Deliverable 3 CBE – Confidence Intervals Competency Given a real-life application, develop a confidence interval for a population parameter and its interpretation.
Deliverable 3 CBE – Confidence IntervalsCompetencyGiven a real-life application, develop a confidence interval for a population parameter and its interpretation.InstructionsScenario (Information repeated for deliverable 01, 03, and 04)A major client of your company is interested in the salary distributions of jobs in the state of Minnesota that range from $30,000 to $200,000 per year. As a Business Analyst, your boss asks you to research and analyze the salary distributions. You are given a spreadsheet that contains the following information:â€¢ A listing of the jobs by title â€¢ The salary (in dollars) for each jobYou have previously explained some of the basic statistics to your client already, and he really liked your work. Now he wants you to analyze the confidence intervals.All problems are solved correctly.Complete and detailed steps are provided to explain how to solve the problem.Explanations demonstrate a mastery of understanding of the statistical concepts and terminology.All variables, equations, and expressions are properly formatted.Background information on the DataThe data set in the spreadsheet consists of 364 records that you will be analyzing from the Bureau of Labor Statistics. The data set contains a listing of several jobs titles with yearly salaries ranging from approximately $30,000 to $200,000 for the state of Minnesota.What to SubmitYour boss wants you to submit the spreadsheet with the completed calculations. Your research and analysis should be present within the answers provided on the worksheet.This is the worksheet that needed for this projectDeliverable 03 Worksheet1. Discuss the importance of constructing confidence intervals for the population mean by answering these questions.o What are confidence intervals?o What is a point estimate?o What is the best point estimate for the population mean? Explain.o Why do we need confidence intervals?Answer and Explanation: 2. Using the data from the Excel workbook, construct a 95% confidence interval for the population mean. Assume that your data is normally distributed and Ïƒ is unknown. Include a statement that correctly interprets the confidence interval in context of the scenario.Hint: Use the sample mean and sample standard deviation from Deliverable 1.Answer and Explanation: 3. Using the data from the Excel workbook, construct a 99% confidence interval for the population mean. Assume that your data is normally distributed and Ïƒ is unknown. Include a statement that correctly interprets the confidence interval in context of the scenario.Hint: Use the sample mean and sample standard deviation from Deliverable 1.Answer and Explanation: 4. Compare your answers for (2) and (3). You notice that the 99% confidence interval is wider. What is the advantage of using a wider confidence interval? Why would you not always use the 99% confidence interval? Explain with an example.Answer and Explanation: 5. We want to estimate the mean salary in Minnesota. How many jobs must be randomly selected for their respective mean salaries if we want 95% confidence that the sample mean is within $126 of the population mean and Ïƒ = $1150.Is the current sample size of 364 in the data set in our Excel workbook large enough? Explain.Answer and Explanation: