Mathematics

Here are six math problems for Complex Variables. This is easy for you if you’re a master of Complex Variables. The price is negotiable. I put the problems and the book you need in the file.

Instructions: ? You are expected to provide answers for every question. You are encouraged to show all of your work so that marks can be awarded for partially correct answers. ? Although you are encouraged to collaborate with your classmates, each of you is expected to submit a separate and distinct assignment. ? Use SVP (T) = 6.112 e [17.62 T / (243.12 + T)] where T is the environmental or dew-point temperature in oC; SVP is in hPa. Note that there is a SVP-from-T calculator available via Moodle. ? Use T (SVP) = (243.12/17.62) * { 17.62 * ln [ SVP(T) / 6.112 ] } / { 17.62 – ln [ SVP(T) / 6.112 ] } to retrieve the T ( oC) from the SVP

Critical Review Assignment (Last updated February 21, 2020) The article for this assignment is provided in the syllabus, under week 9. This is not a group project and it must be done independently. Read through this outline carefully. When your instructor grades your submission, they will be looking to see if you followed the provided format: you can lose points if you do not. If you have any questions about what to do or need interpretation of the instructions, please post them in the Questions breakout room so that all students can benefit from the information. Mastery of statistics involves not only the ability to generate sound statistical data, but also the ability to critically evaluate the statistical analysis of others. The latter is the focus of the Critical Review assignment in MGMT 650. A review, or critique, is not a summary or a simple retelling of the major findings in a research article. It is much more. It assesses how well the researcher carries out the required steps in the research process. Elements of the critique Summary of the article (Discuss what the article is about) This part SHOULD NOT include any of your personal input but rather just summarize what the author did in his/her research. • Research Topic o What question is the researcher trying to answer? • Research Methodology o How did the researcher study the topic? Survey? Experiment? Statistical Analysis? o Briefly answer who, what, where, and when, and how. • Major Conclusions o What does the author conclude? o What recommendations does he make? This section should be about 1.5 pages in general. The next part is the key of the critique. This next sections of your paper gives an assessment of how well the research was conducted based on what you learned. Remember you can use your own personal experience and outside articles to help you support your point of view in this section of the assignment. In-depth critique of the article (Discuss how well the research is conducted in your own words) Write a brief paragraph for each of the following listed elements in your own words: • Purpose o Is the research problem clearly stated? Is it easy to determine what the researcher intends to research? • Literature Review o Is the review logically organized? o Does it offer a balanced critical analysis of the literature? o Is the majority of the literature of recent origin? o Is it empirical in nature? • Objectives/hypotheses o Has a research question or hypothesis been identified? o Is it clearly stated? o Is it consistent with discussion in the literature review? • Ethical Standards Applied o Were the participants fully informed about the nature of the research? o Was confidentiality guaranteed? o Were participants protected from harm? • Operational Definitions o Are all terms, theories, and concepts used in the study clearly defined? • Methodology o Is the research design clearly identified? o Has the data gathering instrument been described? o Is the instrument appropriate? How was it developed? o Were reliability and validity testing undertaken and the results discussed? o Was a pilot study undertaken? • Data Analysis/Results o What type of data and statistical analysis was undertaken? Was it appropriate? o How many of the sample participated? Significance of the findings? • Discussion o Are the findings linked back to the literature review? o If a hypothesis was identified was it supported? o Were the strengths and limitations of the study including generalizability discussed? o Was a recommendation for further research made? • References o Were all the books, journals and other media alluded to in the study accurately referenced? • Conclusion o Considering all of the evaluation categories, is the article well or poorly researched? The following online article may be helpful to you. Step-by-step guide to critiquing research. Part 1: Quantitative research https://www.unm.edu/~unmvclib/cascade/handouts/critiquingresearchpart1.pdf Layout of your paper and other writing requirements Your final report should be organized in the following format: • Title page o Include name and author of article you critique o Include your name and MGMT 650 section number • Brief summary of article • In-depth critique of article • Bibliography Additional writing requirements: • Submit your paper as a Word document. No PDF files. • Double-space • Use 12 point Times New Roman font and 1 inch margins • Use section headings to identify the different components of your discussion • Number all pages after the title page • Use APA format for citations and bibliography • Do not use quotes from the article, paraphrase • Keep the tone formal. Write like a researcher. Avoid the use of first person pronouns such as I, we, me, us, etc. • Check for spelling, punctuation and grammatical errors • Keep your paper to 5-6 pages, not including the title page • When submitting to LEO, incorporate your name in the filename that you use. For example, Smith_critique.docx • Normal late penalties apply

1) Calculate a 95% and 99% confidence interval for the following data set. Note: this is a sample. Show your steps including the mean, z-score, standard deviation, and standard error that you use.12 10 18 16 11 10 9 17 6 1310 20 21 24 18 17 19 12 11 102) In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a mean of 37 and a standard deviation of 7. The researcher predicts that the treatment will create an effect on the subject, but does not specify if the measurement will increase or decrease. Using a 5% significance level (p < .05), what conclusions should this researcher make about the treatment. Utilize the five-step hypothesis testing process and show all of yourwork.3) For this activity, utilize the five-step process and the following data set.The two populations are:Population A_Mean=36, SD=4Population B:(sample of one): Raw Score=44Set up a one-tail Z test evaluating the improvement of a score, presenting the following:Restate the research question as a research hypothesis and a null hypothesis about the populations.Determine the characteristics of the comparison distribution.Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be rejected.Determine your sample’s score on the comparison distribution.Decide whether to reject the null hypothesis.

NO SOURCES OR STYLE OF WRITING REQUIRED !! Answer the questions above : (1) Can you describe a situation or a data set for which one would one would prefer to use the median rather than the mean? (2) Can you think of a situation for which the mean would be preferred to the median and the mode? (3) Have you ever seen the median used in the real world (in the media. . . )? If so, what was the context. . .Why do we not always use the median? (4) As the Presidential Election approaches, statisticians will play an active role helping candidates plot strategies by polling potential voters. When might the pollsters use the mean, median, or mode in this context?? Think of a study that might result in the collection of data that is: (a) A graph skewed to the left. (b) bimodal (c) uniform

Which of these triangle pairs can be mapped to each other using a translation and a rotation about point A? Get instant solution at GPAFix. Which of these triangle pairs can be mapped to each other using a reflection and a translation?

Questions on Statistics and Casual Inference (Holland, 1986). 1. What is the fundamental problem of causal inference, and why is it such a problem in international affairs research? Be sure to define a causal effect in your answer. (10 points) 2. What is Holland’s justification for the claim that an attribute cannot be a cause? Do you agree or disagree? Explain your position clearly and carefully. (10 points) 3. What is a confounding variable, and how might the presence of one lead to suspicion about the validity of a causal claim? How do confounding variables relate to Holland’s assumption of independence? (10 points) 4. 4. What are the main differences between an experimental research design and an observational research design? What is one major limitation or drawback to each type of design?

Paper needs to follow guidelines and rubric to answer questions.

1) Write a few sentences describing a business related population with characteristics that you assume is near normally distributed. State a metric (height, scores, etc.) that can be used to measure the characteristic. Explain in detail why you’ve concluded that the situation meets the criteria for a near normal distribution. 2) Write a few sentences describing a business related population with characteristics that you assume follows a binomial distribution. Be sure to address all criteria for the distribution. State a metric that can be used to measure the characteristic. Explain in detail why you’ve concluded that the situation meets the 4 criteria for a binomial distribution. Speak to each of the 4 criteria. 3) Write a few sentences describing a business related population with characteristics that you assume follows a Poisson distribution. Be sure to address all criteria for the distribution. State a metric that can be used to measure the characteristic. Explain in detail why you’ve concluded that the situation meets the criteria for a near Poisson distribution. 4) Make sure you have the Data Analysis Toolpack add in installed.  Use the Random Number Generator (Data Analysis Menu) in Excel to generate a normally distributed dataset of 100 sample points . DO NOT submit your excel file. Chose your own mu and sigma and report your choice.  Generate a histogram of this data using Excel. 5) Use Excel to generate a 100 point dataset which fits the  binomial distribution. Choose n=5  and choose your own p (see spreadsheet notes). DO NOT submit your excel file.  Report your choice for p. Generate a histogram of this data using Excel.

This week we will begin the inference part of the course, which is making an estimate or testing a claim about a population based on only a sample. The first  video gives an introduction to estimation and an overall summary of the confidence interval. We will cover this in more detail in class this week. The second video goes through an example of how to calculate and interpret a confidence interval for battery life Go ahead and watch these videos and make comments about what they are trying to convey about estimation using confidence intervals.