Math paper on either application of differentiation or the application of integration with two worked out examples. 500 words needed. Paper on application of differentiation or the application of integration. You should have two worked-out examples. For example, Maximize a profit function or Minimize a cost function or maximize a revenue function. These are applications of the derivative. Application of integration: find the average value of a function, find the volume of a solid of revolution, etc. You may choose other applications; it is up to you. I just stated some examples. In your project, first, you introduce the concept and describe it, then you will do the examples, that is, the application of the concept. Your paper should also have references. Your project should be typed.

Scenario You have been hired by the Regional Real Estate Company to help them analyze real estate data. One of the company’s Pacific region salespeople just returned to the office with a newly designed advertisement. It states that the average cost per square foot of his home sales is above the average cost per square foot in the Pacific region. He wants you to make sure he can make that statement before approving the use of the advertisement. The average cost per square foot of his home sales is $275. In order to test his claim, you collect a sample of 1,001 home sales for the Pacific region. Prompt Design a hypothesis test and interpret the results using significance level ? = .05. Use the House Listing Price by Region document to help support your work on this assignment. You may also use the Descriptive Statistics in Excel and Creating Histograms in Excel tutorials for support. Specifically, you must address the following rubric criteria, using the Module Five Assignment Template. Setup: Define your population parameter, including hypothesis statements, and specify the appropriate test. Define your population parameter. Write the null and alternative hypotheses. Note: Remember, the salesperson believes that his sales are higher. Specify the name of the test you will use. Identify whether it is a left-tailed, right-tailed, or two-tailed test. Identify your significance level. Data Analysis Preparations: Describe sample summary statistics, provide a histogram and summary, check assumptions, and find the test statistic and significance level. Provide the descriptive statistics (sample size, mean, median, and standard deviation). Provide a histogram of your sample. Describe your sample by writing a sentence describing the shape, center, and spread of your sample. Determine whether the conditions to perform your identified test have been met. Calculations: Calculate the p value, describe the p value and test statistic in regard to the normal curve graph, discuss how the p value relates to the significance level, and compare the p value to the significance level to reject or fail to reject the null hypothesis. Determine the appropriate test statistic, then calculate the test statistic. Note: This calculation is (mean – target)/standard error. In this case, the mean is your regional mean (Pacific), and the target is 275. Calculate the p value. Note: For right-tailed, use the T.DIST.RT function in Excel, left-tailed is the T.DIST function, and two-tailed is the T.DIST.2T function. The degree of freedom is calculated by subtracting 1 from your sample size. Choose your test from the following: =T.DIST.RT([test statistic], [degree of freedom]) =T.DIST([test statistic], [degree of freedom], 1) =T.DIST.2T([test statistic], [degree of freedom]) Using the normal curve graph as a reference, describe where the p value and test statistic would be placed. Test Decision: Discuss the relationship between the p value and the significance level, including a comparison between the two, and decide to reject or fail to reject the null hypothesis. Discuss how the p value relates to the significance level. Compare the p value and significance level, and make a decision to reject or fail to reject the null hypothesis. Conclusion: Discuss how your test relates to the hypothesis and discuss the statistical significance. Explain in one paragraph how your test decision relates to your hypothesis and whether your conclusions are statistically significant.

Directions:1. Solve the following problems. Hand write or type your solutions and explanations on your own paper. 2. Show your work AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem.3. You must write your name on the top right of the paper you turn in.4. You must write the title of this problem set on the top of your paper.Formulae for Statistics