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 analyze data, complete research and provide a write-up that includes calculations.   Introduction--Provide a description of the data you were provided and discuss what you know about the chosen topic.    Sample Data—Provide the 50 data values on your worksheet. You must provide ALL of your sample data.  Problem Computations—For the topic, 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.  Provide a sentence for each confidence interval created which explains what the confidence interval means in context of topic of your project.  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.  Explain how Part I of the project has helped you understand confidence intervals better?  How did this project help you understand statistics better?