# Mathematics and Statistics

## [SOLVED] BHS / 220 Intro to Health Statistics Trident University Module #3 SLP Mean ,0,0,0,0,0,15,15,30,30,45, and 60/12 So 195/12= MEAN=16.

MEAN=16.25To calculate deviance for each data value from the mean you must subtract each of the individual numbers by the mean as follows: Deviation of Mean: 0-16.25= -16.25, 0-16.25= -16.25, 0-16.25=- 16.25, 0-16.25= -16.25, 0-16.25= .25, 0-16.25= -16.25, 15-16-25=-1.25, 15-16.25=-1.25, 30-16..75, 30- 16..75, 45-16..75, 60-16..75————?The deviances are squared and then added together:(-16.25)2 + (-16.25)2 + […]

## [SOLVED] Mini Project

This projectPreview the document analyzes the activity given on pages 4-5 of the text. (The blue shows a hyperlink, click for the project details. I use this method frequently for chapter projects.

## [SOLVED] Choosing and Locating a Dataset

Instructions:Dear Allywritershark, here are some helpful instructions about this assignment:1. I am studying this semester this course: Advanced Quantitative Research Methods and I need you to help me with this course.2. In this course, we will apply what we have learned in the two statistics classes that you have helped me last semesters.3. Specifically, we will do secondary analysis using a dataset of my choice.4. This assignment is: start to explore datasets so that you can have a dataset ready sooner than later.5. I need you to choose, explore, and locate a Dataset of your choice and provide it to me.6. Please, choose and locate a Dataset on Intimate Partner Violence Against Married Women With Disabilities in Saudi Arabia , but if you do not find a Dataset in Saudi Arabia, no problem if you can bring a Dataset in America.7. For now, I just need you to start choosing, exploring, and locating a Dataset on Intimate Partner Violence Against Married Women with Disabilities in Saudi Arabia.8. In another order, I will let you start formulating tentative research questions. Please, make sure that these research questions are related to a Dataset that you are going to choose and locate it. Both of the Dataset and the research questions are going to be about: Intimate Partner Violence Against Married Women with Disabilities in Saudi Arabia.9. I have attached slides of PowerPoint. It has many significant information about this assignment.10. I recommend you to find this book online:Vartanian, T. P. (2011). Secondary data analysis. Oxford University Press.Chapter 4: Secondary Datasets, page 23 in this textbook will give you many examples of secondary datasets. Also, this chapter explains several social work, social science, and related datasets, along with where and how to access them and their key characteristics.11. The Professor has attached a document that lists examples of available datasets, and this can be a good starting point. In addition, many governmental agencies have datasets that are available to the public and/or researchers (e.g., https://nces.ed.gov/surveys/SurveyGroups.asp?Group=8).12. Here are some Resources for Identifying a Dataset:- National Data Archive on Child Abuse and Neglect (NDACAN)- Census Data- List of datasets compiled by University of Michigan: Click Data for Social Work tab on the left.- List of datasets compiled by Washington University- List of datasets compiled by University of California,Berkeley- List of datasets compiled by University of Massachusetts Medical School13. Things to Consider when Selecting a Dataset:? Is the population appropriate for your research?? Does the dataset have the dependent variable of your interest?? Does the dataset have the independent variable(s)/control variable(s) of your interest?? Does the dataset have adequate identifiers for the target groups of your interest?? Does the dataset require special authorization to obtain?? Do you have the programming/analytic skills to use the dataset?14. The deadline for this assignment on Monday February 1st at 12:00 Noon.

## [SOLVED] Mathematical Induction Question

Question1:In this question you will use strong induction to prove that your new algorithm works correctly.In other words, you will prove that for all n element of ? for all x element of ?-{0} FP(x,n) = xna) Predicate Function (1 mark)Your conjecture has already been stated in symbolic form:It is a statement of the form ?n??, P(n)What is the predicate function P(n)?b) Proof: Base cases (4 marks)c) Proof: Inductive step setup (2 marks)This is the beginning of the inductive step where you are stating the assumptions in the inductive step and what you will be proving in that step. As you do so, identify the inductive hypothesis.d) Proof: Inductive step (14 marks)Question 2:In this question you will use strong induction to prove that your new algorithm is very efficient.Given a non-zero real number x, and a natural number n, define CFP(x,n) to be the cost of FP(x,n) = the total number of multiplications in the total execution of FP(x,n)You will prove that for all n element of ?+ all x element of ?-{0} CFP(x,n) <= 2 log_2?na) Predicate function (1 mark)Your conjecture has already been stated in symbolic form:It is a statement of the form ?n??+, P(n)What is the predicate function P(n)?b) Proof: Base cases (2 marks)Proof: Inductive step setup (2 marks)This is the beginning of the inductive step where you are stating the assumptions in the inductive step and what you will be proving in that step. As you do so, identify the inductive hypothesis.d) Proof: Inductive step (17 marks)Question 3: Define a game as follow: you begin with an urn that contains a mixture of black and white balls, and during the game you have access to as many extra black and white balls as you need.In each move of the game, you remove two balls from the urn without being able to see what colour they are. Then you look at their colour and do the following:If the balls are the same colour, you keep them out of the urn and put a black ball in the urn.if the balls are different colours, you keep the black one out of the urn and put the white one back into the urn.Each move reduces the number of balls by one, and the game will end when only one ball is left in the urn.In this assignment you will figure out how to predict the colour of the last ball in the urn and prove your answer using mathematical inductionMathematical Induction Questiona) Make a conjecture about the colour of the final ball based on the initial number of black and white balls in the urn.b) Translate that conjecture into a theorem in symbolic form using first order logic notation. You will need to invent some notation, including functions, to do so. Define your new notation and functions clearly.c) Use mathematical induction to prove the formal conjecture you made in Q2.Before you start, please identify the predicate function P(n) that you will be provingIn the inductive step of your proof, do not forget to clearly identify the Inductive Hypothesis (IH).

## [SOLVED] Reality in the Matrix

The Matrix is brimming with philosophical ideas, some of which are explored by Plato, Descartes, Bostrom, and Chalmers in the assigned readings. These include the following:What is the relationship between reality as we perceive it vs. reality as it is in itself?Do we, or could we, have any good reason for believing that we are not in living in a simulation (whether one created by a technologically advanced civilization, an omnipotent and wholly malevolent demon, or by our own minds while we sleep)?If we cannot, then should we change how we think, feel, and live? How we behave towards others? If so, how so?If we have some good reason for believing that we are living in a simulation, then should we change how we think, feel, and live? How we behave towards others? If so, how so?Suppose that you could either live outside the Matrix in the dangerous, squalid, yet brave and admirable conditions that the crew of the Nebuchadnezzar do, or inside the Matrix in the way that Cypher hopes to live, as payment for betraying the crew to Agent Smith. Which life would you choose, and why?To what extent can, and should, we trust others and ourselves to help successfully guide us through the painful, difficult process of learning that reality is drastically different than how it appears — whether it’s something as extreme as learning that you live in a simulation, or something more common like learning that some of your deepest religious, moral, or political commitments are mistaken? For this assignment, please pick one of these questions and discuss in a concrete way and in the form of an argumentative essay how the concepts and arguments discussed by Plato, Descartes, Bostrom, and Chalmers can shed light on some of the characters, plot points, themes, and motifs of The Matrix, or vice versa, as they bear on that question. This short essay should be between 1250-1500 words long,What do I mean by ‘in a concrete way’ and ‘in the form of an argumentative essay’? Your short essay must do the following, each of which will be worth 2 points, with 1.8 – 2 points in the ‘A’ range (excellent), 1.6 – 1.8 points in the ‘B’ range (good), and so on. I’ll provide a more detailed rubric later this week.FIRST: The essay must begin with a paragraph that includes (i) a thesis statement describing what position you plan to argue for and (ii) a key supporting claim: the most interesting — and most controversial — premise of your argument for this position, and the premise you plan to spend the most time developing and defending. SECOND: The essay must then spend at least a paragraph or two describing some specific characters, plot points, themes, and motifs of The Matrix that you plan to analyze using concepts and arguments from Plato, Descartes, Bostrom, and Chalmers, and/or vice versa. THIRD: The essay must then turn to one of the questions above and argue for a specific answer to it, using whatever materials from the readings or The Matrix are relevant. You don’t need to regiment the argument in numbered premise-conclusion form, but you do need to clearly and carefully describe your reasoning step-by-step.FOURTH: Finally, the essay must then develop and defend the key supporting claim: that includes explaining what good reasons there are for believing that it is true — reasons that could convince someone else to adopt your view — and arguing against potential objections.

## [SOLVED] Report on Hypothesis Testing and Statistics

ScenarioYou have been hired by your regional real estate company to determine if your regions housing prices and housing square footage are significantly different from those of the national market. The regional sales director has three questions that they want to see addressed in the report:Are housing prices in your regional market higher than the national market average?Is the square footage for homes in your region different than the average square footage for homes in the national market?For your region, what is the range of values for the 95% confidence interval of square footage for homes in your market?You are given a real estate data set that has houses listed for every county in the United States. In addition, you have been given national statistics and graphs that show the national averages for housing prices and square footage. Your job is to analyze the data, complete the statistical analyses, and provide a report to the regional sales director. You will do so by completing the Project Two Template located in the What to Submit area below.DirectionsIntroductionPurpose: What was the purpose of your analysis, and what is your approach?Define a random sample and two hypotheses (means) to analyze.Sample: Define your sample. Take a random sample of 100 observations for your region.Describe what is included in your sample (i.e., states, region, years or months).Questions and type of test: For your selected sample, define two hypothesis questions and the appropriate type of test hypothesis for each. Address the following for each hypothesis:Describe the population parameter for the variable you are analyzing.Describe your hypothesis in your own words.Describe the inference test you will use.Identify the test statistic.Level of confidence: Discuss how you will use estimation and conference intervals to help you solve the problem.1-Tailed TestHypothesis: Define your hypothesis.Define the population parameter.Write null (Ho) and alternative (Ha) hypotheses.Specify your significance level.Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.Summarize your sample data using appropriate graphical displays and summary statistics.Provide at least one histogram of your sample data.In a table, provide summary statistics including sample size, mean, median, and standard deviation.Summarize your sample data, describing the center, spread, and shape in comparison to the national information.Check the conditions.Determine if the normal condition has been met.Determine if there are any other conditions that you should check and whether they have been met.Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.Calculate the hypothesis statistics.Determine the appropriate test statistic (t).Calculate the probability (p value).Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.Relate the p value and significance level.Make the correct decision (reject or fail to reject).Provide a conclusion in the context of your hypothesis.2-Tailed TestHypotheses: Define your hypothesis.Define the population parameter.Write null and alternative hypotheses.State your significance level.Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.Summarize your sample data using appropriate graphical displays and summary statistics.Provide at least one histogram of your sample data.In a table, provide summary statistics including sample size, mean, median, and standard deviation.Summarize your sample data, describing the center, spread, and shape in comparison to the national information.Check the assumptions.Determine if the normal condition has been met.Determine if there are any other conditions that should be checked on and whether they have been met.Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.Calculate the hypothesis statistics.Determine the appropriate test statistic (t).Determine the probability (p value).Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.Relate the p value and significance level.Make the correct decision (reject or fail to reject).Provide a conclusion in the context of your hypothesis.Comparison of the test results: See Question 3 from the Scenario section.Calculate a 95% confidence interval. Show or describe your method of calculation.Interpret a 95% confidence interval.Final ConclusionsSummarize your findings: Refer back to the Introduction section above and summarize your findings of the sample you selected.Discuss: Discuss whether you were surprised by the findings. Why or why not?

## [SOLVED] Probability Analysis

Excel: Probability AnalysisPrior to beginning work on this assignment, read Chapters 5-7 in your text. Evaluate your portfolios performance over the past year using probability tools and techniques.Using the Student Worksheet, Week 2 tab, respond to the following questions:For the entire portfolio and each component in the portfolio, determine the empirical probability that the month-to-month change in value rose during the 12-month period. Additionally, determine the conditional probability of each component increasing in value in the same month that the overall portfolio value increases. Interpret this outcome.For the total portfolio performance, determine the binominal probability that we would expect to see exactly this number of monthly increases. Conclude the binominal probability that you would get this value or less. Conclude the binominal probability that you would get more than this number. Interpret the results. (Use the empirical probability for the total portfolio performance found in Q1 as a binominal probability.)Assume that the probability of an increase in total value in the month over month comparison was normally distributed. Using the empirical probability you found in Q1 (and using the continuity correction factor), determine:The mean and standard deviation of a normal curve distribution.The normal curve based probability of getting the exact number of monthly increases that you observed.The probability of getting that number and fewer.The probability of getting more than that number.Compare and contrast the two probability outcomes.Hello Stano,Hope you’re doing well,For this HW I did already week 1, so each week i have to fill out the excel spreadsheet with the information requested.Let me know if you work with stats HW, so I can continue working with you for the next 5 weeks.Please see attached the excel sheetThanks you !

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