Compare the grouped data mean and standard deviation values to the ungrouped data mean and standard deviation

MN4063QA July21 – Coursework 1

Grouped Descriptive Statistics [14 marks]

It was suggested to the retailer that the 130 transaction values could also be summarised in a grouped table (see

Table 2 below). Three table templates based on Table 2 have been made available in the Excel file named
“MN4063QA July21 CWK 1 Data” under the tab labelled Task 2.

Table 2 – Grouped Descriptive Statistics

Required for Task 2 (Comments for task 2 should not exceed 50 words in total.)

Using the three table templates provided in the Excel data file as a starting point, construct three tables in Excel.

The first table should show the frequencies and percentage frequencies.

The second table should show the ‘less than’ cumulative frequencies and cumulative percentage
frequencies.

Complete the third table to estimate the mean and standard deviation. You need to copy the
Excel output (3 tables) into your Word document.

Compare the grouped data mean and standard deviation values to the ungrouped data mean and standard deviation

What is fatigue strength (i.e. S in the Figure above) in [MPa] at the cycles calculated in (a) for this aluminium alloy

A 2014-T6 aluminium rod (3.5 cm in diameter) is subjected to a repeated tension-compression load cycling along its axis at a frequency of 100 Hz. If the part must last approximately 278 hours before failure, calculate the maximum allowable load amplitude (in N).

400 300 200 tr, 0 103,1045 steel,40,80 70 60 50 a 10 2014-76 aluminum alloy I Red bens I 104 105 104 lot 10° Cycles to failure. N 109

1.Determine the total number of cycles during the time
2.What is fatigue strength (i.e. S in the Figure above) in [MPa] at the cycles calculated in (a) for this aluminium alloy
3.Calculate the maximum allowed load in [N]

When would you use a random number generator?

Random Number Generators

First, research random number generators. Then, respond to the following in a paper.

When would you use a random number generator?

Select a random number generator and use it to generate at least 10 numbers.

Include a link to your selected random number generator and a screenshot of the numbers you generate.

Explain the difference between joint(nonexclusive) events and disjoint(mutually exclusive) events.

STATS

Chapter 1

1. Explain the difference between a population and a sample (from a statistical point of view). (4pts)

2. Explain the difference between quantitative variable and qualitative variable. (4pts)

3. Explain the difference between descriptive statistics and inferential statistics. (4pts)

Chapter 2

1. For a dataset, without constructing of the frequency distribution table;how to obtain the class width of frequency distribution table if thenumber of classes is given? (2pts)

Note: Use the formula in the slides; here frequency distribution table is not provided.

2. Explain the difference between a frequency distribution table and a relative frequency distribution table (4pts)

Chapter 3

1. Explain the difference between mean and median. Is mean always larger than median? (4pts)

2. Explain the difference between µ and x . How do you determine which is appropriate to use in a problem? (4pts)

3. Explain the difference between σ and s. How do you determine which is appropriate to use in a problem? (4pts)

4. What is the relationship between variance and standard deviation? (2pts)

5. Explain the difference between range and interquartile range. (4pts)

6. Explain what the coefficient of variation is. What is the advantage of using it compared to standard deviation? (4pts)

Chapter 4

1. Explain the meaning of “Event with equally likely outcomes”. (4pts)

2. Explain the difference between joint(nonexclusive) events and disjoint(mutually exclusive) events. (4pts)

3. Explain the difference between P(A) and P(A|B). What does it mean if they are equal in value? What does it mean if they are unequal in value? (4pts)

4. Explain the difference between P(A|B) and P(B|A). Must they be equal in value? (4pts)

5. Explain the difference between Permutation and Combination. (4pts)

Chapter 5

1. Explain what a discrete random variable is. List examples.(4pts)

2. What are the requirements for a discrete probability distribution?(4pts)

3. Explain what binomial probability distribution is.

Hint: list requirements in slides.(4pts)

Chapter 6

1. Explain what a continuous random variable is. List examples. (4pts)

2. Explain some basic characteristics of Normal Distribution. (4pts)

3. What is the standard Normal Distribution? (2pts)

4. Explain the difference between a raw score (x value) and a standard score(z value). (4pts)

5. How to convert a raw score to a standard score; and how to convert a standard score to a raw score? (4pts)

6. Explain how to use Table 2 for each of the following intervals:
a) z < a (less than)
b) z > a (more than)
c) a < z < b (between)
Here a and b are constant z units. b is larger than a
Describe the strategies we mentioned in class for theses 3 cases (6pts)

7. Explain what the Inverse Normal Distribution is. How would you figure out whether a problem is Normal Distribution type or Inverse Normal type? (4pts)

How many do you need and what percentage of the population is that?Do they need any special training?Where might you find volunteers?

Percentages and Budgets

Being involved in your local community is important for a variety of reasons. It affords you the opportunity to connect with, help, and strengthen the lives of others. It can give you a sense of satisfaction and accomplishment as you form bonds with your neighbors. If you find a need in your community, it is a good idea to collect data regarding that need. The data may reinforce your idea that there is a need, or it may even point you in a different direction of need. Using a data-driven approach to solve a community problem will help you be successful.

For the Unit 4 Discussion Board, you will write and post an essay about civic participation. Propose a community program that you would like to kick start. Choose something you are passionate about: health care, sports, politics, education, community outreach, crime prevention, beautification, animals, etc. It can be something you do once or something you do on an ongoing basis.

Your 250-word minimum essay should include:

A brief overview of the community program you would like to kick start.
Proposed budget percentages for your program to help prepare for fundraising (administrative costs, supplies, rent, advertising, etc.).
Proposed number of volunteers needed for your program. Also calculate the percentage of volunteers based on total number of people in the community (number of volunteers ÷ population of community).
Estimated percentage of people (or animals) in the community that would benefit from the program.
Every piece of writing should have an introduction, body, and conclusion. A good way to plan this particular reflective essay is to write an introduction to the essay. Next, write at least three body paragraphs. Finish with your conclusion paragraph.

Your essay and outside sources for this essay need to be cited in proper APA format.

Report on an actual percentage of people (or animals) benefiting from the current program, a new percentage of volunteers needed for the program in the future, and new budget percentages for the program for the upcoming fiscal year.

Paragraph 1: Introduction – What is the program?

Paragraph 2: Budget Information – What’s the budget? List percentages and actual amounts for each category in your budget.

Paragraph 3: Volunteers – How many do you need and what percentage of the population is that?Do they need any special training?Where might you find volunteers?

Paragraph 4: Beneficiaries – Who will benefit from the service you’re providing? What percentage of the population of your city will benefit? What is the criteria for participating?

Paragraph 5: Conclusion – What are the goals for the project? What is the overall effect on the community?

Need to have:
Five paragraphs
250 words or more
Reference

What fraction of his homeruns went to either left field or left center field?

Unit 1 : Chapters 1-4

GED 150 Mathematics Study Guide

Text Book : Basic College Mathematics
13th Edition, 2019 ISBN: 9780134689623
Marvin L. Bittinger, Judith A. Beecher, and Barbara L. Johnson
Pearson Education, Inc.

Answer ONE of the following:

1. You go to the bank to cash three checks. The checks are for $40.81, $134.93, and $84.30. You are given $260.04 by the teller. Estimate to see if the amount given you seems to be correct. Does $260.04 seem to be correct? Explain your answer.

2. Susan drives a tour bus to Springfield to see a local production of West Side Story. The fares were $6 for senior citizens, $8 for people age 12 to 64, and $3 for children under 12. Yesterday she took the trip with seven senior citizens, eight people age 12 to 64, and nine children under 12. What was the total amount she needed to collect in fares?

3. During the 1998 major league baseball season, Mark McGwire of the St. Louis Cardinals hit 70 homeruns. Of these, 34 went to left field, 30 went to left center field, 13 went to center field, and 3 went to right center field. None went to right field. What fraction of his homeruns went to either left field or left center field? Answer the question, simplifying all fractions.

Use a standard essay response to all questions (i.e. four to five paragraphs with three to five sentences per paragraph, including an introduction, middle paragraphs, and conclusion). All responses must be typed double-spaced, using a standard font and 12 point type size for ease of reading and grading.

Begin each writing assignment by identifying the question number you are answering followed by the actual question itself (in bold type).

Use a standard essay format for responses to all questions (i.e., an introduction, middle paragraphs, and conclusion).

Responses must be typed double-spaced, using a standard font (i.e. Times New Roman) and 12 point type size.

Students who are successful in earning the maximum number of points tend to submit writing assignments that fall in the following ranges:

Undergraduate courses: 350 – 500 words per question.

All work must be free of any form of plagiarism. Put written answers into your own words. Do not simply cut and paste your answers from the Internet and do not copy your answers from the textbook. Be sure to refer to the course syllabus for more details on plagiarism and proper citation styles.

The majority of your response should be your own original writing based on what you have learned from the textbook. However, students may also use outside materials if applicable. Be sure to provide a citation and a reference for any materials used, including the required textbook. The following points are designed to help you understand how to provide proper citations and references for your work:

Sources are listed in two places.
The first, a citation, is briefly listed within your answer. This includes identifying information that directs the reader to your list of references at the end of your writing assignment.
The second, a reference, is at the end of your work in the list of references section.
All sources cited should follow APA style and provide enough identifying information so that the reader can access the original material.

Do you think that the item has been restored to its original price? Do you think its price is now higher or lower than the original price?

Math writing assignment : Unit 2

GED 150 Mathematics Study Guide

Text Book : Basic College Mathematics
13th Edition, 2019 ISBN: 9780134689623
Marvin L. Bittinger, Judith A. Beecher, and Barbara L. Johnson
Pearson Education, Inc.

Answer ONE of the following:

1. A student wanted to estimate 21.5 × 0.0079 by first rounding each number. He solved the problem as follows:
21.5 × 0.0079 is approximately equal to 20 × 0.008, which is equal to 0.016. So he estimated the answer as 0.016.

Do you agree with the answer? If not, explain where the student went wrong and give the correct answer.

2. In triangle A, the longest side is twice as long as the shortest side. In triangle B, the longest side is also twice as long as the shortest side. If this is the only information you have about the two triangles, can you conclude that they must be similar? Explain your answer.

3. The price of an item is reduced by 20% in a sale. Two weeks later the price is increased to 20% more than the sale price. Do you think that the item has been restored to its original price? If not, do you think its price is now higher or lower than the original price? Explain your thinking.

Use a standard essay response to all questions (i.e. four to five paragraphs with three to five sentences per paragraph, including an introduction, middle paragraphs, and conclusion). All responses must be typed double-spaced, using a standard font and 12 point type size for ease of reading and grading.

What are some ethical ramifications of designing products using information based on the normal distribution?

Can you think of examples where a company would use information based on income, height, weight, age, or other demographics to produce products? Select an industry, company, or product that you think uses (or should use) the normal distribution to aid in the design or marketing of a product. Do some research on the industry, company, or product if needed.

Identify the industry, company, or product you selected, and then discuss the following in your initial response.

Would using the normal distribution would be advantageous for the company? Why or why not?

What are some ethical ramifications of designing products using information based on the normal distribution?