Mathematics

STEP A – COLLECTING YOUR DATA FIRST 1. Open up Google sheets OR an Apple Numbers, OR a Microsoft Word document. (I would provide the document but I don’t know what apps everyone uses and is familiar with). 2. Label 3 columns across the top Dice 1, Dice 2, Sum of Faces. 3. Go to this website (Links to an external site.). And perform 36 rolls. Record your data in your sheet.  4. Once you have finished, create a frequency table below your count, that corresponds to the sums 2 through 12.  5. Save or export your file as such firstnamelastname.xlsx  ——————– STEP B – YOUR STATISTICS AND SHARING IT WITH YOUR PEERS 1. Your data that was in your record sheet (frequency table) and put it in L1 and L2 in calculator. 2. Find the descriptive statistics using your calculator. 3. Create a histogram using your calculator. (Adjust the window settings if need be – you all had some algebra so you know what you should be looking for far as looking at the axis and scaling. Don’t ask me to help. This is an application of your algebra knowledge). 4. Create a box and whisker plot using your calculator.  5 Start a thread: INITIAL POST – FAILURE TO DO WILL RESULT IN A ZERO OR IF NOT DONE CORRECTLY WILL RESULT IN A LOSS OF  A LOT OF POINTS.  A. Provide using correct notation, the descriptive statistics in your calculator. Yes -type it up (no pictures). Just provide this in list (top- down form) B. Provide a 3 paragraph summary about:  2 paragraphs –  What does your descriptive statistics say about your data? Make conclusions AND answer the question I gave in the beginning about MAKING PREDICTIONS (If you did not do that assignment, ask your peers what it was).  Be incredibly specific. Please use good grammar and no bullet points.  1 paragraph – Describe your histogram and box and whisker plot that you made from your calculator. What is shape? How do know by looking at your calculator displays? STEP A: LOOKING AT YOUR DATA AGAIN 1. Open up your excel file. Create a relative frequency chart below your frequency chart. (Take your frequency of each respective sum/36) 2. Below the relative frequency list. Find the sum of all the relative frequencies.  STEP B: INTIAL POST – START A THREAD – FAILURE TO DO SO WILL RESULT IN A ZERO OR FAILURE TO FOLLOW ALL DIRECTIONS WILL RESULT IN A LOSS OF POINTS START WITH A PARAGRAPH ANSWERING THE FOLLOWING What is the difference between experimental and theoretical probability?  CONTINUE WITH 2 PARAGRAPHS – Talk about your data in reference to Chapter 4 & 5.  Include information about its connections to 1. Probability  (use the relative frequencies)  What was your experiment? What were classified as your your events/simple events, outcomes, sample space?  P(sum of 2) P(sum of 7) P(sum of 3 or sum of an odd number) P(sum of a number divisible by 2 or a sum of a number divisible 4) Observation of mutually exclusive, non mutually exclusive events, dependent events, independent events.  2.  Probability Distributions  Is yours a valid one?  Find the mean  and standard deviation (using your calculator) of the probability distribution. Discuss what this tells us about your data.  FINISH WITH ONE LAST PARAGRAPH. How does your experimental compare the theoretical? Be incredibly specific. 

Let f(t) represent the temperature of a turkey baking in an oven as a function of time t in the oven (in minutes). This means time is the independent variable and temperature of the turkey is the dependent variable. The turkey was in the oven for 360 minutes and then removed. Note that when something is baked in an oven, the temperature of the oven stays constant. 1. Describe the rate of change pattern over each interval of the graph listed below. (10 points) a. 0 < t < 345   b. 345 < t < 360   c. t > 360   2. Explain what is happening in each interval of your graph in terms of the turkey and its temperature, using complete sentences. (10 points) 3. Let’s say that the turkey sat on the counter for an additional hour (beyond the 390 minutes) and its temperature cooled to 80 degrees. Write that value in function notation. (10 points)

-discuss the research question – what is the hypothesis being tested  -identify the direction of the alternative hypothesis  -identify the independent and dependent variable and specific type of ANOVA being used -Determin the sample size and number of groups -articulate the assumptions and limitations that apply to ANOVA -use quantitative analysis of the provided data as the foundation of judment -interpret the Anova Results of statistical significance in relation to the research question

Assignment Content 1.  In this course, you will prepare a Mock Study based on a problem of practice in your organization/discipline. This multi-week project will allow you to demonstrate your understanding of quantitative research methods in a context that is relevant to your program discipline. Review the details of the Mock Study outlined in the Wk 8 assignment instruction. Complete the Problem of Practice Mock Study Development Template: Wk 1. Submit your assignment. Problem Statement: Diversity is becoming a major force in global markets whose adoption has been for years serving as a competitive advantage to corporations. However, very limited studies have critically explored the concept of workplace diversity. Therefore, there is the need to conduct more research to fill and bridge the existing knowledge gap. Purpose Statement: To analytically explore the effect of workplace diversity on the organization’s success

Topic : Mathematics and its Connection to Religion and Mysticism throughout History and Modern Times Analyze and summarize scholarly sources in order to write a term paper on first explaining the history and background information on number mysticism and mathematics’ connection to religion, mysticism, and the supernatural, and then why it is important to the development of mathematical ideas. You must include a MINIMUM of three references.

Identify a question of interest, in particular a Y (dependent) variable that you would like to describe and some (independent) variables X that you use to explain Y. It is important that you are able to discuss what economic theory (or common sense) would suggest the relationship between Y and the Xs should be. This will give you a framework to interpret the regression results. Remember that: • cross-sectional data consists of different units observed at the same point in time (eg, a sample of workers in 2019); in this case your goal is to explain why Y is different across units • time series data is when we track one variable over time (eg, GDP from 1950 to 2019 at the quarterly frequency); here the goal is to explain the fluctuations over time of the variable 2. The following step is to find a suitable dataset that provides a sample for the variables you want to observe. There are lots of open datasets that can be freely downloaded on the internet. Make sure that you quickly identify a dataset, otherwise it is advisable that you change to a different project idea for which you can find data. 3. Once you have the idea and the data, it is time to apply the LRM. Some issues you should investigate and discuss are: • Are the variables that you thought could be important statistically significant (at 5%)? • Are there variables that you would have liked to include in the regression but could not find data for? Discuss whether you expect these omitted variables to introduce bias in your OLS estimates. • Are the estimated effects (betas) of the expected sign? • Interpret the estimated effects • Are there one or more variables that you would like to exclude from the regression because they are irrelevant? Use the F-test • Include at least one type of nonlinearity in the LRM and interpret its effect

Reference Template for Writing Project Report Title Followed by the author: Name of the student and major Body of the report (1). Section I: Introduction including background (past development up to now), significance of studying this project, motivation of doing this project, what problems to be solved in this project and layout of the report  (2). State what you have done (your work) This part usually divides into several sections, i.e., Section II, Section III etc. Each section gives a short title. [1]. Usually for undergraduate project, student cannot do more or even nothing, you just review what it has been done in the reference literature using your own language and style.  [2]. It would be better if you could found new problems in this topic and propose/suggest possible solving method(s).  (3). Last section: Summary and Discussion (or perspective) Summarize what you have done, emphasize the result you have got and its significance, what new problem needs to be solved in the future. Reference Using the style [1]. Title of the reference paper, author, volume, page, and year of the publication journal, book chapter, or even web address (http//…). It is required to write at least 6 pages of letter size.

You will be writing a business research proposal for the company you work for (or you may make one up if you are not currently employed) to TPTB (the powers that be) for approval.  Your proposal will be based on researching a problem an opportunity, or a challenge your company faces at work. The topic that I chose to do the proposal on is employee retention. This part will be between 300 – 500 words long and address the following:                       Problem statement clearly lays out research that the proposal is seeking to address and substantial statistical concepts are evident. Research question(s) approach the project from a multitude of directions, demonstrating excellent integrative abilities. Background research/literature demonstrates extensive use of statistical concepts that proposes research to address the project with a strong analytical approach. Your submission should use APA format and include in-text and bibliographic references.

Answer the following questions about the Venn diagram below.   1. n(U) = 2. n(A) = 3. n(B) = 4. n() = 5. n() = 6. n(A  ?  B) = 7. n(A  ?  B) = 8. n( ?  ) = 9. n( ? ) = 10. n(A  ? ) = 11. n( ?  B) = 12. n(A  ?  ) = 13. n(? B) =     In a survey of 200 people 15 own a rifle, 25 own a handgun and 5 own both. Answer the following questions by using a Venn diagram.           14. How many people own a rifle only? 15. How many people own a handgun only? 16. How many people own a rifle or a handgun? 17. How many people did not own a rifle? 18. How many people did not own a handgun? 19. How many people own neither a handgun nor a rifle?   In a survey of 100 people 80 had to check accounts, 60 had savings accounts, and 50 had both. Answer the following questions by using a Venn diagram.         20. How many people had a checking account only? 21. How many people had a savings account only? 22. How many people had a checking account or a savings account? 23. How many people did not have a checking account? 24. How many people did not have a savings account? 25. How many people had neither a checking account nor a savings account? A survey of 140 people at a movie theater for one evening revealed the following information. Fifty people purchased candy, 65 purchased popcorn, and 80 purchased a drink. Twenty-five people purchased popcorn and candy, 50 people purchased popcorn and a drink, and 30 people purchased candy and a drink. Twenty people purchased all three. Use a Venn diagram to answer the following questions.             26. How many purchased only a drink? 27. How many purchased popcorn or candy? 28. How many purchased popcorn and a drink but not candy? 29. How many did not purchase a drink? 30. How many purchased only popcorn? 31. How many did not purchase any of the three? 32. How many purchased a drink or candy? 33. How many did not purchase popcorn? 34. How many purchased candy and a drink but not popcorn? 35. How many purchased popcorn or a drink?

Summative Assessment: Create a data collection instrument (questionaire) on a contemporary research topic. Report of about 2000 words is required (justification of questions contained in survey and design) Part A: Develop Survey questions -> create survey questions t Part B: Method of Survey Implementation -> describe how survey is to be conducted and how to select the target audience  Learning Outcomes: – Apply fundamentals of quantitative reasoning to solve real-world problems – Manipulate and summarise data that accurately represents real-world problems. – Interpret and appraise statistical output to assist in real-world decision making.