engineering probability project

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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.To sample one set of data from the real-world.

2.To summarize each set of data statistically.

3.To perform statistical chi-square test on data.

4.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.

“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