Computational Intensive Stats: Project 02

Course Code: STA 6106 Period: Spring 2024
Instructor: Dr. Ping Sa
Textbook: Simulation, 6th Ed. by Sheldon M. Ross

The Course description and other information can be found among the following links:

• Degree Requirements: https://www.unf.edu/catalog/programs/gr/coas/COAS-MSAMATMAT1.html
• Course Catalogue: https://www.unf.edu/catalog/courses/?level=gr#
• Textbook: https://shop.elsevier.com/books/simulation/ross/978-0-323-85738-3

Assignment Statement

Problem Focus: How Much Did You Spend on Your Last Haircut?

Goal: Use this data to construct a bootstrap interval for the average number of dollars that a student at this college spends on a haircut.

• Use 500 bootstrap samples to construct the interval by the Percentile method.
• Use either the double bootstrap method or the bootstrap-t method to construct the confidence interval.
  • Use $\text{B}1 = 500$ and $\text{B}2 = 500$ to construct the interval by the dobule bootstrap method.
  • Use 500 bootstrap samples to construct the interval by the bootstrap-t method.
• Use $90%$ as the confidence level. Write a detailed report on how you get the bootstrap samples and find the confidence intervals.
• Compare the results based on the two methods.
• Type the report.

Context: We were given the following information in class:

• Data were collected from the class participants, with some generating more than one number due to the small class size. These are given below.
• We were told to draw randomly from an envelope to determine if our secondary bootstrap method would be the double bootstrap or the bootstrap-t method. I drew bootstrap-t.

Collected Data:

Student ID	Response (In Dollars)
1	0
2	65
3	25
4	0
5	25
6	35
7	50
8	36
9	44
10	170
11	87
12	96
13	100
14	65
15	48