Homework 4 of Stata programming-II

Wei Lin

Instructions:

1. First, we’ll Initialize the dataset with 30 observations.
2. Second, we’ll generate two variables about age, one is under normal distribution and the other under t distribution.
3. Last, we’ll plot a histogram for visulization.

. clear

. set obs 30

. gen age = (rnormal() * 15) + 57

. gen age_t=(rt(_N)*15)+57

. hist age, ///
>    fcolor(orange%40) /// simulated normal 
>    addplot(hist age_t, fcolor(midblue%60)) /// simulated t-distribution 
>    normal /// theoretical normal
>    legend(on ///
>       lab(1 "Sampled from Normal") ///
>           lab(2 "Theoretical Normal") ///
>           lab(3 "Sampled from t-distribution") ///
>           )

$Distribution of Age$

Distribution of $\text{Age, years} \sim \mathcal{N}(\mu=57,,\sigma^{2}=225)$

The results are based on simulated data