. . * Program to draw 1 sample of size 30 from uniform /// > and return sample mean . program onesample, rclass 1. version 11 2. drop _all 3. quietly set obs 30 4. generate x = runiform() 5. summarize x 6. return scalar meanforonesample = r(mean) 7. end
. . * Run program onesample once as a check . set seed 10101
. onesample
Variable | Obs Mean Std. Dev. Min Max -------------+-------------------------------------------------------- x | 30 .5459987 .2803788 .0524637 .9983786
. return list
scalars: r(meanforonesample) = .5459987225631873
. . * Run program onesample 10,000 times to get 10,000 sample means . simulate xbar = r(meanforonesample), seed(10101) /// > reps(10000) nodots: onesample
command: onesample xbar: r(meanforonesample)
. . * Summarize the 10,000 sample means and draw histogram . summarize xbar
Variable | Obs Mean Std. Dev. Min Max -------------+-------------------------------------------------------- xbar | 10000 .4995835 .0533809 .3008736 .6990562
. histogram xbar, normal xtitle("xbar from many samples") (bin=40, start=.30087364, width=.00995456)
. . quietly graph export mus04fig1clt2.pdf, replace
.