Mathematics

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:

Problem2A) Ho and Ha?B) Mean for Denim, Twill, Canvas?C) Population Variance for Denim, Twill, Canvas?D) SSTR?E) SSE?F) SST?G) Degrees of Freedom?H)TREATMENT D.FI)ERROR DEGREES OF FREEDOM?J) TEST STAT?K)CRITICAL VALUE?L) conclusion?Please answer any possible question that could be come about this problem and show your work please.Also for the problem 1 answer any possible question that could become about this problem??

For this Assignment:Write a 1- to 2-page summary and include the following:Early in your Assignment, when you relate which dataset you analyzed, please include the mean of the following variables. If you are using the Afrobarometer Dataset, report the mean of Q1 (Age). If you are using the HS Long Survey Dataset, report the mean of X1SES.A description of what the each of the variables measure.A description of the unit of analysis.A description and explanation of the levels of measurement for each variable (i.e., nominal, ordinal, interval, ratio).Explain how you might conceive these variables to beused to answer a social change question. What might be the implications for social change?Support your summary using appropriate scholarly citatio

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.

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?

The slope of a regression line is the point where it crosses the X axis, while the intersect is the angle it forms with the X and Y axes.Question 8 options:TrueFalse

CompetencyIn this project, you will demonstrate your mastery of the following competency:Apply statistical techniques to address research problemsPerform hypothesis testing to address an authentic problemOverviewIn 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: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 andgraphs that show the national averages for housing prices and square footage. Your job is to analyze the data, complete the statistical analyses, and providea reportto 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?What to SubmitTo complete this project, you must submit the following:Project Two Template: Use this template to structure your report, and submit the finished version as a Word document.

Symmetries of Parallel Transported LinesConsider two lines, r and r’, that are parallel transports of each other along a third line, l. Consider now the geometric figure that is formed by the three lines and look for the symmetries of that geometric figure.What can you say about the lines r and rl Do they intersect? If so, where? Look at the plane, spheres, and hyperbolic planes.If a transversal cuts two lines at congruent angles, are the lines, in fact parallel in the sense of not intersecting?Suggestions can be found on the book.Problem 9.1, 9.2 and 10.1 Due date is March 6thProblem 9.1 Side-Side-Side (SSS)Are two triangles congruent if the two triangles have congruent corresponding sides?SuggestionsStart investigating SSS by making two triangles coincide as much as possible, and see what happens. For example, in Figure 9.2, if we line up one pair of corresponding sides of the triangles, we have two different orientations for the other pairs of sides as depicted in Figure 9.2. Of course, it is up to you to determine if each of these orientations is actually possible, and to prove or disprove SSS. Again, symmetry can be very useful here. 6n a sphere, SSS doesn’t work for all triangles. The counterexample in Figure 9.3 shows that no matter how small the sides of the triangle are, SSS does not hold because the three sides always determine two different triangles on a sphere. Thus, it is necessary to restrict the size of more than just the sides in order for SSS to hold on a sphere. Whatever argument you used for the plane should work for suitably defined small triangles on the sphere and all triangles on a hyperbolic plane. Make sure you see what it is in your argument that doesn’t work for large triangles on a sphere.

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?

Using matlab to do the “The Gradient Method” and “Newton’s Method”