Explain mathematically why that takes place.

The project is broken into two parts. You will complete Part I in Week 6 and Part II in Week 7. In Week 6, Confidence Intervals will be explored and in Week 7 Hypothesis testing will be explored. A confidence interval is a defined range of values such that there is a specified probability that the value of a parameter lies within the interval. In Part I of this project, you will pick a topic, complete research and provide a write-up that includes calculations. Round all values to two decimal places when appropriate. Write at least a 1-Page ReportOpen a Word DocumentIntroduction–Provide a description of your topic and cite where you found your data.Sample Data—Include a 5×10 table including your 50 values in your report. You must provide ALL of your sample data.Problem Computations—For the topic you chose, you must answer the following:Determine the mean and standard deviation of your sample.Find the 80%, 95%, and 99% confidence intervals.Make sure to list the margin of error for the 80%, 95%, and 99% confidence interval.Create your own confidence interval (you cannot use 80%, 95%, and 99%) and make sure to show your work. Make sure to list the margin of error.Problem Analysis—Write a half-page reflection.What trend do you see takes place to the confidence interval as the confidence level rises? Explain mathematically why that takes place.Provide a sentence for each confidence interval created in part c) which explains what the confidence interval means in context of topic of your project.Explain how Part I of the project has helped you understand confidence intervals better?How did this project help you understand statistics better?Required SoftwareMicrosoft Office: Word and Excel