Students will complete 3 parts to a project for the semester.  Each submission is individual and should not be shared with other classmates. Any form of copying and pasting from other sources and projects will be reported to the UT Arlington Office of Student Conduct.

Aim: The overall aim of these projects is to analyze real-world data.  The specific objectives are:

1. To sample two sets of data from the real-world.
2. To summarize each set of data statistically.
3. To perform statistical chi-square tests on each set of data.
4. To describe the above steps, data, and results in a report.

On the cover of each Project Part report, please transcribe the following statement:

“I _________________ did not give or receive any assistance on this project, and the report submitted is wholly my own.”

Write your name in the blank and sign below it. You may use an electronic signature, such as Adobe SignLinks to an external site..

Tasks for Part III

Chi-Square Goodness-of-Fit Test: Using a Chi-Square Goodness of Fit Test with a significance level of 0.05, test the hypothesis that Set 1 is sampled from a Normal Distribution with a population mean equal to the sample mean and a population standard deviation equal to the sample standard deviation. Similarly, test the hypothesis with a significance level of 0.05 that Set 2 is sampled from an Exponential Distribution with a population mean equal to the sample mean. For each test, start with the data classes from your histogram and merge them to ensure each class has a sufficient number of observations. Then, for each data class, calculate the following:

• Numbers of observations in the data.
• Class probability.
• Class expected value.
• Chi-square component values.

Finally, for each test, calculate the chi-square value, describe the degrees of freedom, and explain your conclusion.

EXAMPLE SETUP

Class

Observed Frequency (oi)

Class Probability

Expected Frequency (ei)

2 Class Component

X ≤ 2

Count observations based on your collected data.

Calculate using the assumed probability distribution.

For each class, take its probability and multiply by n.

2 < X ≤ 7

7 < X ≤ 12

X > 12

Total

n

1.0

n

2 statistic

Report: The project report is to be written in clear English with complete sentences. Be sure to define all notations and include descriptions of all tables and figures in the text.  To improve your writing, you should consider taking your report to the UTA Writing CenterLinks to an external site.. Your report should include a cover page and the following sections mentioned in rub