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Brase & Brase - Understanding Basic Statistics 8/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 54 / 91

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

Last Saved : n/a Saving...  ()

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Question
Points
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2/3 20/20 15/15 1/4 1/3 –/3 –/4 3/4 0/1 7/7 5/9 –/18
Total
54/91 (59.3%)

  • Instructions

    In Understanding Basic Statistics, 8th Edition, by Charles Brase and Corrinne Pellillo Brase, published by Cengage Learning, students see the real-world significance of statistics and engage with features, such as the Brase’s Guided Exercises, that help them dive into the world of statistics step-by-step. The use of the graphing calculator, Microsoft® Excel®, MINITAB®, MINITAB EXPRESS, and SPSS® is covered, but not required. Help students overcome their apprehension about statistics and master the subject with Brase/Brase's Understanding Basic Statistics. A condensed and more streamlined version of the authors' best-selling Understandable Statistics, 12th Edition, this resource offers instructors an effective way to teach the essentials of statistics, including early coverage of regression, within a more limited time frame.

    All questions have Read Its.

    New for Spring 2021! Question 1 is an example of a Concept Video Question. (CV) Concept Video questions provide students with a Concept Video along with two to three comprehension questions. Concept Videos are 7-10 minutes in length and are designed to help students with big picture understanding of statistics.

    New for Spring 2021! Question 2 is an example of a new Select Your Scenario question type. (SYS) Select Your Scenario problems provide students with 3 different contexts to choose from. They select the scenario most relevant to them, and then solve the problem. Regardless of which scenario the student chooses, they will be required to answer questions demonstrating knowledge of a learning objective, making them the perfect questions to assign toward the end of a chapter. Students can use SALT to answer this question.

    Question 3 is multipart.

    Question 5 has a tree diagram (waplots).

    Question 6 uses mathPad.

    Question 7 contains a Master It.

    Question 8 is a Stats in Practice Question that demonstrates the use of videos displayed within a question, followed by multiple-choice and discussion questions in a unique two-part accordion-style type of display.

    Question 9 is a Test Bank question that highlights the ability to grade short answer style questions automatically using multiple choice.

    Question 10 is a Simulation Question utilizing the JMP Applet.

    Question 11 is an example of a Statistical Lab.

    Question 12 highlights Milestone 1, the first step in presenting and tracking Project Milestones for a statistical research project. 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.

    The answer key and solutions will display after the first submission for demonstration purposes. Instructors can configure these to display after the due date or after a specified number of submissions.

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. 2/3 points  |  Previous Answers BBBasicStat8 1.CE.001.CV. My Notes
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1 2 3
0/1 1/1 1/1
6/100 3/100 1/100
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2/3
 
Watch the video below then answer the questions that follow.
  1. What is the first step in the statistical research process?
        
  2. It is important to have very strong math skills in order to be successful in a statistics course.
        
  3. Statistics is used in which of the following industries?
        
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2. 20/20 points  |  Previous Answers BBBasicStat8 7.SYS.002.S. My Notes
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 2/100 2/100 3/100 1/100 2/100 1/100 2/100 3/100 1/100 1/100 2/100
Total
20/20
 
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) 17% and (b) 26%.
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) $210 and (b) $100.
The dataset consists of data recorded across one semester including an index number that puts the observations in chronological order, the day of the week, and the total sales in dollars.
†http://jse.amstat.org/jse_data_archive.htm
Index Day of Week Sales($)
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) 72 inches (6'0") and (b) 86 inches (7'2").
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.
Pick your topic.
Choose the topic on which you would like to be assessed. Once you select your scenario, you cannot change your topic.
     Correct: Your answer is correct.
Note: If you select Skip, you will be assessed on the Travel and Tourism topic.
Question
Select Your Scenario:
First, select the tab that corresponds to the topic you chose above.
Note: Click the SALT button in the tab corresponding to the topic you chose.
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) 17% and (b) 26%.
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
Import the dataset into SALT for analyzing.
A button hyperlink to the SALT program that reads: Use SALT.
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) $210 and (b) $100.
The dataset consists of data recorded across one semester including an index number that puts the observations in chronological order, the day of the week, and the total sales in dollars.
†http://jse.amstat.org/jse_data_archive.htm
Index Day of Week Sales($)
1 Tuesday 199.95
2 Wednesday 195.74
3 Thursday 102.68
4 Friday 162.88
5 Monday 101.76
Import the dataset into SALT for analyzing.
A button hyperlink to the SALT program that reads: Use SALT.
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 72 inches (6'0") and (b) 86 inches (7'2").
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
Import the dataset into SALT for analyzing.
A button hyperlink to the SALT program that reads: Use SALT.
After you have clicked the tab for your selected topic and read the problem, answer the questions below.
(a)
Use SALT to summarize the data and fill in the following table, rounding values to four decimal places as needed.
Variable N Mean Standard Deviation Median Minimum Value Maximum Value
Numerical Variable 120 Correct: Your answer is correct. seenKey

120

 		18.4866 Correct: Your answer is correct. seenKey

18.4866

 		3.4278 Correct: Your answer is correct. seenKey

3.4278

 		18.49 Correct: Your answer is correct. seenKey

18.49

 		11.3 Correct: Your answer is correct. seenKey

11.3

 		28.05 Correct: Your answer is correct. seenKey

28.05
(b)
Create a histogram with "Starting Point" and "Bin/Class Width" values asked for.
The distribution for this variable is Correct: Your answer is correct. seenKey

is

 mound shaped and is Correct: Your answer is correct. seenKey

is

 at least roughly symmetric.
(c)
Determine the relative standing for the two data values of interest using the z-score formula appropriate for samples. Round your answers to two decimal places.
Data value (a).
z = 
x − x
s
 
 = -0.43 Correct: Your answer is correct. seenKey

-0.43
Data value (b).
z = 
x − x
s
 
 = 2.19 Correct: Your answer is correct. seenKey

2.19
Data value (a) is 0.43 Correct: Your answer is correct. seenKey

0.43

 standard deviations below Correct: Your answer is correct. seenKey

below

 the mean whereas data value (b) is 2.19 Correct: Your answer is correct. seenKey

2.19

 standard deviations above Correct: Your answer is correct. seenKey

above

 the mean. (Remember to take the absolute value of the z-score to determine the number of standard deviations each data value is away from the mean.)
(d)
Most data points are within three standard deviations of the mean. In other words, most observations will have a z-score that is larger than 3 and less than 3.
Find the data value with a z-score of −3, rounded to two decimal places.
x = z · s + x
 = 8.20 Correct: Your answer is correct. seenKey

8.20
Find the data value with a z-score of 3, rounded to two decimal places.
x = z · s + x
 = 28.77 Correct: Your answer is correct. seenKey

28.77
Our sample's minimum value is not Correct: Your answer is correct. seenKey

is not

 further than 3 standard deviations below the mean. Our sample's maximum is not Correct: Your answer is correct. seenKey

is not

 further than 3 standard deviations above the mean. Upon further inspection of the histogram in SALT it can be observed that all Correct: Your answer is correct. seenKey

all

 observations would have a z-score between −3 and 3.
You have now completed the question.
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3. 15/15 points  |  Previous Answers BBBasicStat8 5.1.022. My Notes
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1 1/1
1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100 1/100
Total
15/15
 
Betting odds are usually stated against the event happening (against winning).
The odds against event W are the ratio
P(not W)
P(W)
 = 
P(Wc)
P(W)
.
In horse racing, the betting odds are based on the probability that the horse does not win.
(a) Show that if we are given the odds against an event W as a:b, the probability of not W is given by
P(Wc) = 
a
a + b
.
P(W) =  Correct: Your answer is correct. − P(not W)
 
P(not W)
P(W)
 = 
a
Correct: Your answer is correct.
 
P(not W)
Correct: Your answer is correct. − P(not W)
 = 
a
Correct: Your answer is correct.
b[P(not W)] =  Correct: Your answer is correct. [1 − P(not W)]
b[P(not W)] + a[P(not W)] =  Correct: Your answer is correct.
(a + b)[P(not W)] =  Correct: Your answer is correct.
P(not W) = 
Correct: Your answer is correct.
a + Correct: Your answer is correct.

(b) In a recent Kentucky Derby, the betting odds for the favorite horse were 7 to 4. Use these odds to compute the probability that the favorite horse would lose the race. What is the probability that the favorite horse would win the race? (Round your answers to two decimal places.)
P(lose) = Correct: Your answer is correct.
P(win) = Correct: Your answer is correct.

(c) In the same race, the betting odds for a second horse were 4 to 1. Use these odds to estimate the probability that this horse would lose the race. What is the probability that this horse would win the race? (Round your answers to two decimal places.)
P(lose) = Correct: Your answer is correct.
P(win) = Correct: Your answer is correct.

(d) One of the horses was a long shot, with betting odds of 25 to 1. Use these odds to estimate the probability that the long shot would lose the race. What is the probability the horse would win the race? (Round your answers to two decimal places.)
P(lose) = Correct: Your answer is correct.
P(win) = Correct: Your answer is correct.
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4. 1/4 points  |  Previous Answers BBBasicStat8 5.2.022. My Notes
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1/1 –/1 –/1 –/1
1/100 0/100 0/100 0/100
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1/4
 
You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.
(a) Are the outcomes on the two cards independent? Why?
     Correct: Your answer is correct.

(b) Find P(3 on 1st card and 10 on 2nd). (Enter your answer as a fraction.)


(c) Find P(10 on 1st card and 3 on 2nd). (Enter your answer as a fraction.)


(d) Find the probability of drawing a 10 and a 3 in either order. (Enter your answer as a fraction.)

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5. 1/3 points  |  Previous Answers BBBasicStat8 5.3.006. My Notes
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1/1 0/1 0/1
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1/3
 
Consider the following.
(a) Draw a tree diagram to display all the possible outcomes that can occur when you flip a coin and then toss a die.

Correct: Your answer is correct.

(b) How many outcomes contain a head and a number greater than 4?
Incorrect: Your answer is incorrect.

(c) Probability extension: Assuming the outcomes displayed in the tree diagram are all equally likely, what is the probability that you will get a head and a number greater than 4 when you flip a coin and toss a die? (Round your answer to three decimal places.)
Incorrect: Your answer is incorrect.
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–/3
 
The qualified applicant pool for four management trainee positions consists of six women and six men.
(a) How many different groups of applicants can be selected for the positions?


(b) How many different groups of trainees would consist entirely of women?


(c) Probability extension: If the applicants are equally qualified and the trainee positions are selected by drawing the names at random so that all groups of four are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)

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7. –/4 points BBBasicStat8 6.3.025.MI. My Notes
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–/4
 
A fishing lake camp boasts that about 90% of the guests catch lake trout over 20 pounds on a 4-day fishing trip. Let n be a random variable that represents the first trip to the camp on which a guest catches a lake trout over 20 pounds.
(a) Write out a formula for the probability distribution of the random variable n.
P(n) =


(b) Find the probability that a guest catches a lake trout weighing at least 20 pounds for the first time on trip number 3. (Round your answer to three decimal places.)


(c) Find the probability that it takes more than three trips for a guest to catch a lake trout weighing at least 20 pounds. (Round your answer to three decimal places.)


(d) What is the expected number of fishing trips that must be taken to catch the first lake trout over 20 pounds? Hint: Use μ for the geometric distribution and round. (Round your answer to two decimal places.)
trips

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8. 3/4 points  |  Previous Answers BBBasicStat8 8.CE.501.XP.SIP. My Notes
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1/1 1/1 0/1 1/1
1/100 2/100 3/100 1/100
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3/4
 

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?
         Correct: Your answer is correct.
    Correct. The video opens with a discussion of the percentage of high-school students who report they use sunscreen, indicating that researchers at the CDC estimate that percentage has fallen from 68% in 2001 to 56% in 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?
         Correct: Your answer is correct.
    Correct. In almost all research studies researchers cannot reach and talk to all members of the target population. The target population in this case is "high-school students." Instead, researchers study some members of the population and estimate the desired value for the population using the sample.

    Since the video explicitly says "the data shows," we can be assured that the CDC's estimates are based on research rather than guesses made by experts.
    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?
        

  • Part II - Discussion Question

    The video describes a study that concludes that children who "don't get enough sleep are at a 20% higher risk for obesity." The video says one reason for this association between lack of sleep and obesity might be because those who get less sleep are more fatigued during the day leading to poorer food choices. Describe some other possible explanations for why these two variables might be related.

    Score: 1 out of 1

    Comment:

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0/1
 
A researcher is predicting that a treatment will increase scores. If this treatment is evaluated using a directional hypothesis test, then the critical region for the test would be the following.
     Incorrect: Your answer is incorrect.
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1/1 1/1 1/1 1/1 1/1 1/1 1/1
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7/7
 
Waiters at a restaurant want to know if there is a relationship between the amount they are given in tips and the amount of the meal. Here is the graph along with the output from the regression table (without the regression equation). Use the JMP applet to answer the questions below.

  • JMP Applet

  • (a)

    There is a fairly strong positive linear relationship between bill amount and tip amount. True or false?
         Correct: Your answer is correct.

  • (b)

    Which variable are you trying to predict from a known variable?
    Known variable
         Correct: Your answer is correct.
    Variable to predict
        

  • (c)

    As the value of the bill amount increases, does the tip amount increase or decrease?
         Correct: Your answer is correct.

  • (d)

    One person paid a bill of $60.72 and tipped $15.00. What sort of tip was the waiter given?
         Correct: Your answer is correct.

  • (e)

    What is the linear regression equation? (Round your answers to three decimal places.)
    estimated tip amount = Correct: Your answer is correct. + Correct: Your answer is correct. ✕ (bill amount)
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11. 5/9 points  |  Previous Answers BBBasicStat8 2.Lab.001.Excel. My Notes
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1/1 1/1 1/1 1/1 –/1 1/1 –/1 –/1 –/1
1/100 2/100 2/100 2/100 0/100 1/100 0/100 0/100 0/100
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5/9
 

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...."
    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 circle graphs.

  • About the Data

    For this lab, you need to download the hintsdata.csv dataset. The variables you will be working with are as follows.
    • Age—assume each person's age was rounded to the nearest year; for example, a person in the age
      range [19.5, 20.5)
       would have a reported age of 20, and a person in the
      range [20.5, 21.5)
       would have a reported age of 21, and so on.
    • Gender—the gender of the respondent; categories include 1 = Male and 2 = Female.
    • GeneralHealth—how the respondent rates their overall health; categories include 1 = Excellent, 2 = Very Good, 3 = Good, 4 = Fair, 5 = Poor.

  • General Notes

    A few important aspects of creating effective graphical displays of data include the following.
    1. labeling your graphs with descriptive titles
    2. ensuring that the x- and y-axes have appropriate labels
    3. setting the axes to meaningful and/or useful scales
    Your graphs are expected to have these three characteristics.

  • Tech Guide

    You will need to use the Excel Tech Guide.

  • Lab Questions

    Create a histogram of the variable Age with class intervals 10 years wide. (Submit a file with a maximum size of 1 MB.)
    hintsdata.csv

    Score: 1 out of 1

    Comment:

    Describe the shape of the above histogram.
    The distribution is Correct: Your answer is correct. , centered near Correct: Your answer is correct. , with Correct: Your answer is correct. variability.
    Create a circle graph of the variable GeneralHealth. (Submit a file with a maximum size of 1 MB.)

    This answer has not been graded yet.

    Describe how the majority of people in the survey feel about their general state of health.
    The majority of people in the survey feel that their general state of health is Correct: Your answer is correct. .
    You wish to determine if the age of the respondents who perceive themselves to be in good health differs from the age of the respondents who perceive themselves to be in poor health. Do this by creating two histograms. For the first histogram, plot the variable Age using only the data from respondents who rate their overall health as Excellent, Very Good, or Good. For the second histogram, plot the variable Age using only the data from respondents who rate their overall health as Fair or Poor. Make sure to label your histograms and make sure that they have the same limits for the x-axis, y-axis, and class intervals, so that they can be directly compared. (Submit a file with a maximum size of 1 MB.)

    This answer has not been graded yet.

    Briefly discuss.

    This answer has not been graded yet.

    Compare how men and women rate their general state of health using a comparative chart. Using your chart, briefly compare and contrast how men and women rate their general state of health.

    This answer has not been graded yet.

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Points
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
–/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100
Total
–/18
 

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?"

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