Write a letter, as the mathematician, to the prospective employer indicating how "your" knowledge, skills, and experience make you the best candidate for the job. Your letter should be at least 300 words and relate to the Learning Outcomes of this course. Use the Hunt Library resources to research a mathematician's background. Be sure to relate your mathematician to the Learning Outcomes to get started, use the Mathematicians & Their History Research Guide (Links to an external site.)https://famous-mathematicians.com/edward-witten/LEARNING OUTCOMES:-Use the basic properties of the real number system to perform algebraic operations including factoring, operations with fractions, exponents, and radicals.-Graph linear, quadratic, polynomial, and rational functions by using standard forms, symmetry, intercepts, asymptotes, and vertical and horizontal shifts.-Solve linear, quadratic, absolute value, rational, exponential, and logarithmic equations Transpose formulas and solve verbal problems that require the use of these types of equations.-Solve linear inequalities and identify their solutions by using interval notation and graphs.-Use the distance, midpoint, point-slope-intercept formulas to solve problems involving line and line segments.-Solve verbal problems involving direct, inverse and joint variation.-Define function, domain, and range; and identify examples of each.-Graph exponential and logarithmic functions and solve word problems dealing with thesefunctions.-Convert radians to degrees, degrees to radians and solve arc length problems using radians.-Define the six trigonometric functions and the fundamental trigonometric identities, and use them to find the values of various trigonometric functions.-Use the six trigonometric functions to solve right triangle problems, resolve vectors into rectangular components, and solve force and displacement problems using vectors.-Solve word problems by using linear systems of two equations.-Solve oblique triangle problems using the law of sines and the law of cosines.Think about today's job market and how your mathematician would fit in the working world.Identify a current job opening that would best utilize your selected mathematician's knowledge and skills. Use sources such as Indeed (Links to an external site.)Links to an external site. or Monster (Links to an external site.)Links to an external site. to find job postings. Save the posted job description in a document.APA please cite all work

A. Welcome to the final project. Introduce your scenario and data set.Provide a brief overview of the scenario you are given above and the data set that you will be analyzing.Classify the variables in your data set.Which variables are quantitative/qualitative?Which variables are discrete/continuous?Describe the level of measurement for each variable included in your data set.Discuss the importance of the Measures of Center and the Measures of Variation.What are the measures of center and why are they important?What are the measures of variation and why are they important?Calculate the measures of center and measures of variation. Interpret your results in context of the selected topic.MeanMedianModeMidrangeRangeVarianceStandard DeviationDiscuss the importance of constructing confidence intervals for the population mean.What are confidence intervals?What is a point estimate?What is the best point estimate for the population mean? Explain.Why do we need confidence intervals?Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.Construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.Write a statement that correctly interprets the confidence interval in context of your selected topic.Based on your selected topic, evaluate the following:Find the best point estimate of the population mean.Construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and σ is unknown.Please show your work for the construction of this confidence interval and be sure to use the Equation Editor to format your equations.Write a statement that correctly interprets the confidence interval in context of your selected topic.Compare and contrast your findings for the 95% and 99% confidence interval.Did you notice any changes in your interval estimate? Explain.What conclusion(s) can be drawn about your interval estimates when the confidence level is increased? Explain.Discuss the process for hypothesis testing.Discuss the 8 steps of hypothesis testing?When performing the 8 steps for hypothesis testing, which method do you prefer; P-Value method or Critical Value method? Why?Perform the hypothesis test.If you selected Option 1:Original Claim: The average salary for all jobs in Georgia is less than $65,000.Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.If you selected Option 2:Original Claim: The average age of all patients admitted to the hospital with infectious diseases is less than 65 years of age.Test the claim using α = 0.05 and assume your data is normally distributed and σ is unknown.Based on your selected topic, answer the following:Write the null and alternative hypothesis symbolically and identify which hypothesis is the claim.Is the test two-tailed, left-tailed, or right-tailed? Explain.Which test statistic will you use for your hypothesis test; z-test or t-test? Explain.What is the value of the test-statistic? What is the P-value?What is the critical value?What is your decision; reject the null or do not reject the null?Explain why you made your decision including the results for your p-value and the critical value.State the final conclusion in non-technical terms.ConclusionRecap your ideas by summarizing the information presented in context of your chosen scenario.Option 1Data set for option 1Option 2Data set for option 2B. this last discussion forum, I'd like for you to reflect on the course as a whole. What did you like? What did you not like? What did we need to spend more time on in class? What could've been relegated to doing outside of classes or skipped entirely?Please feel free to be open on this, because any feedback you provide can be used to better improve future course sessions!