Bonus Group Project $5$

Stat $2122-$ Intro. to Probability & Statistics

Section $080,$ Summer $2024$ Name$($s$)$: Points: $/2$

Due: Wednesday, $06/26/2024$

A maximum of $2$ students are allowed in a group! Do NOT copy between groups!

$1.$ Task I $(1$ pt$)$: Validation of the Central Limit Theorem $($CLT$)$

In this task, you are asked to reproduce all figures on Pages $18-26$ of the $5\mathrm{.}4$ lecture note. The sample code

validate$\_$CLT$\_$Lab.py is to produce the figures on Page $24.$ Your code should include a loop over the five

populations and a loop over the three sample sizes $(10,30,50)$ so that a single run of your code will generate

all $20$ figures on Pages $18-26.$

Please name your code as P$5\_$T$1.$py$.$

$2.$ Task II $(1$ pt$)$: Validation of large$-$sample confidence intervals

In this task, you are asked to reproduce all figures on Pages $8-12$ of the $7\mathrm{.}2$ lecture note. The sample code

validate$\_$large$\_$sample$\_$CI$\_$Lab.py is to produce the figures on Page $10.$ Your code should include a loop

over the five populations and a loop over the three sample sizes $(10,30,50)$ so that a single run of your code

will generate all $20$ figures on Pages $8-12.$

Please name your code as P$5\_$T$2.$py$.$

$3.$ What to submit for the bonus points

This assignment with the completed table $($No point without the accompanying code$)$

P$5\_$T$1.$py

P$5\_$T$2.$py

$4.$ How to submit?

$($a$)$ Online through Canvas

$($b$)$ Each group submits only once.

$1$