Mathematics

Chi Square TestObserved Expected10 723 2039 4540 4727 323 5A real estate company is analyzing the selling prices of residential homes in a given community; 250 homes that have been sold in the past month are randomly selected and their selling prices recorded. The statistician working on the project has stated that in order to perform various statistical tests, the data must be distributed according to a normal distribution. In order to determine whether the selling prices of homes included in the random sample are normally distributed, the statistician divides the data into 6 classes of equal size and records the number of observations in each class. She then performs a chi-square goodness-of-fit test for normal distribution. The results are summarized in the table. 1. Complete the five step hypothesis Chi Square Goodness of fit test at level of significance 0.05. What is your decision? 2. What is your decision if you conducted the hypothesis test at level of significance 0.10? 3. At what significance level would your decision change?

You have been working in a criminal justice agency for almost a year now, and one of your goals for your annual review is to propose new ideas or support new policies. With a month before your review, you are ready to work on this goal.Research a new or proposed criminal justice policy you support.Write a 700 to 1,050-word memo in support of a new policy in which you:Describe the policy.Explain why you support the implementation of the policy.Provide statistical data in support of the policy. Explain how the data supports the policy.Format your memo consistent with APA guidelines.

Variable Name in the Data SetVariable TypeDescriptionQualitative or QuantitativeVariable 1:SocioeconomicVariable 2:ExpenditureVariable 3:ExpenditureData Set Description and Method Used for Analysis:Briefly describe the data set, using information provided with data set and write up in Assignment #2. Also describe what method(s) (i.e., free web applets, Excel, TI Calculator) you used to analyze the data.1. Confidence Interval Analysis: For one expenditure variable, select and run the appropriate method for estimating a parameter, based on a statistic (i.e., confidence interval method) and complete the following table (Note: Format follows Kozak outline):Table 2: Confidence Interval Information and ResultsName of Variable:State the Random Variable and Parameter in Words:Confidence interval method including confidence level and rationale for using it:State and check the assumptions for confidence interval:Method Used to Analyze Data:Find the sample statistic and the confidence interval:Statistical Interpretation:

Answer all questions. Show all work. Contact your instructor with any question before the due date. The annual government taxes for the residents of a country is calculated using the piece-wise function below. f(x) is the annual taxes owed to the government, and x is the person’s annual income. Piece-wise Function 1a.  Find f(65,000) (5 pts) 1b.  Give a detailed explanation of what your result says  (5 pts) 2a.  Find f(40,000)  (5 pts) 2b.  Give a detailed explanation of your results (5 pts) 3a  Find f(20,000)  (5 pts) 3b.  Give a detailed explanation of the result (5 pts) 4a  Find f(8,500)  (5 pts) 4b.  Give a detailed explanation of this result  (5 pts) 5.  Explain why this function had to be piece-wise. Explain how the function works.  (10 pts) For more information on Piece-wise Function read this: https://en.wikipedia.org/wiki/Power_transform

Instructions Hypothesis Testing Imagine that you are studying automobile buyers who choose to replace their current car near the end of its expected lifetime. Specifically, you are interested in how many different dealers late purchasers visit. Let µ be the mean number of dealers visited by all late replacement buyers. A random sample of 100 late replacement buyers yields a mean and standard deviation of the number of dealers visited of x¯ = 4.32 and s = 0.67. The test statistic and the corresponding p-values are listed below:  Test Statistic p-value 4.78  < 0.0001 Tasks: Set up null and alternative hypotheses needed if we wish to attempt to provide evidence that µ differs from 4 dealers. Identify the test you will apply to test the hypothesis. Justify your choice. Choose an appropriate level of significance. Define type I and II errors in the context of your hypotheses. State your decision regarding the hypothesis. State the conclusion. Submission Details: Submit a Microsoft Word document that contains your responses to assignment questions, using APA style. Name your document SU_BUS7200_W1_ LastName_FirstInitial.doc For more information on Hypothesis Testing read this:https://en.wikipedia.org/wiki/Hypothesis_Testing

The topic is: Do men have more car crashes than women? For more information on Statistics And Probability read this: https://en.wikipedia.org/wiki/Probability_and_statistics

Click on the link below to open a PDF document of four graphs. View the images and write a paragraph length (5 or more sentences) analysis for each of the four graphs. Each graph’s analysis should, minimally, include the following:What makes the graph misleading? Find at least two flaws in the design of the graph and the presentation of the data within it. Look closely and try to find unique flaws in each of the graphs. Many flaws are repeated throughout the four graphs, but there are several that are unique to each. Describe in detail how the flaws mislead those who view the graphs and discuss the tactics from the Misuse of Statistics lesson that are being used.What questions do you have, or what additional information do you need about the information in the graphs to draw valid conclusions from them.What is the agenda of individual creating or presenting the information; why did they present the information in a misleading manner?Pertaining to each specific graph, how could belief of deceiving statistics such as this be bad for consumers, citizens, the United States, etc.? What groups are most damaged by this; what could happen if people believe this misleading information?misleading graphs.pdf

CompetencyIn this project, you will demonstrate your mastery of the following competency:· Apply statistical techniques to address research problems.· Perform hypothesis testing to address an authentic problem.OverviewIn this project, you will apply inference methods for means to test your hypotheses about the housing sales market for a region of the United States. You will use appropriate sampling and statistical methods.ScenarioYou have been hired by your regional real estate company to determine if your region’s 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:1. Are housing prices in your regional market higher than the national market average?2. Is the square footage for homes in your region different than the average square footage for homes in the national market?3. 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.DirectionsIntroduction1. Purpose: What was the purpose of your analysis, and what is your approach?a. Define a random sample and two hypotheses (means) to analyze.2. Sample: Define your sample. Take a random sample of 100 observations for your region.a. Describe what is included in your sample (i.e., states, region, years or months).3. 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:a. Describe the population parameter for the variable you are analyzing.b. Describe your hypothesis in your own words.c. Describe the inference test you will use.i. Identify the test statistic.4. Level of confidence: Discuss how you will use estimation and conference intervals to help you solve the problem.1-Tailed Test1. Hypothesis: Define your hypothesis.a. Define the population parameter.b. Write null (Ho) and alternative (Ha) hypotheses.c. Specify your significance level.2. Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.a. Summarize your sample data using appropriate graphical displays and summary statistics.i. Provide at least one histogram of your sample data.ii. In a table, provide summary statistics including sample size, mean, median, and standard deviation.iii. Summarize your sample data, describing the center, spread, and shape in comparison to the national information.b. Check the conditions.i. Determine if the normal condition has been met.ii. Determine if there are any other conditions that you should check and whether they have been met.3. Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.a. Calculate the hypothesis statistics.i. Determine the appropriate test statistic (t).ii. Calculate the probability (p value).4. Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.a. Relate the p value and significance level.b. Make the correct decision (reject or fail to reject).c. Provide a conclusion in the context of your hypothesis.2-Tailed Testa. Hypotheses: Define your hypothesis.1. Define the population parameter.2. Write null and alternative hypotheses.3. State your significance level.b. Data analysis: Analyze the data and confirm assumptions have not been violated to complete this hypothesis test.b. Summarize your sample data using appropriate graphical displays and summary statistics.1. Provide at least one histogram of your sample data.1. In a table, provide summary statistics including sample size, mean, median, and standard deviation.1. Summarize your sample data, describing the center, spread, and shape in comparison to the national information.b. Check the assumptions.2. Determine if the normal condition has been met.2. Determine if there are any other conditions that should be checked on and whether they have been met.1. Hypothesis test calculations: Complete hypothesis test calculations, providing the appropriate statistics and graphs.c. Calculate the hypothesis statistics.1. Determine the appropriate test statistic (t).1. Determine the probability (p value).1. Interpretation: Interpret your hypothesis test results using the p value method to reject or not reject the null hypothesis.d. Relate the p value and significance level.d. Make the correct decision (reject or fail to reject).d. Provide a conclusion in the context of your hypothesis.1. Comparison of the test results: See Question 3 from the Scenario section.e. Calculate a 95% confidence interval. Show or describe your method of calculation.e. Interpret a 95% confidence interval.Final Conclusions1. Summarize your findings: Refer back to the Introduction section above and summarize your findings of the sample you selected.2. Discuss: Discuss whether you were surprised by the findings. Why or why not?

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?

Unit 7: DiscussionFord’s Trucks and SUVs Offer Greater Return on InvestmentBusiness FocusFord Motor Company plans to spend $7 billion to develop more trucks and sport-utility vehicles (SUVs). The company’s CEO, Jim Hackett, is making the sizable investment in response to a rapid shift in customer tastes away from sedans toward vehicles with greater space and utility. He also supported the cash outlay because trucks and SUVs earn higher margins than sedans.As you’ll learn in Chapter 11, return on investment (ROI) is a function of margin multiplied by turnover. In Ford’s case, its trucks and SUVs offer an attractive margin and turnover. Margin is calculated as net operating income divided by sales, whereas turnover is a function of sales divided by average operating assets. Hackett also plans to reduce materials and engineering costs across the company’s vehicle lineup by $14 billion over five years.Source: Mike Colias, “Ford Shifts $7 Billion to Trucks and SUVs,” The Wall Street Journal, October 4, 2017, p.B1.Source: Garrison, R., Noreen, E., & Brewer, P. (2021). Managerial accounting (17th ed.). New York, NY: McGraw-Hill Education.DirectionsInitial PostingFord Motor Company’s CEO Jim Hackett tied financial metrics to corporate strategy. This strategic initiative/move worked to Ford’s benefit. You can read about this on Ford’s website and learn how Hackett did this in previous positions which he occupied. You can begin reading about this at Ford Motors Strategic Analysis. (Links to an external site.)Please perform more scrutiny as to how and what Hackett did. Try to discover what metrics or financial ratios were used in Hackett’s strategic initiative at Ford or other companies in which he worked. He was a master at linking metrics with corporate strategy.Next, disclose your research findings in your initial post. Include supporting information from websites to examine and illustrate the linkage of financial metrics with corporate strategy. Then please respond to the following questions:1. How does Ford Motor Company routinely use financial metrics to drive changes in corporate strategy? Provide examples of collaborating information from corporate websites to support your response.2. Differentiate which financial ratios are commonly used for continuation of corporate strategy? Which ratios are specifically used for changes in corporate strategy? Is there any differentiation for continuation vs. changing strategies and reported ratios?