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Student T distribution is a widely used statistic distribution in the financial

ID: 3304987 • Letter: S

Question

Student T distribution is a widely used statistic distribution in the financial analysis industry. Very often, we get a sample of data set, and need to decide whether the data sample is following Student T distribution or not. In this project, you will be asked to develop two programs. The first program is used to generate a data sample that follows Student T distribution. The second program is used to verify the data sample generated by the first program is indeed following Student T distribution.

1. Programs need to be generated through R Studio.
2. You also need to write a report to explain how your code is designed and what tests you have done to verify the code is correct. Submitting only source code without a report will not be accepted

PLEASE include the code and make it as simple as possible. Thanks!

Explanation / Answer

1. R codes :

for(i in 0:99)

{

x=rnorm(500, 0, 1)

tt[i] = 500 * (mean(x)) / sd(x)

}

tt #sample from student's t-distribution

2. t.test(tt, 499)