IE 3301 Project Instructions In this project, you will conduct real-world data analysis. Each project 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 this project is to analyze real-world data. The specific objectives are: 1. 2. 3. 4. To sample one set of data from the real-world. To summarize each set of data statistically. To perform statistical chi-square test on data. To describe the above steps, data, and results in a report. Data Collection: Students will collect one set of data from the real world. Data will be collected from a large number of observations (at least 100) for a continuous random variable from a population that is suspected to be normally distributed. Examples of such data include the body weight of people, the circumferences of oranges, the extension length of rubber bands at the point at which they burst, etc. Descriptive Statistics: Do the following: ● Calculate the sample mean. ● Calculate the sample standard deviation. ● Calculate the quartiles Q1, Q2, and Q3. ● Construct a histogram. 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 data 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. For the test, start with the data classes from your histogram and merge them to ensure each class has a sufficient number of observations. Then, calculate the following: ● Numbers of observations in the data. ● Class probability. ● Class expected value. ● Chi-square component values. Finally, calculate the chi-square value, describe the degrees of freedom, and explain your conclusion. Note that since you are using the sample means and standard deviations, you will need to adjust your degrees of freedom accordingly. Report: Submission of the report via Canvas Unicheck and written report due Tuesday, April 21st. 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 Center. Your report should include a cover page, three sections, and two appendices. On cover of your project 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 EchoSign and 11-point font, single-spaced. In Section 1, describe the data collection process with enough detail that the reader could replicate the process. In Section 2, include the descriptive statistics in a table and the histogram in a figure. In Section 3, describe the chi-square tests with clearly stated conclusions and tables for the calculated values. Appendices I and II should include tables of you the raw data.
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