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Brase & Brase - Understanding Basic Statistics 9/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 44 / 91

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

Last Saved : n/a Saving...  ()

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3/3 20/20 13/13 7/8 –/4 –/4 1/5 –/7 –/9 –/18
Total
44/91 (48.4%)

  • Instructions

    In Understanding Basic Statistics, 9th Edition, by Charles Henry Brase, Corrinne Pellillo Brase, Jason Dolor, and James Seibert 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, 13th 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 textbook questions have Read It links to the textbook so students can read more about the concepts they are working with.

    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. 3/3 points  |  Previous Answers BBBasicStat9 1.CE.001.CV. My Notes
Question Part
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1 2 3
1/1 1/1 1/1
3/100 4/100 1/100
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3/3
 
  • This exercise will enable you to 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?
         Correct: Your answer is correct.
  2. It is important to have very strong math skills in order to be successful in a statistics course.
         Correct: Your answer is correct.
  3. Statistics is used in which of the following industries?
         Correct: Your answer is correct.
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2. 20/20 points  |  Previous Answers BBBasicStat9 7.3.SYS.001.S. My Notes
Question Part
Points
Submissions Used
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 3/100 3/100 3/100 3/100 3/100 3/100 1/100 1/100 3/100 3/100 3/100 2/100 3/100 2/100 3/100 4/100 2/100 2/100 3/100
Total
20/20
 
  • This exercise will enable you to 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 the same learning objective, making them the perfect questions to assign toward the end of a chapter. Students use Cengage’s Statistical Analysis and Learning Tool (SALT) to answer this question.

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) 25%.
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) $205 and (b) $90.
The dataset consists of data recorded across one semester including an index number that puts the observations in chronological order, the day of the week, and the total sales in dollars.
†http://jse.amstat.org/jse_data_archive.htm
Index Day of Week Sales($)
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) 82 inches (6'10").
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) 25%.
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) $205 and (b) $90.
The dataset consists of data recorded across one semester including an index number that puts the observations in chronological order, the day of the week, and the total sales in dollars.
†http://jse.amstat.org/jse_data_archive.htm
Index Day of Week Sales($)
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 70 inches (5'10") and (b) 82 inches (6'10").
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 47 Correct: Your answer is correct. seenKey

47

 		148.2217 Correct: Your answer is correct. seenKey

148.2217

 		45.4622 Correct: Your answer is correct. seenKey

45.4622

 		150.51 Correct: Your answer is correct. seenKey

150.51

 		61.94 Correct: Your answer is correct. seenKey

61.94

 		240.87 Correct: Your answer is correct. seenKey

240.87
(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
 
 = 1.25 Correct: Your answer is correct. seenKey

1.25
Data value (b).
z = 
x − x
s
 
 = -1.28 Correct: Your answer is correct. seenKey

-1.28
Data value (a) is 1.25 Correct: Your answer is correct. seenKey

1.25

 standard deviations above Correct: Your answer is correct. seenKey

above

 the mean whereas data value (b) is 1.28 Correct: Your answer is correct. seenKey

1.28

 standard deviations below Correct: Your answer is correct. seenKey

below

 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
 = 11.84 Correct: Your answer is correct. seenKey

11.84
Find the data value with a z-score of 3, rounded to two decimal places.
x = z · s + x
 = 284.61 Correct: Your answer is correct. seenKey

284.61
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. 13/13 points  |  Previous Answers BBBasicStat9 5.1.022. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8 9 10 11 12 13
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
Total
13/13
 
  • This exercise will enable you to improve conceptual understanding.
  • This is a multipart question demonstrating how the steps of a problem can be broken down into gradable numerical entries to walk students through the process of simplifying an equation.

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) = 
1
 − P(not W)
 
P(not W)
P(W)
 = 
a
b
 
P(not W)
1 − P(not W)
 = 
a
b
b(P(not W)) = 
a
(1 − P(not W))
b(P(not W)) + a(P(not W)) = 
a
(a + b)(P(not W)) = 
a
P(not W) = 
a
a + b
(b)
In a recent Kentucky Derby, the betting odds for the favorite horse were 8 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) = P(win) =
(c)
In the same race, the betting odds for a second horse were 3 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) = P(win) =
(d)
One of the horses was a long shot, with betting odds of 26 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) = P(win) =
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4. 7/8 points  |  Previous Answers BBBasicStat9 9.2.015.S. My Notes
Question Part
Points
Submissions Used
1 2 3 4 5 6 7 8
1/1 1/1 1/1 0/1 1/1 1/1 1/1 1/1
1/100 1/100 1/100 2/100 4/100 1/100 1/100 1/100
Total
7/8
 
  • This exercise will enable you to explore real data with technology.
  • This question uses mathPad so students can input mathematical language with characters and symbols that are not on a standard keyboard. Additionally, Cengage's Statistical Analysis and Learning Tool (SALT) is embedded in the question to help students easily visualize and analyze data.

A random sample of 16 values is drawn from a mound-shaped and symmetric distribution. The sample mean is 11 and the sample standard deviation is 2. Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the population mean is 10.5.
A button hyperlink to the SALT program that reads: Use SALT.
(a)
Is it appropriate to use a Student's t distribution? Explain.
    
How many degrees of freedom do we use? (If it is not appropriate to use a Student's t distribution enter NONE.)
(b)
What are the hypotheses? (Enter != for ≠ as needed.)
H0:
μ=10.5
H1:
μ = 10.5UNDEFINED°i∞θNO SOLUTION
(c)
Compute the t value of the sample test statistic.
t =
(d)
Estimate the P-value for the test.
    
(e)
Do we reject or fail to reject H0?
    
(f)
Interpret the results.
    
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5. –/4 points BBBasicStat9 9.1.016.MI. My Notes
Question Part
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Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100
Total
–/4
 
  • This exercise will enable you to explore real data with technology.
  • This question contains a Master It and uses mathPad. 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.

Suppose you want to test the claim that a population mean equals 32. (Enter != for ≠ as needed.)
(a)
State the null hypothesis.
H0:
(b)
State the alternate hypothesis if you have no information regarding how the population mean might differ from 32.
H1:
(c)
State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may exceed 32.
H1:
(d)
State the alternative hypothesis if you believe (based on experience or past studies) that the population mean may be less than 32.
H1:

Need Help? Master It

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6. –/4 points BBBasicStat9 5.CE.002.SIP. My Notes
Question Part
Points
Submissions Used
1 2 3 4
–/1 –/1 –/1 –/1
0/100 0/100 0/100 0/100
Total
–/4
 
  • This exercise will enable you to 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.

Conditional Probability

  • Video

    Play the following video.
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7. 1/5 points  |  Previous Answers BBBasicStat9 4.2.012. My Notes
Question Part
Points
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1 2 3 4 5
–/1 1/1 0/1 0/1 0/1
0/100 1/100 1/100 1/100 1/100
Total
1/5
 
  • This exercise will help you to improve conceptual understanding.
  • This question contains 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.

We use the form
ŷ = a + bx
 for the least-squares line. In some computer printouts, the least-squares equation is not given directly. Instead, the value of the constant a is given, and the coefficient b of the explanatory or predictor variable is displayed. Sometimes a is referred to as the constant, and sometimes as the intercept.
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 0.1077
Weight 0.40511 0.02978 13.60 0.0002
  • S = 0.517508,
  • R-Sq = 97.9%
Notice that "Weight " is listed under "Predictor." This means that weight is the explanatory variable x. Its coefficient is the slope b. "Constant" refers to a in the equation
ŷ = a + bx.
(a)
Write out the least-squares equation. (Let x be the weight of a child in kilograms.)
ŷ =
0.40511+
(b)
For each 1 kilogram increase in weight, how much does the metabolic rate of a child increase? (Enter your answer to five decimal places.)
Correct: Your answer is correct.
(c)
What is the value of the correlation coefficient r? (Round your answer to four decimal places.)
r = Incorrect: Your answer is incorrect.
(d)
What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line?
Incorrect: Your answer is incorrect. %
What percentage is unexplained?
Incorrect: Your answer is incorrect. %
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8. –/7 points BBBasicStat9 4.JMP.004. My Notes
Question Part
Points
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0/100 0/100 0/100 0/100 0/100 0/100 0/100
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–/7
 
  • This exercise will enable you to improve conceptual understanding.
  • This question is a Simulation Question utilizing the JMP Applet to analyze real world data.

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

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9. –/9 points BBBasicStat9 2.Lab.001.Excel. My Notes
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Points
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1 2 3 4 5 6 7 8 9
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0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100 0/100
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–/9
 
  • This exercise will explore real data with technology.
  • This question is an example of a Statistical Lab to 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 while-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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10. –/18 points BBBasicStat9 PJT.1.001. My Notes
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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
 
  • This exercise will gain student interest.
  • This question highlights Milestone 1, the first step in presenting and tracking Project Milestones for a statistical research project.

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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