will provide even more support to your students through additional question feedback for select questions. This feedback addresses common student mistakes including imprecise answer formatting, improper rounding, inadvertently including or not including a sign, incorrect fraction formatting, improper use of variables or capitalization, missing or incorrect exponents and more.

The following Minitab display gives information regarding the relationship between the body weight of a child (in kilograms) and the metabolic rate of the child (in 100 kcal/ 24 hr).
Predictor Coef SE Coef T P
Constant 0.8570 0.4148 2.07 0.0843
Weight 0.41807 0.02978 14.04 0.0000
  • S = 0.517508,    
  • R-Sq = 97.0%
(a)
Write out the least-squares equation. (Let x be the weight of a child in kilograms.)
ŷ =
(b)
For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Use 5 decimal places.)
(c)
What is the value of the correlation coefficient r? (Round your answer to three decimal places.)
r =
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10. –/3 points BBUnderStat13HS 7.3.030. My Notes
Question Part
Points
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  • This exercise will improve conceptual understanding.
  • Personalized Feedback: With the recent upgrade to the latest version of Mathematica, WebAssign will provide even more support to your students through additional question feedback for select questions. This feedback addresses common student mistakes including imprecise answer formatting, improper rounding, inadvertently including or not including a sign, incorrect fraction formatting, improper use of variables or capitalization, missing or incorrect exponents and more.
  • Read It links are available as a learning tool under each question so students can quickly jump to the corresponding section of the eTextbook.

Why do we use 1⁄4 in place of p(1 − p) in the formula below for sample size when the probability of success p is unknown?
n = 
1
4
zc
E
2
 
 if you do not have a preliminary estimate for p

(a)

Show that
p(1 − p) = 
1
4
 − 
p − 
1
2
2
 
.
1
4
 − 
p − 
1
2
2
 
 = 
1
4
 − 
p2 +
 = p +
 = p(1 − p)

(b)

Why is p(1 − p) never greater than
1
4
?
    
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11. –/6 points BBUnderStat13HS 7.1.020.MI. My Notes
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  • This exercise will improve conceptual understanding.
  • Students get just-in-time learning support with Watch It videos that contain narrated and closed-captioned videos walking students through the proper steps to solve a similar problem.
  • Master It tutorials are an optional student-help tool available within select questions for just-in-time support. Students can use the tutorial to guide them through the problem-solving process step-by-step using different numbers.

Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.†Reference: Hummingbirds by K. Long and W. Alther Suppose a small group of 12 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with σ = 0.24 gram.
(a)
Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)
lower limit upper limit margin of error
(b)
What conditions are necessary for your calculations? (Select all that apply.)

(c)
Interpret your results in the context of this problem.
    
(d)
Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.08 for the mean weights of the hummingbirds. (Round up to the nearest whole number.)
hummingbirds

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