Mathematics

JP Morgan conducted a descriptive research design using a survey. Based on their problem definition, what other research design options would you recommend to help JP Morgan reach their objectives? What informs your answer?

Video link : https://www.dropbox.com/s/osgf0qw222dal1w/Wild_Planet.mov?dl=0What type of research design options and strategies are leveraged at Wild Planet?Are they using Exploratory, Descriptive or Causal Research Design techniques? What specific methodologies did you notice in the video?Is there anything further you would recommend for Wild Planet marketing management to give them the information to further grow their business?

“Assuming that in 2014, Broward County had 952 miles of paved roads. Starting in 2015, the County has been building 12 miles of new paved roads each year. At this rate, how many miles of paved road will Broward County have in 2030? (Assume that no paved roads go out of service and nothing block the project.).” What would be your approach to solve this problem? Elaborate. 250 words

Area under the curve. Identify what percentage of the distribution should be found under the curve using the below information. Although not graded, it may be helpful to draw the corresponding normal distribution where that percentage is located (either here if you know how or on a piece of scrap paper for your own reference). An example is provide below.Example: What percentage of the distribution would we expect to fall between the Z-score for the value of 426 from the original distribution and a Z-score of 0?The Z-score associated with 1,416 is -1.25. We would expect 39.44% of the distribution to fall between the Z-scores of -1.25 and 0.a. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and a Z-score of 0?b. What percentage of the distribution would we expect to fall between the Z-score for the value of 603 from the original distribution and a Z-score of 0?c. What percentage of the distribution would we expect to fall between the Z-score for the value of 543 and the rest of the distribution to the right of that value?d. What percentage of the distribution would we expect to fall between the Z-score for the value of 582 and the rest of the distribution to the right of that value?e. What percentage of the distribution would we expect to fall between the Z-score for the value of 423 from the original distribution and the Z-score for the value of 680 from the original distribution?

Standard Error of the Mean. What is the standard error of the mean for the following values sampled from the population of Seattle robberies: 426, 445, 603, 579, 543. (Also treat these five numbers as a population when calculating their standard deviation)?9. (5 points). Standard Error Z-scores & Area under the curve.a. What is the Z-score associated with the standard error of the mean you calculated in question 8?b. What percentage of a normal distribution would we expect to fall between the Z-score for the standard error of the mean and a Z-score of 0?Dataset: The dataset for this portion of the assignment is data from the Seattle Public Safety Survey and is labeled Safety_Survey_Midterm.sav. IMPORTANT: Use only the dataset linked from the Assignments page where the Midterm information is located and where you downloaded this document.There are multiple variables that capture information about the respondents and their views on public safety related issues in the Seattle area. To be eligible to complete the survey, respondents need to live and/or work in Seattle. Please type your answers directly into this document and insert all graphs and tables requested into this document. In addition, save your output and submit it with this file.10. (5 points). Create two pie charts that compare the distribution of individuals who did not report their victimization (NO_REPORT) between whether the respondent identified as female or not (FEMALE). Edit the graph so that it is presentable and copy and paste it into this document. Explain what differences, if any, do you see between the two pie charts.11. (5 points). Create a scatterplot that explores the relationship between a respondent’s perception of social disorganization in their neighborhood (SOCIAL_DISORGANIZATION_SCALE) and their fear of crime (FEAR_CRIME_SCALE). Social disorganization measures a respondent’s perception of visible problems in their neighborhood, such as broken windows, graffiti, etc… Fear of crime measures how often they think about, or are fearful of, criminal victimization. Edit the graph so that it is presentable and copy and paste it into this document. What trends do you see in the data? Offer an explanation for why you think that might be.12. (5 points). Using the year the respondent completed the survey (SURVEY_YEAR) and whether the respondent was victimized or not (VCTM_YES), create a multiple line graph. Edit the graph so that it is presentable and copy and paste it into this document. Interpret your graph for me (i.e. explain the patterns you see in the data).13. (5 points). Using the variable for social cohesion (SOCIAL_COHESION_SCALE) request and report on the three main measures of central tendency we discussed in class as well as the three measures of variability/dispersion.14. (5 points). Request frequency tables for marital status (MARITAL_STATUS) and the age of the respondent (AGE). Answer the below questions.a. What is the mode for marital status?b. What % of respondents were single?c. For respondents who provided information about their age, what percent were younger than 60?d. What is the scale of measurement for age?

Scenario: It is assumed that college students attending HBCU schools have an estimated average student loan debt of $40,000 and a standard deviation of $7,000, which follows a normal distribution. You may use the shorthand notation, X ~ n(40, 7). Use this information to answer the following questions. Show all work in the yellow section provided and turn in your work to me by noon tomorrow, Friday, 26 March 2021. ALSO, PROVIDE A CORRECT INTERPRETATION. EXPAND THE YELLOW WORK SECTION AS NEEDED.

1. Nulls in Database?When designing a database are nulls ok? In a Customer table, what do we do about middle initial and suffix? What are the pros and cons of adding a column or just creating another table? Please explain.2. Agile vs Waterfall?List 3 types of IT Projects that you would use an SDLC (Waterfall) approach and 3 types of IT Projects you would use an Agile approach. Please explain why.3. Cloud?What are some of the considerations for deciding whether to purchase your own physical servers or putting your organization’s data on the cloud? Please discuss the merits and risks of both.4. IaaS vs PaaS vs SaaSPlease describe the difference between IaaS vs PaaS vs SaaS, each of their purpose, anf their benefits.5. Microservices and ContainersBriefly describe Microservices and Containers and their purpose.6. Scrum and KanbanPlease briefly describe the difference between Scrum and Kanban and what environment would be suitable for each.

Analysis of Data with Descriptive StatisticsOn the questionnaire, question 5 utilizes a 4-point Itemized Rating scale (illustrated below). This scale is balanced and can be assumed to yield interval scale / metric data. Given the preceding, invoke SPSS to calculate the mean and standard deviation for all of the variables in 5 (Q5a – Q5i).1. Using only the mean for each of the variables, which of the movie theater items was considered “most important”?Answer:2. Using only the standard deviation for each of the variables, for which question was there the greatest amount of agreement? Hint: Least amount of dispersion regarding the response to the movie item.Answer:3. Questions 4 and 6 utilize multiple-choice questions that yield nonmetric data but that are ordinal scale. The appropriate measure of central tendency for nonmetric data are the median and the mode.a. What is the median response for question 4, concerning the amount a person spends on food / drink items at a movie?Answer:b. Concerning question 6, the distance a person would drive to see a movie on a “big screen,” what is the mode of that distribution of responses?Answer:4. In this question, the objective will be to compare the results of median and mean responses for Q3.Answer:a. Mean response:b. Median response:c. Standard deviation:d. Minimum response:e. Maximum response:5. When the responses to a question contain extreme values, the mean response can lie in the upper or lower quartile of the response distribution. In such a case, the median value would be a better indicator of an average response than the mean value. Given the information you obtained from answering #4 above, is the mean or median a better representative of the “average” response to Q3?Answer:Chapter 15 SPSS Exercise 4 (20 points)

a) Obtain time series of real GDP and real consumption for a country of your choice. Provide details.(b) Display time-series plots and a scatterplot (put consumption on the vertical axis).(c) Convert your series to growth rates in percent, and again display time series plots.(d) For each series, ,provide summary statistics (e.g., mean, standard deviation, range, skewness, kurtosis,…).(e) Run a simple OLS linear regression in R and interpret its coefficient estimates.(f) Interpret goodness-of-fit metrics for OLS linear regression.(g) Relate R2 with correlation coefficient.Problem 2Monte Carlo experiment: Consider the following model:Yi = ?1 + ?2Xi + uiYou are told that ?1 = 25,?2 = 0.5,? 2 = 9, and ui ? N(0, 9).Assume ui ? N(0, 9), that is, ui are normally distributed with mean 0 and variance 9. Generate 10 sets of64 observations on ui from the given normal distribution and use the 64 observations on X given in Table 2, to generate 100 sets of the estimated ? coefficients (each set will have the two estimated parameters). Takethe averages of each of the estimated ? coefficients and relate them to the true values of these coefficientsgiven above. What overall conclusion do you draw?1

1. A statistician has a sample X1, . . . , Xn from N(µ, ? 2). Also, the statis-tician has a sample Y1, . . . , Yk from an exponential distribution with param- eter ?. Suppose that these samples are independent. Find the variance of a random variable Z = 3X? ? 5Y? .2. Let a sample of size n from a distribution with the pdf f(x) be given. What is the pdf of X(1)?3. Let X1, . . . , Xn be independent RVs with E?(Xl) = l?. Consider an es- timator ?? =?n l=1 alXl. What condition should be imposed on a1, a2, . . . , anso that ?? is an unbiased estimator? 4. Let X1, . . . , Xn be iid Bernoulli with the probability of success ?. Sug-gest the minimal variance unbiased estimator, and then prove, using Cramer- Rao inequality, its efficiency.5. Consider a sample of size n from Unif(?, ?). Find (minimal) sufficient statistic for the pair (?, ?).6. Consider a sample of size n from Unif(0, ?). Find a method of mo- ments estimator of ?.7. Let we observe a sample X1, . . . , Xn where Xl = ? + Yl, with Yl being iid Expon(?). Find the MLE of ?. Hint: Do not forget about support of the exponential RV.8. For the problem 7, let ? be given. Find the MLE of cos(?). 9. Consider a sample of size n from Poisson(?). Find a method ofmoments estimator for the estimand ?2. 10. Let a sample of size n from N(?, ?2) be given. A statistician believes