1. True or False. Justify for full credit.(10 pts)(a) The .docx

1. True or False. Justify for full credit.
(10 pts)
(a) The normal distribution curve is always symmetric to its
mean.
(b) If the variance from a data set is zero, then all the
observations in this data set are identical.
(c)
P(A AND Ac )
1, where Ac is the complement of A.
(d) In a hypothesis testing, if the p-value is less than the
significance level α, we do not have sufficient evidence to
reject the null hypothesis.
(e) The volume of milk in a jug of milk is 128 oz. The value
128 is from a discrete data set.
Refer to the following frequency distribution for Questions 2, 3,
4, and 5. Show all work. Just the answer, without supporting
work, will receive no credit.A random sample of 25 customers
was chosen in UMUC MiniMart between 3:00 and 4:00 PM on a
Friday afternoon. The frequency distribution below shows the
distribution for checkout time (in minutes).
Checkout Time (in minutes)
Frequency
Relative Frequency
1.0 - 1.9
2

2.0 - 2.9
8
3.0 - 3.9
4.0 - 5.9
5
Total
25
2. Complete the frequency table with frequency and relative
frequency.
(1 pt)
3. What percentage of the checkout times was less than 3
minutes?
(1pt)
4. In what class interval must the median lie? Explain your
answer.
(1 pt)
5. Assume that the largest observation in this dataset is 5.8.
Suppose this observation were incorrectly recorded as 8.5
instead of 5.8. Will the mean increase, decrease, or remain the
same? Will the median increase, decrease or remain the same?
Why?
(1 pt)
6. A random sample of STAT200 weekly study times in hours is
as follows: 2 15 15 18 30
Find the sample standard deviation. (Round the answer to two
decimal places. Show all work. Just the answer, without
supporting work, will receive no credit.)
(1 pt)
Refer to the following information for Questions 7, 8, and 9.
Show all work. Just the answer, without supporting work, will

receive no credit.A fair coin is tossed 4 times.
7. How many outcomes are there in the sample space?
(5 pts)
8. What is the probability that the third toss is heads, given that
the first toss is heads? (5 pts)
9. Let A be the event that the first toss is heads, and B be the
event that the third toss is heads. Are A
and B independent? Why or why not?
(5 pts)
Refer to the following situation for Questions 10, 11, and 12.
The boxplots below show the real estate values of single family
homes in two neighboring cities, in thousands of dollars.
For each question, give your answer as one of the following: (a)
Tinytown; (b) BigBurg; (c) Both cities have the same value
requested; (d) It is impossible to tell using only the given
information. Then explain your answer in each case.
(5 pts each)
10. Which city has greater variability in real estate values?
11. Which city has the greater percentage of households with
values $85,000 and over?
12. Which city has a greater percentage of homes with real
estate values between $55,000 and $85,000?
Refer to the following information for Questions 13 and 14.
receive no credit.There are 1000 juniors in a college. Among
the 1000 juniors, 200 students are taking STAT200, and 100
students are taking PSYC300. There are 50 students taking both
courses.

13. What is the probability that a randomly selected junior is
taking at least one of these two courses?
(5 pts)
14. What is the probability that a randomly selected junior is
taking PSYC300, given that he/she is taking STAT200?
(5 pts)
15. UMUC Stat Club is sending a delegate of 2 members to
attend the 2015 Joint Statistical Meeting in Seattle. There are
10 qualified candidates. How many different ways can the
delegate be selected?
(5 pts)
16. Imagine you are in a game show. There are 4 prizes hidden
on a game board with 10 spaces. One prize is worth $100,
another is worth $50, and two are worth $10. You have to pay
$20 to the host if your choice is not correct. Let the random
variable x be the winning. Show all work. Just the answer,
without supporting work, will receive no credit.
(a)
What is your expected winning in this game?
(5 pts)
(b)
Determine the standard deviation of x. (Round the answer to
two decimal places)
(5 pts)
17. Mimi just started her tennis class three weeks ago. On
average, she is able to return 20% of her opponent’s serves.
Assume her opponent serves 8 times. Show all work. Just the
answer, without supporting work, will receive no credit.
(a)
Let X be the number of returns that Mimi gets. As we know,
the distribution of X is a binomial probability distribution.
What is the number of trials (n), probability of successes (p)
and

probability of failures (q), respectively?
(5 pts)
(b)
Find the probability that that she returns at least 1 of the 8
serves from her opponent.
(5 pts)
(c)
How many serves can she expect to return?
(5 pts)
Refer to the following information for Questions 18, 19, and 20.
receive no credit.
The IQ scores are normally distributed with a mean of 100 and a
standard deviation of 15.
18.
What is the probability that a randomly person has an IQ
between 85 and 115?
(5 pts)
19.
Find the 90th percentile of the IQ distribution.
(5 pts)
20. If a random sample of 100 people is selected, what is the
standard deviation of the sample mean?
(5 pts)
21. A random sample of 100 light bulbs has a mean lifetime of
3000 hours. Assume that the population standard deviation of
the lifetime is 500 hours. Construct a 95% confidence interval
estimate of the mean lifetime. Show all work. Just the answer,
without supporting work, will receive no credit.
(5 pts)

22. Consider the hypothesis test given by
H 0 : p H1 : p
0.5
0.5
In a random sample of 225 subjects, the sample proportion is
found to be pˆ
0.51.
(a) Determine the test statistic. Show all work; writing the
correct test statistic, without supporting work, will receive no
credit.
(b) Determine the p-value for this test. Show all work; writing
the correct P-value, without supporting work, will receive no
credit.
(c) Is there sufficient evidence to justify the rejection of H0 at
the
level?
Explain.
(5 pts)
23. A new prep class was designed to improve AP statistics test
scores. Five students were selected at random. The numbers of
correct answers on two practice exams were recorded; one
before the class and one after. The data recorded in the table
below. We want to test if the numbers of correct answers, on
average, are higher after the class.

Number of Correct Answers
Subject
Before the class
After the class
1
12
14
2
15
18
3
9
11
4
12
10
5
12
12
Is there evidence to suggest that the mean number of correct
answers after the class exceeds the mean number of correct
answers before the class?
Assume we want to use a 0.01 significance level to test the
claim.
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the
credit.
(c) Determine the p-value. Show all work; writing the correct
critical value, without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that the
mean number of correct answers after the class exceeds the
mean number of correct answers before the class? Justify your

conclusion.
(10 pts)
24. A random sample of 4 professional athletes produced the
following data where x is the number of endorsements the
player has and y is the amount of money made (in millions of
dollars).
x
0
1
3
5
y
3
2
3
8
(a) Find an equation of the least squares regression line. Show
all work; writing the correct equation, without supporting work,
will receive no credit.
(5 pts)
(b) Based on the equation from part (a), what is the predicted
value of y if x = 4? Show all work and justify your answer.
(5 pts)
25. Randomly selected nonfatal occupational injuries and
illnesses are categorized according to the day of the week that
they first occurred, and the results are listed below. Use a 0.05
significance level to test the claim that such injuries and
illnesses occur with equal frequency on the different days of the
week. Show all work and justify your answer.
Day
Mon
Tue
Wed

Thu
Fri
Number
22
22
20
19
17
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the
credit.
(c) Determine the p-value. Show all work; writing the correct
critical value, without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that such
injuries and illnesses occur with equal frequency on the
different days of the week? Justify your answer.
(5 pts)
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0.01
Appendix I
ENG/102 Version 4
1
Associate Level Material
Appendix I
Strategies for Gathering Information
Fill in the following information for each of your sources:
· List the APA reference citation for the source.
· Determine the credibility of the source. Consider the
following criteria:
· What is the purpose and affiliation of the organization or
author related to the article?
· What are the author’s credentials?

· Is the information current? When the information was last
updated?
· Does the information cross-reference with other sources?
· Does the source contain bias without evidence to support the
claim?
· Explain in at least two to four sentences what information you
can gather from this source.
Source (formatted consistent with APA guidelines)
What makes the source credible or noncredible?
What information can you gather from this source?
<insert APA reference>
Haggerty, M. (2011, May 6). Business ethics. CQ Researcher,
21, 409-432. Retrieved from http://library.cqpress.com/
This source is reliable because it came out of my university
library and has already been peer reviewed.
This source will give me information in reference to ethics in
businesses.
Ethics codes 1958–1978: the cleanup begins. (2013). Guide to
Congress (7th ed., Vol. 2). Washington, DC: CQ Press.
Retrieved from http://library.cqpress.com/congress/g2c7e2-
1397-79153-2491056
This source is reliable because it has already been peer
reviewed.
This source will give me information on Ethic code of conduct

the history of it.
Kaufman R. A practical definition of ethics for truly strategic
planning in higher education. New Directions For Higher
Education [serial online]. Summer2008 2008;(142):9-15.
Available from: Professional Development Collection, Ipswich,
MA. Accessed February 13, 2015.
This source is reliable because it has already been peer
reviewed.
This source will give me information on ethic in schools.
Frankena, William K. (1973). Ethics. Englewood Cliffs,
N.J.,Prentice-Hall.
.These sources books.So I am sure they are credible.
This is giving general information ethics and values.
Benn Piers. Ethics. New York Press. 1998. Print.
This is also a book so I am sure it has been peer review.
This is addition information on ethics and morales.

Address the following in 150 to 200 words:
· What strategies did you use to gather reliable information for
your research paper?
I used my university library mostly because I needed to make
sure that my sources are reliable, and I know if I used sources
out of there they will be peer reviewed. When I gather sources
from the internet I used reliable sources such as .edu. and .gov
because I was told they were credible sources.
· What other strategies might you use? Provide a rationale for
your choices.
Before I start to evaluate and gather information for my topic, I
had to think about what I wanted to focus on in my paper and
the topics that I wanted to talk about, so that gave me an idea of
what information i needed the articles, magazines, and books to
provide for me so that is how I made my choice of what sources
to use.
Annotated Bibliography
21, 409-432. Retrieved from CQ Research database.
This is a great article from the University Library that focuses

on ethics in business.
Congress (7th ed., Vol. 2). Washington, DC: CQ Press.
Retrieved from CQ Research database.
This article is an exceptional source from the university library
which provides detailed information in reference to the ethics
code of conduct.
planning in higher education. New Directions For Higher
Education [serial online]. Summer 2008 ;( 142):9-15. Available
from: Professional Development Collection, Ipswich, MA.
Accessed February 13, 2015.
This is a great overview article from the university library that
provides a practical definition of ethics and gives information
on strategic planning in education.
Frankena, William K. (1973). Ethics. Englewood Cliffs, N.J.,
Prentice-Hall.
This source gives general information on ethics and values.
This sources gives addition information in reference to ethics
and morals.
In my opinion I should be able to use my annotated
bibliography to learn more about my topic, by reading the
information in each of my sources I found for my research
paper. Each source will tell me about the issues, and what has
been done to resolve them. Also the bibliography will help me
to determine if the sources I have chosen are useful, reliable,
bias, or objective. Writing my annotated bibliography and doing
a summary also helps me to know what and where to insert my
information in my draft. Annotated bibliography will also prove
that I researched some valuable information for my research
paper, also provides a way for my instructor and other readers
to access my sources. Writing an Annotated bibliography help
me to keep track of all research sources I chose to use in my
topic.

Haggerty, M. (2011, May 6). Business ethics.
CQ Researcher
,
21
, 409
-
432. Retrieved from
CQ
Research database.
Ethics codes 1958
–
1978: the cleanup begins. (2013).
Guide to Congress
(7th ed., Vol. 2).
Washington, DC: CQ Press. Retrieved from
CQ Research database.
which provides detailed
information in
reference to the ethics code of conduct.
planning in higher education.
New

Directions For Higher Education
[serial online]. Summer
2008 ;( 142
):9
-
15. Available from:
Professional Development
Collection, Ipswich, MA. Accessed February 13, 2015.
This
is a great overview
article from the university library that provides a practical
definition of
ethics and gives information on strategic planning in education.
Frankena, William K. (1973).
Ethics
.
Englewood Cliffs, N.J.
, Prentice
-
Hall.
Benn Piers.
Ethics.
New York Press. 1998. Print.

and morals.
I
n my opinion I should be able to
use my annotated bibliography to learn more about my
topic, by reading the information in each of my sources I found
for my research paper. Each
21, 409-432. Retrieved from CQ
Research database.
Congress (7th ed., Vol. 2).
Washington, DC: CQ Press. Retrieved from CQ Research
database.
which provides detailed
information in reference to the ethics code of conduct.
planning in higher education. New
Directions For Higher Education [serial online]. Summer 2008
;( 142):9-15. Available from:
Professional Development Collection, Ipswich, MA. Accessed
February 13, 2015.
This is a great overview article from the university library that
provides a practical definition of
ethics and gives information on strategic planning in education.
Frankena, William K. (1973). Ethics. Englewood Cliffs, N.J.,
Prentice-Hall.

and morals.
In my opinion I should be able to use my annotated
bibliography to learn more about my
topic, by reading the information in each of my sources I found
for my research paper. Each
Running Head DEVELOPING A THESIS STATEMENT 1
DEVELOPING A THESIS STATEMENT 2
Thesis Statement
Good ethical conduct is essential in success of an organization;
however, everyone does not have the same values.
· Explain what strategies you used to formulate a viable
argument.
I used a strategy that would create an argument that make sense,
and that link in a logical and practical way, I am using the logos
strategy which is the logical appeal, strategic use of logic,
claims, and evidence to persuade an audience of a certain point.
That way my argument will have strong, clear claims, warrants
that are valid, and clear explanations for claims, and strong
evidence.
· Explain how you plan to support your thesis statement with
compelling arguments and counterarguments
I plan to support my thesis with compelling arguments and
counter arguments by looking for opposing viewpoints and
finding evidence to contradict them. I am going to address any
prejudice or fallacies that I may come upon. I am going to find
the strongest possible proof to support my claims. I will also
make sure I take detailed notes while gathering information for
my research and make sure the information is current.

Running Head DEVELOPING A THESIS STATEMENT
1
Thesis Statement
Good ethical conduct is
essential in success of an organization; however, everyone does
not
have the same values.
Ø
Explain what strategies you used to formulate a viable
argument.
I used
a
strateg
y that would
create an
argument that make sense, and that
link
in a logical

and practical way, I am using the logos strategy which is the
logical appeal
,
strategic use
of
logic, claims, and evidence
to
persuade
an audience of a certain point. That way my
argument will have strong, clear claims, warrants that are vali
d, and clear
explanations
for
claims, and
strong evidence
.
Ø
Explain how you plan to support your thesis statement with
compelling arguments and
counterarguments
counter arguments by looking
for op
posing viewpoints and finding evidence to
contradict

them. I am going to address any
prejudice
or fallacies that I may come
upon
. I am going to find the strongest possible
proof
to
support my claims. I will
also
make sure I take
detailed notes
while
gathering information
for
my
research
and make sure the information is current.
Running Head DEVELOPING A THESIS STATEMENT 1
Thesis Statement

Good ethical conduct is essential in success of an organization;
however, everyone does not
have the same values.
argument.
I used a strategy that would create an argument that make sense,
and that link in a logical
and practical way, I am using the logos strategy which is the
logical appeal, strategic use of
logic, claims, and evidence to persuade an audience of a certain
point. That way my
argument will have strong, clear claims, warrants that are valid,
and clear explanations for
claims, and strong evidence.
compelling arguments and
counterarguments
counter arguments by looking
for opposing viewpoints and finding evidence to contradict
them. I am going to address any
prejudice or fallacies that I may come upon. I am going to find
the strongest possible proof to
support my claims. I will also make sure I take detailed notes
while gathering information for
my research and make sure the information is current.
Appendix K
ENG/102 Version 4
1
Associate Level Material

Appendix K
Organizing Your Research Paper
Once you have researched sources and taken notes, you must
complete the following steps in the research process:
1. Ensure your research is complete.
2. Refine your thesis statement.
3. Organize your research effectively.
4. Strategize to create a compelling way to draw readers into
your argument.
5. Write a rough draft.
6. Utilize feedback to revise your paper.
This stage of the research process may prove to be both
frustrating and exciting as you begin to construct your paper.
Ensuring Your Research Is Complete
At this point, you must decide whether you have enough
research and whether your research is complete. To make this
decision, ask yourself the following questions:
· Do I have the required number and types of sources listed in
the assignment?
· Have I met the word-count requirement for my paper?
· Do I have adequate support to defend each of my main points
and to support my thesis?

· Have I used logical reasoning and other persuasive tactics
such as statistics and examples?
· Do I have sources that explain opposing viewpoints? Have I
effectively countered these viewpoints?
· Are at least 80% of the notes I have taken written in my own
words? (No more than 20% of your paper should consist of
direct quotations.)
Even if you answer yes to all of these questions, you may still
find yourself with gaps in your paper.If so, you should complete
more research.
Refining Your Thesis Statement
After all the research is gathered, you may find your position on
the topic has changed. You could change your mind and argue
the other side of your topic, or perhaps you want to maintain the
same point of view but alter the direction of your paper
somewhat. At this time, you need to revisit your thesis
statement and revise it according to your paper’s new direction.
Reread your thesis statement. Your thesis statement needs to be
a claim (your position) about the paper’s topic and include the
answer to the questions how or why. Every idea in your paper
should prove or support your thesis. If this is not the case, you
must revise your thesis. Consider the following thesis
statements in their initial forms and in their final forms:
Initial. Outsourcing American jobs to foreign countries is not
helping the American economy.
Final. Outsourcing American jobs to foreign countries has a
negative effect on America because it removes jobs, money, and

resources from the economy.
Initial. More needs to be done about child abuse.
Final. The government should mandate longer prison terms for
abusers to better protect children.
Although the final thesis statements are more challenging than
the original ones, the revised theses might also be refined after
additional research.
Organizing Information Effectively
An outline provides general descriptions of the information that
will appear in your paper. The outline serves the following
purposes:
· It is organized logically to convey the strongest possible
argument.
· It provides a visual picture of the structure of your paper.
· It helps show relationships between and among ideas.
In order to create an outline, gather your prewriting as well as
all the information you want to include in the paper. Normally,
you outline only the body paragraphs for your essay. Include
your thesis statement at the top of the outline to ensure you
include only the support that defends or proves your thesis.
You can organize your supporting evidence in different ways,
including the following:
· Logical. This method is the most common way to organize a

research paper. The information in your paper should be
organized in a way that seems understandable to your readers,
with examples and support to validate each point. You might
discuss the history of an issue, for example, followed by a
discussion of current problems and a proposed solution.
· Chronological. If your paper follows a series of steps (1, 2, 3),
then your paper should be organized chronologically. If your
paper argues that more people should consider adoption, for
example, you may want to organize the paper according to the
steps one takes in order to complete an adoption.
· Order of importance. If you want your audience to read your
most compelling evidence first, place it near the front; on the
other hand, if you want your reader to remember your most
compelling evidence, place it near the end. This order places
information in your paper in an order that seems most
compelling to your argument.
No matter which order you choose, you must include examples
and support for each argument. If you make a claim or
statement, you must defend it.
Creating a Sentence Outline
For this course, you must create a full-sentence outline. A
sentence outline is an outline in which every point in the outline
is a complete and grammatically correct sentence rather than a
phrase or simple topic.
Depending on the length and detail of your paper, your outline
may include many more points and subpoints (also referred to as
headings and subheadings) than the following example shows.

You must include all your source examples as well as your
arguments and counterarguments. Your sentence outline may
appear similar to the following:
I.
Main point 1 in a complete sentence.
A. Subpoint 1 in a complete sentence.
1. Supporting example 1 in a complete sentence.
B. Subpoint 2 in a complete sentence.
II.
III.

Keep in mind the following when creating an outline:
· Main headings are designated by Roman numerals (I, II, and
so on) followed by periods. Subheadings are indicated by
uppercase letters (A, B, and so on) followed by periods. Support
for subheadings is designated by Arabic numerals (1, 2, and so
on) followed by periods.
· One point can never stand alone: If you have an A, you must
have a B; if you have a 1, you must have a 2; and so forth.
· Your outline must be complete and detailed. Remember, you
are writing in complete sentences, and the more information you
include, the easier it will be for you to transfer the information
into paragraph form for your rough draft.
· After you have drafted an outline, revise the arrangement a
little by rearranging the order of topics and subtopics. Place
ideas in the most logical order, so items make sense and

transitions will be easy to add.
For an example of a sentence outline, click the following link
and scroll down to Preparing a Sentence Outline at
http://www.studyguide.org/research_paper_guide_2.htm. The
example also illustrates how a section of the sentence outline
might be turned into a paragraph for the rough draft. You will
learn more about drafting your paper later in this course.
Wrap-Up
Although this part of the research process might seem time
consuming and tiresome, it is also a time to be proud to see the
results of your hard work. Using the tips above and taking your
time can help you produce a more effective final paper.

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