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Statistics, section 2, Fall 2019
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Brase & Brase-Understanding Basic Stats-Metric 8/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 32.51 / 68

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

Last Saved : n/a Saving... ()

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Question

Points

1	2	3	4	5	6	7	8	9	10
4.1/6.8	6.8/6.8	6.8/6.8	6.8/6.8	–/6.8	5.1/6.8	–/6.8	2.91/6.8	–/6.8	–/6.8

Total

32.51/68 (47.8%)

Instructions

In Understanding Basic Statistics (Metric Version), 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.

Question 1 is multipart.

Question 3 has a tree diagram (waplots).

Question 5 uses mathPad.

Question 6 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 7 is a Test Bank question that highlights the ability to grade short answer style questions automatically using multiple choice.

Question 8 is a Simulation Question utilizing the JMP Applet.

Question 9 is an example of a Statistical Lab.

Question 10 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. 4.1/6.8 points | Previous Answers BBBasicStat8M 5.1.022. My Notes

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(W^c)

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(W^c) =

a + b

P(W)

− P(not W)

P(not W)

P(W)

P(not W)

− P(not W)

b[P(not W)]

[1 − P(not W)]

b[P(not W)] + a[P(not W)]

(a + b)[P(not W)]

P(not W)

a +

(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) =	0.67
P(win) =	0.33

(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) =	0.75
P(win) =	0.25

(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) =	0.96
P(win) =	0.04

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2. 6.8/6.8 points | Previous Answers BBBasicStat8M 5.2.022. My Notes

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?

No. The events cannot occur together. correct

No. The probability of drawing a specific second card depends on the identity of the first card. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card. Yes. The events can occur together.

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

4/663

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

8/663

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3. 6.8/6.8 points | Previous Answers BBBasicStat8M 5.3.006. My Notes

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.

(b) How many outcomes contain a head and a number greater than 4?

(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.)

0.167

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4. 6.8/6.8 points | Previous Answers BBBasicStat8M 5.3.027. My Notes

The qualified applicant pool for five management trainee positions consists of eight women and four men.

(a) How many different groups of applicants can be selected for the positions?

792

(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 five are equally likely, what is the probability that the trainee class will consist entirely of women? (Round your answer to four decimal places.)

0.0707

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5. –/6.8 points BBBasicStat8M 6.3.025.MI. My Notes

A fishing lake camp boasts that about 30% 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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6. 5.1/6.8 points | Previous Answers BBBasicStat8M 8.SIP.501.XP. My Notes

7. –/6.8 points BBBasicStat8M 9.TB.028. My Notes

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.

entirely in the left-hand tail of the distribution cannot answer without knowing the value of the alpha level entirely in the right-hand tail of the distribution divided equally between the two tails of the distribution

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8. 2.91/6.8 points | Previous Answers BBBasicStat8M 4.JMP.004. My Notes

9. –/6.8 points BBBasicStat8M 2.Lab.001.Excel. My Notes

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.)

This answer has not been graded yet.

Describe the shape of the above histogram.

The distribution is , centered near , with 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 .

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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10. –/6.8 points BBBasicStat8M PJT.1.001. My Notes

Question Part

Points

Submissions Used

–/0.37

–/0.51

0/100

Total

–/6.8

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.
Question 2

Has any research already been done that might help with your project?

You can search your university's online database to find articles that discuss research that has already been done on your research question. Please make note of any articles or other sources that helped guide your research question and research design. You will be asked to provide references to any sources you used.

This answer has not been graded yet.
Question 3

What is your population of interest?

Your population of interest will be closely related to your research question. For instance, if you are testing the freshman 15 theory and you believe that students at your college do not gain 15 pounds on average over the course of freshman year, then your population of interest is the students at your college who have completed freshman year.

This answer has not been graded yet.
Question 4

Describe your sampling plan.

You want to ensure that your sample is representative of the population of interest. How will you target your population of interest? Sampling involves tradeoffs; you may have to settle for a convenience sample, which is fine for this project as long as you acknowledge this. Sampling is about doing the best you can with the resources you have at your disposal.

This answer has not been graded yet.
Question 5

Will this sample be representative of the population of interest? If so, why? If not, what population will the sample be representative of?

Is there any group of people within the population of interest that your sampling plan is likely to miss? For instance, if you are using a random sample of landline telephone numbers from your state in order to achieve a random sample of residents in your state, then you are missing all of the residents of your state who only have a cell phone and do not have a landline. Or, if your population of interest is all adults in your country, but you only conduct interview of adults from your local community, then your sample is only representative of the adults in your local community.

This answer has not been graded yet.

Question 6

What variables will you measure?

Make sure that the variables you choose are measurable. If you are performing an experiment where you are comparing two skin creams to determine which gives the skin a more youthful glow, how exactly will you measure "youthful glow"? Are there other variables that you will collect because they too may be of interest? Age? Gender? Level of education? Is your variable type numeric or categorical? If your variable type is numeric, is it discrete or continuous? Do your variables need to be measured using special equipment?

Variable	Type	How will you measure it?
		This answer has not been graded yet.
		This answer has not been graded yet.
		This answer has not been graded yet.
		This answer has not been graded yet.

Question 7

Describe your study design.

Will you be conducting an observational study or performing an experiment? What will your sample size be? If you will be performing an experiment, will there be a placebo? If so, describe the placebo. Will the experiment be blinded? Double-blinded? Who will carry out the experiment and how?

This answer has not been graded yet.

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Brase & Brase-Understanding Basic Stats-Metric 8/e (Homework)

Current Score : 32.51 / 68

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

Last Saved : n/a Saving... ()

Instructions

Assignment Submission

Assignment Scoring

Stats in Practice

Part I - Multiple Choice Questions

Part II - Discussion Question

JMP Applet

(a)

(b)

(c)

(d)

(e)

Statistical Lab

Background

About the Data

General Notes

Tech Guide

Lab Questions

Milestone 1: Research Design

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

1	2	3	4	5	6	7	8	9
–/0.75	–/0.75	–/0.75	–/0.75	–/0.75	–/0.75	–/0.75	–/0.75	–/0.8
0/100	0/100	0/100	0/100	0/100	0/100	0/100	0/100	0/100