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Project Part III
12/1/2024

45 Points Possible

In Progress
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Details

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
Sign ( .

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 (o )

Class Probability
Expected
Frequency (e )

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 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 Center ( . Your report
should include a cover page and the following sections mentioned in rubric

i i

2

2

View Rubric

IE3301 Part III Rubric (1)

Criteria Ratings Pts

Report Organization

3 pts
Full Marks
Report is logically organized and
reasoning is easy to follow. All
elements are present. Document
is neat and well laid out.
Appearance aids understanding

0 pts
No Marks

/ 3 pts

Chi-Square
Goodness of Fit
Test
view longer description

19 pts
Full Marks
Explain in a sentence about your
data, and in detail about Normal
Distribution parameters, degrees
of freedom, formulas, all the
calculations for table and to do
the Hypothesis testing, Clearly

0 pts
No Marks

/ 19 pts

IE3301 Part III Rubric (1)

Criteria Ratings Pts

identify the number of classes,
probabilities, expected
frequencies, and any information
as mentioned in class. Show
specific examples of the
calculations. Conclude based on
Hypothesis testing and your
conclusion based on the result
from Part II.

Chi-Square
Goodness of Fit
Test
view longer description

19 pts
Full Marks
Explain in a sentence about your
data, and in detail about
Exponential parameters, degrees
of freedom, formulas, all the
calculations for table and to do
the Hypothesis testing, Clearly
identify the number of classes,
probabilities, expected
frequencies, and any information
as mentioned in class. Show
specific examples of the
calculations. Conclude based on
Hypothesis testing and your
conclusion based on the result
from Part II.

0 pts
No Marks

/ 19 pts

Appendix

4 pts
Full Marks
Excel formulas for your table
calculations for Normal
Distribution and Exponential
Distribution.

0 pts
No Marks

/ 4 pts

Late Penalty
0 pts
Full Marks
-5 for each day late

0 pts
No Marks / 0 pts

Incorrect Format

0 pts
Full Marks
-1 Missing academic honesty
statement -1 Missing/Incorrect
Signature

0 pts
No Marks

/ 0 pts

Total Points: 0

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