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Assignment 05
MA260 Statistical Analysis I
Directions: Be sure to save an electronic copy of your answer
before submitting it to Ashworth College for grading. Unless
otherwise stated, answer in complete sentences, and be sure to
use correct English, spelling, and grammar. Refer to the
"Assignment Format" page located on the Course Home page for
specific format requirements.
NOTE: Show your work in the problems.
1. Compute the mean and variance of the following discrete
probability distribution.
x
P(x)
2
.50
8
.30
10
.20
2. The Computer Systems Department has eight faculty, six
of whom are tenured. Dr. Vonder, the chair, wants to establish a
committee of three department faculty members to review the
curriculum. If she selects the committee at random:
a. What is the probability all members of the committee are
tenured?
b. What is the probability that at least one member is not
tenured? (Hint: For this question, use the complement rule).
3. New Process, Inc., a large mail-order supplier of women’s
fashions, advertises same-day service on every order. Recently,
the movement of orders has not gone as planned, and there were
a large number of complaints. Bud Owens, director of customer
service, has completely redone the method of order handling.
The goal is to have fewer than five unfilled orders on hand at
the end of 95% of the working days. Frequent checks of the
unfilled orders follow a Poisson distribution with a mean of two
orders. A Poisson distribution is a discrete frequency
distribution.
Has New Process, Inc. lived up to its internal goal? Cite
evidence.
4. Recent information published by the U.S. Environmental
Protection Agency indicates that Honda is the manufacturer of
four of the top nine vehicles in terms of fuel economy.
a. Determine the probability distribution for the number of
Hondas in a sample of three cars chosen from the top nine.
b. What is the likelihood that in the sample of three at least
one Honda is included?
Grading Rubric
Please refer to the rubric below for the grading criteria for this
assignment.
CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable
15 points11 points7 points3 points
The student provides a clear
and logical table to organize
data and accurately includes
the equations and the correct
answers for the mean and
the variance.
The student provides an
adequate table to organize
data and accurately includes
the equations and the
correct answer for either
the mean or the variance.
The student does not
provide a clear and logical
table to organize data and
accurately includes the
equations and may have
only one correct answer for
the mean or the variance.
The student does not
provide a clear and logical
table to organize data and
has only 1 accurate
equation and one correct
answer for the mean or the
variance.
20 points15 points10 points5 points
The student provides correct
equations and answers for
both parts of the question.
The student provides correct
equations and only one
correct answer to the
questions.
The student provides
correct equations and no
correct answers to the
questions.
The student provides one
correct equation and no
correct answers to the
questions.
20 points15 points10 points5 points
The student provides the
correct equation and answer
for the question and
provides supporting
evidence.
The student provides correct
equation and answer for the
question but does not
provide supporting
evidence.
The student provides the
correct equation and
incorrect answer for the
question but does not
provide supporting
evidence.
The student provides the
correct equation and
incorrect answer for the
question and does not
provide supporting
evidence.
20 points15 points10 points5 points
The student provides correct
equations and answers for
both parts of the question.
The student provides correct
equations and only one
correct answer to the
questions.
The student provides
correct equations and no
correct answers to the
questions.
The student provides one
correct equation and no
correct answers to the
questions.
10 points 8 points 5 points 2 points
Student makes no errors in
grammar or spelling that
distract the reader from the
content.
Student makes 1-2 errors in
grammar or spelling that
distract the reader from the
content.
Student makes 3-4 errors in
grammar or spelling that
distract the reader from the
content.
Student makes more than
4 errors in grammar or
spelling that distract the
reader from the content.
15 points 12 points 8 points 5 points
The paper is written in
proper format. All sources
used for quotes and facts are
credible and cited correctly.
Excellent organization,
including a variety of
thoughtful transitions.
The paper is written in
proper format with only 1-2
errors. All sources used for
quotes and facts are credible
and most are cited correctly.
Adequate organization
includes a variety of
appropriate transitions.
The paper is written in
proper format with only 3-5
errors. Most sources used
for quotes and facts are
credible and cited correctly.
Essay is poorly organized,
but may include a few
effective transitions.
The paper is not written in
proper format. Many
sources used for quotes
and facts are less than
credible (suspect) and/or
are not cited correctly.
Essay is disorganized and
does not include effective
transitions.
Format - APA
Format, Citations,
Organization,
Transitions (15
Points)
Mechanics -
Grammar,
Punctuation,
Spelling (10 Points)
The student creates
a table organizing
the data and
performs the
computations for
the mean and the
variance in #1.
The student
performs the
calculations and
answer to question
#3. Evidence is
included (i.e.
explanation/answer
to question)
The student
completes the
equations and
computations for #4
Parts a and b.
The student
performs the
calculations on the
probability
questions #2 Parts a
and b.
Eco 700 capstone applied economics
ECO 700 Milestone One Rubric: Economic Problem Paper (four
pages)
Overview: Milestone One forms the foundation for your
research. It lays the groundwork by stating what your goal is
and how you will get to that goal. This milestone is a living
document in the sense that, throughout the course, you will
continue to receive encouragement to build on the strengths of
your proposal as well as feedback for improvement. As such, it
should be approached as one step in an ongoing dialog between
you, your instructor, and other students in the class.
Prompt: Write an overview of your hypothesis and a proposal
on how to test it. Include the following:
• Overview of the problem
• Justification
• Expected benefits
• Statistical technique
• Testable hypothesis Guidelines for Submission: Submit a four
-page document that uses double spacing, 12-point Times New
Roman font, and one-inch margins. Citations should be
formatted according to APA style.
ECO 700 Milestone Two Rubric: Research Proposal (10 pages)
Overview: Milestone Two is your detailed roadmap of what you
intend to do and how you will do it. A well-written proposal
integrates what you learned all throughout the program and
shows how you intend to apply the skills and knowledge you
acquired over the past few months. Writing a proposal also
helps you formulate the justification for your methodology and
helps you anticipate what you may find in your research.
Prompt: Employing feedback from the previous modules, write
a final draft of the research proposal. Essentially, it will be an
elaboration of the economic problem paper you created for
Milestone One.
This report should be professionally written and contain the
following elements:
• Research goal(s)
• Relevant audiences and why the research is relevant to them
• Strategies and tactics employed
• Evaluation process
• Data needs
• Cost of needed research
• Timeline Guidelines for Submission: Your submission should
be 10 pages in length and should use double spacing, 12-point
Times New Roman font, and one-inch margins. Citations should
be formatted according to APA style. Instructor Feedback: This
activity uses an integrated rubric in BECO 700
Milestone Three Rubric: Data Analysis Paper Prompt: (four
pages)
Write a paper documenting how you are conducting your
analysis.
• Describe the techniques you decided to use and their
justification.
• Include a critical examination of the data.
• Discuss the statistical outcomes and their interpretation.
• Address any remaining issues. Be sure to include the most
essential sections of your statistical package’s printout as an
appendix. Guidelines for Submission:
Your paper should be four pages in length (not including charts,
graphs, references, or the title page). It should use 12-point
Times New Roman font, double spacing, and one-inch margins.
Citations should be formatted according to APA style.
Assignment 08
MA260 Statistical Analysis I
Directions: Be sure to save an electronic copy of your answer
before submitting it to Ashworth College for grading. Unless
otherwise stated, answer in complete sentences, and be sure to
use correct English, spelling, and grammar. Refer to the
"Assignment Format" page located on the Course Home page for
specific format requirements.
NOTE: Show your work in the problems.
1. A recent article in the Myrtle Beach Sun Times reported
that the mean labor cost to repair a color television is $90 with
a standard deviation of $22. Monte’s TV Sales and Service
completed repairs on two sets this morning. The labor cost for
the first was $75 and it was $100 for the second. Compute z
values for each and comment on your findings.
2. The mean of a normal distribution is 400 pounds. The
standard deviation is 10 pounds.
a. What is the area between 415 pounds and the mean?
b. What is the area between the mean and 395 pounds?
c. What is the probability of selecting a value at random and
discovering that it has a value of less than 395 pounds?
3. The monthly sales of mufflers in the Richmond, VA area
follow the normal distribution with a mean of 1200 and a
standard deviation of 225. The manufacturer would like to
establish inventory levels such that there is only a 5% chance of
running out of stock. Where should the manufacturer set the
inventory levels?
4. Research on new juvenile delinquents revealed that 38% of
them committed another crime.
a. What is the probability that of the last 100 new juvenile
delinquents put on probation, 30 or more will commit another
crime?
b. What is the probability that 40 or fewer of the delinquents
will commit another crime?
c. What is the probability that between 30 and 40 of the
delinquents will commit another crime?
5. An Air Force study indicates that the probability of a
disaster such as the January 28, 1986 explosion of the space
shuttle Challenger was 1 in 35. The Challenger flight was the
25th mission.
a. How many disasters would you expect in the first 25
flights?
b. Use the normal approximation to estimate the probability
of at least one disaster in 25 missions.
Grading Rubric
Please refer to the rubric below for the grading criteria for this
assignment.
CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable
15 points11 points7 points3 points
The student sets up both
equations correctly and
provides the correct answer
for each.
The student sets up both
equations correctly and
provides the correct answer
for only one question.
The student sets up both
equations correctly and
provides the correct answer
for neither question.
The student sets up only
one equation correctly and
provides the correct
answer for only one
question.
15 points11 points7 points3 points
The student sets up all
equations correctly and
provides 3 correct answers.
The student sets up 3
equations correctly and
provides 2 or less correct
answers.
The student sets up 2
questions correctly and
provides 1 or less correct
answers.
The student sets up 1
question correctly and
provides 1 or less correct
answers.
15 points11 points7 points0 points
The student sets up the
equation correctly and
provides the correct answer.
The student sets up the
equation correctly and does
not provide the correct
answer.
The student does not set up
the equation correctly and
does not provide the
correct answer.
The student does not
provide the equation or
the answer.
15 points11 points7 points3 points
The student sets up all
equations correctly and
provides 3 correct answers.
The student sets up 3
equations correctly and
provides 2 or less correct
answers.
The student sets up 2
questions correctly and
provides 1 or less correct
answers.
The student sets up 1
question correctly and
provides 1 or less correct
answers.
15 points11 points7 points3 points
The student sets up both
equations correctly and
provides the correct answer
for each.
The student sets up both
equations correctly and
provides the correct answer
for only one question.
The student sets up both
equations correctly and
provides the correct answer
for neither question.
The student sets up only
one equation correctly and
provides the correct
answer for only one
question.
10 points 8 points 5 points 2 points
Student does not make any
errors in grammar or spelling,
especially those that distract
the reader from the content.
Student makes 1-2 errors in
grammar or spelling that
distract the reader from the
content.
Student makes 3-4 errors in
grammar or spelling that
distract the reader from the
content.
Student makes more than
4 errors in grammar or
spelling that distract the
reader from the content.
15 points 12 points 8 points 5 points
The paper is written in
proper APA and
organizational format. All
sources used for quotes and
facts are credible and cited
correctly. Excellent
organization, including a
variety of thoughtful
transitions.
The paper is written in
proper format with only 1-2
errors. All sources used for
quotes and facts are
credible, and most are cited
correctly. Adequate
organization includes a
variety of appropriate
transitions.
The paper is written in
proper format with only 3-5
errors. Most sources used
for quotes and facts are
credible and cited correctly.
Essay is poorly organized,
but may include a few
effective transitions.
The paper is not written in
proper format. Many
sources used for quotes
and facts are less than
credible (suspect) and/or
are not cited correctly.
Essay is disorganized and
does not include effective
transitions.
The student
includes the
equations and
solves Parts a, b,
and c for #4.
The student
includes the
equations and
answers for Parts a
and b for #5.
Format - APA
Format, Citations,
Organization,
Transitions (15
Points)
The student sets up
the equations for #1
and solves them.
Mechanics (10
Points)
The student solves
Parts a, b, and c for
#2.
The student shows
the equation and
the answer for #3.
Format Requirements
Use the following format requirements on all submissions.
Writing Style
APA (American Psychological Association)
Note: To find detailed information on APA manuscript style
guidelines on the Internet, go to www.apastyle.org.
Margins
1” all sides
Paragraphs
The entire document should be double-spaced on standard-sized
paper (8.5" x 11")
Headings
Bold
Type Style and Size
Times New Roman, 12 point
Software
MS Word
Student/Assignment Information
The following information should be on the first page on the top
left side of the page in the format provided below. Do not
provide a cover sheet (unless the assignment requires one).
Student Name
Student Identification Number
Course Number and Title
Assignment Number and Title
Date of Submission

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Assignment 05MA260 Statistical Analysis IDirections Be sure t.docx

  • 1. Assignment 05 MA260 Statistical Analysis I Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home page for specific format requirements. NOTE: Show your work in the problems. 1. Compute the mean and variance of the following discrete probability distribution. x P(x) 2 .50 8 .30 10 .20 2. The Computer Systems Department has eight faculty, six of whom are tenured. Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committee at random: a. What is the probability all members of the committee are tenured? b. What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule).
  • 2. 3. New Process, Inc., a large mail-order supplier of women’s fashions, advertises same-day service on every order. Recently, the movement of orders has not gone as planned, and there were a large number of complaints. Bud Owens, director of customer service, has completely redone the method of order handling. The goal is to have fewer than five unfilled orders on hand at the end of 95% of the working days. Frequent checks of the unfilled orders follow a Poisson distribution with a mean of two orders. A Poisson distribution is a discrete frequency distribution. Has New Process, Inc. lived up to its internal goal? Cite evidence. 4. Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in terms of fuel economy. a. Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine. b. What is the likelihood that in the sample of three at least one Honda is included? Grading Rubric Please refer to the rubric below for the grading criteria for this assignment. CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable 15 points11 points7 points3 points The student provides a clear
  • 3. and logical table to organize data and accurately includes the equations and the correct answers for the mean and the variance. The student provides an adequate table to organize data and accurately includes the equations and the correct answer for either the mean or the variance. The student does not provide a clear and logical table to organize data and accurately includes the equations and may have only one correct answer for the mean or the variance. The student does not provide a clear and logical table to organize data and has only 1 accurate equation and one correct answer for the mean or the variance. 20 points15 points10 points5 points The student provides correct equations and answers for both parts of the question. The student provides correct equations and only one correct answer to the questions. The student provides correct equations and no correct answers to the
  • 4. questions. The student provides one correct equation and no correct answers to the questions. 20 points15 points10 points5 points The student provides the correct equation and answer for the question and provides supporting evidence. The student provides correct equation and answer for the question but does not provide supporting evidence. The student provides the correct equation and incorrect answer for the question but does not provide supporting evidence. The student provides the correct equation and incorrect answer for the question and does not provide supporting evidence. 20 points15 points10 points5 points The student provides correct equations and answers for both parts of the question. The student provides correct equations and only one correct answer to the questions.
  • 5. The student provides correct equations and no correct answers to the questions. The student provides one correct equation and no correct answers to the questions. 10 points 8 points 5 points 2 points Student makes no errors in grammar or spelling that distract the reader from the content. Student makes 1-2 errors in grammar or spelling that distract the reader from the content. Student makes 3-4 errors in grammar or spelling that distract the reader from the content. Student makes more than 4 errors in grammar or spelling that distract the reader from the content. 15 points 12 points 8 points 5 points The paper is written in proper format. All sources used for quotes and facts are credible and cited correctly. Excellent organization, including a variety of thoughtful transitions. The paper is written in proper format with only 1-2 errors. All sources used for
  • 6. quotes and facts are credible and most are cited correctly. Adequate organization includes a variety of appropriate transitions. The paper is written in proper format with only 3-5 errors. Most sources used for quotes and facts are credible and cited correctly. Essay is poorly organized, but may include a few effective transitions. The paper is not written in proper format. Many sources used for quotes and facts are less than credible (suspect) and/or are not cited correctly. Essay is disorganized and does not include effective transitions. Format - APA Format, Citations, Organization, Transitions (15 Points) Mechanics - Grammar, Punctuation, Spelling (10 Points) The student creates a table organizing the data and performs the computations for
  • 7. the mean and the variance in #1. The student performs the calculations and answer to question #3. Evidence is included (i.e. explanation/answer to question) The student completes the equations and computations for #4 Parts a and b. The student performs the calculations on the probability questions #2 Parts a and b. Eco 700 capstone applied economics ECO 700 Milestone One Rubric: Economic Problem Paper (four pages) Overview: Milestone One forms the foundation for your research. It lays the groundwork by stating what your goal is and how you will get to that goal. This milestone is a living document in the sense that, throughout the course, you will continue to receive encouragement to build on the strengths of your proposal as well as feedback for improvement. As such, it should be approached as one step in an ongoing dialog between you, your instructor, and other students in the class. Prompt: Write an overview of your hypothesis and a proposal on how to test it. Include the following: • Overview of the problem
  • 8. • Justification • Expected benefits • Statistical technique • Testable hypothesis Guidelines for Submission: Submit a four -page document that uses double spacing, 12-point Times New Roman font, and one-inch margins. Citations should be formatted according to APA style. ECO 700 Milestone Two Rubric: Research Proposal (10 pages) Overview: Milestone Two is your detailed roadmap of what you intend to do and how you will do it. A well-written proposal integrates what you learned all throughout the program and shows how you intend to apply the skills and knowledge you acquired over the past few months. Writing a proposal also helps you formulate the justification for your methodology and helps you anticipate what you may find in your research. Prompt: Employing feedback from the previous modules, write a final draft of the research proposal. Essentially, it will be an elaboration of the economic problem paper you created for Milestone One. This report should be professionally written and contain the following elements: • Research goal(s) • Relevant audiences and why the research is relevant to them • Strategies and tactics employed • Evaluation process • Data needs • Cost of needed research • Timeline Guidelines for Submission: Your submission should be 10 pages in length and should use double spacing, 12-point Times New Roman font, and one-inch margins. Citations should be formatted according to APA style. Instructor Feedback: This activity uses an integrated rubric in BECO 700 Milestone Three Rubric: Data Analysis Paper Prompt: (four pages) Write a paper documenting how you are conducting your
  • 9. analysis. • Describe the techniques you decided to use and their justification. • Include a critical examination of the data. • Discuss the statistical outcomes and their interpretation. • Address any remaining issues. Be sure to include the most essential sections of your statistical package’s printout as an appendix. Guidelines for Submission: Your paper should be four pages in length (not including charts, graphs, references, or the title page). It should use 12-point Times New Roman font, double spacing, and one-inch margins. Citations should be formatted according to APA style. Assignment 08 MA260 Statistical Analysis I Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the "Assignment Format" page located on the Course Home page for specific format requirements. NOTE: Show your work in the problems. 1. A recent article in the Myrtle Beach Sun Times reported that the mean labor cost to repair a color television is $90 with a standard deviation of $22. Monte’s TV Sales and Service completed repairs on two sets this morning. The labor cost for the first was $75 and it was $100 for the second. Compute z values for each and comment on your findings. 2. The mean of a normal distribution is 400 pounds. The standard deviation is 10 pounds. a. What is the area between 415 pounds and the mean?
  • 10. b. What is the area between the mean and 395 pounds? c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds? 3. The monthly sales of mufflers in the Richmond, VA area follow the normal distribution with a mean of 1200 and a standard deviation of 225. The manufacturer would like to establish inventory levels such that there is only a 5% chance of running out of stock. Where should the manufacturer set the inventory levels? 4. Research on new juvenile delinquents revealed that 38% of them committed another crime. a. What is the probability that of the last 100 new juvenile delinquents put on probation, 30 or more will commit another crime? b. What is the probability that 40 or fewer of the delinquents will commit another crime? c. What is the probability that between 30 and 40 of the delinquents will commit another crime? 5. An Air Force study indicates that the probability of a disaster such as the January 28, 1986 explosion of the space shuttle Challenger was 1 in 35. The Challenger flight was the 25th mission. a. How many disasters would you expect in the first 25 flights? b. Use the normal approximation to estimate the probability of at least one disaster in 25 missions.
  • 11. Grading Rubric Please refer to the rubric below for the grading criteria for this assignment. CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable 15 points11 points7 points3 points The student sets up both equations correctly and provides the correct answer for each. The student sets up both equations correctly and provides the correct answer for only one question. The student sets up both equations correctly and provides the correct answer for neither question. The student sets up only one equation correctly and provides the correct answer for only one question. 15 points11 points7 points3 points The student sets up all equations correctly and provides 3 correct answers. The student sets up 3 equations correctly and provides 2 or less correct answers.
  • 12. The student sets up 2 questions correctly and provides 1 or less correct answers. The student sets up 1 question correctly and provides 1 or less correct answers. 15 points11 points7 points0 points The student sets up the equation correctly and provides the correct answer. The student sets up the equation correctly and does not provide the correct answer. The student does not set up the equation correctly and does not provide the correct answer. The student does not provide the equation or the answer. 15 points11 points7 points3 points The student sets up all equations correctly and provides 3 correct answers. The student sets up 3 equations correctly and provides 2 or less correct answers. The student sets up 2 questions correctly and provides 1 or less correct answers. The student sets up 1
  • 13. question correctly and provides 1 or less correct answers. 15 points11 points7 points3 points The student sets up both equations correctly and provides the correct answer for each. The student sets up both equations correctly and provides the correct answer for only one question. The student sets up both equations correctly and provides the correct answer for neither question. The student sets up only one equation correctly and provides the correct answer for only one question. 10 points 8 points 5 points 2 points Student does not make any errors in grammar or spelling, especially those that distract the reader from the content. Student makes 1-2 errors in grammar or spelling that distract the reader from the content. Student makes 3-4 errors in grammar or spelling that distract the reader from the content. Student makes more than 4 errors in grammar or
  • 14. spelling that distract the reader from the content. 15 points 12 points 8 points 5 points The paper is written in proper APA and organizational format. All sources used for quotes and facts are credible and cited correctly. Excellent organization, including a variety of thoughtful transitions. The paper is written in proper format with only 1-2 errors. All sources used for quotes and facts are credible, and most are cited correctly. Adequate organization includes a variety of appropriate transitions. The paper is written in proper format with only 3-5 errors. Most sources used for quotes and facts are credible and cited correctly. Essay is poorly organized, but may include a few effective transitions. The paper is not written in proper format. Many sources used for quotes and facts are less than credible (suspect) and/or are not cited correctly. Essay is disorganized and
  • 15. does not include effective transitions. The student includes the equations and solves Parts a, b, and c for #4. The student includes the equations and answers for Parts a and b for #5. Format - APA Format, Citations, Organization, Transitions (15 Points) The student sets up the equations for #1 and solves them. Mechanics (10 Points) The student solves Parts a, b, and c for #2. The student shows the equation and the answer for #3. Format Requirements Use the following format requirements on all submissions. Writing Style APA (American Psychological Association)
  • 16. Note: To find detailed information on APA manuscript style guidelines on the Internet, go to www.apastyle.org. Margins 1” all sides Paragraphs The entire document should be double-spaced on standard-sized paper (8.5" x 11") Headings Bold Type Style and Size Times New Roman, 12 point Software MS Word Student/Assignment Information The following information should be on the first page on the top
  • 17. left side of the page in the format provided below. Do not provide a cover sheet (unless the assignment requires one). Student Name Student Identification Number Course Number and Title Assignment Number and Title Date of Submission