This is a Statistic project

Use your data set from Part 2 of the Project and your summary statistics from Part 3, to answer the following questions. Put your results in a semi-professional looking report. Make sure to include your name, date, title, page numbers, etc.

Your goal for this project is to pick one of your quantitative variables (the one that you would be most interested in predicting) and answer the following questions using your data to ultimately create and interpret a confidence interval for the population mean.

Make sure to read any comments/feedback I provided on Projects Parts 1, 2, and 3, this way you do not repeat previous mistakes.

If there were any invalid responses in your data, you will want to eliminate these responses from your sample and mention that this was done in the intro or conclusion of your paper.

Part 1: Introduction (3 points)

Provide a short introduction to the project. Specifically, briefly describe the sample, your variable (including the units of measurement), the target population, and what you will analyze in the project.

Part 2: CI for (20 points5 points for each item below)

1. List the summary statistics for your QN variable of interest (i.e. sample average, sample standard deviation, sample size, and anything else you would like to include) for your quantitative variable (make sure to include your units of measurement). Note: This is mostly a repeat of part of Project Part 3.
2. Create a 95% CI for the true mean of your quantitative variable. (Note: you do not need to show your work).
3. Practically interpret this confidence interval.
4. Theoretically interpret the phrase "95% confident."

Part 3: Conclusion (2 points)

Provide a short conclusion. Your conclusion may include assumptions made, potential problems with the analysis, what you learned, or anything else you want to say to tie the results together neatly.

Example:

Introduction:

In this project, we will use a sample of 58 HCC SouthShore students to predict the shoe size (US) of all HCC students.

Summary Statistics:

Column	n	Mean	Variance	Std. dev.	Std. err.	Median	Min	Max	Q1	Q3
Shoe Size	58	8.2586207	7.3091349	2.7035412	0.35499235	8	2.5	13	6.5	10.5

Confidence Interval:

The 95% confidence interval for is (7.6, 9.0).

Practical Interpretation:

We are 95% confident that the true mean shoe size for all HCC students is between 7.6 and 9.0 US.

Theoretical Interpretation:

In repeated sampling, 95% of similarly constructed confidence will capture , and 5% will miss.

Conclusion:

While we successfully created a confidence interval that predicts the shoe size of all HCC students, there were some issues discovered in the survey design and student selection that could cause biased results. Only students in two statistics classes at the SouthShore campus were analyzed, and these students might be not representative of the entire student body at HCC. In addition, some female students reported their shoe size in US female shoe sizes, while others reported their shoe size as children or male shoe sizes.