library(openintro)
## Warning: package 'openintro' was built under R version 4.2.3
## Loading required package: airports
## Warning: package 'airports' was built under R version 4.2.3
## Loading required package: cherryblossom
## Warning: package 'cherryblossom' was built under R version 4.2.3
## Loading required package: usdata
## Warning: package 'usdata' was built under R version 4.2.3
yrbss
## # A tibble: 13,583 × 13
## age gender grade hispanic race height weight helme…¹ text_…² physi…³
## <int> <chr> <chr> <chr> <chr> <dbl> <dbl> <chr> <chr> <int>
## 1 14 female 9 not Black or A… NA NA never 0 4
## 2 14 female 9 not Black or A… NA NA never <NA> 2
## 3 15 female 9 hispanic Native Haw… 1.73 84.4 never 30 7
## 4 15 female 9 not Black or A… 1.6 55.8 never 0 0
## 5 15 female 9 not Black or A… 1.5 46.7 did no… did no… 2
## 6 15 female 9 not Black or A… 1.57 67.1 did no… did no… 1
## 7 15 female 9 not Black or A… 1.65 132. did no… <NA> 4
## 8 14 male 9 not Black or A… 1.88 71.2 never <NA> 4
## 9 15 male 9 not Black or A… 1.75 63.5 never <NA> 5
## 10 15 male 10 not Black or A… 1.37 97.1 did no… <NA> 0
## # … with 13,573 more rows, 3 more variables: hours_tv_per_school_day <chr>,
## # strength_training_7d <int>, school_night_hours_sleep <chr>, and abbreviated
## # variable names ¹helmet_12m, ²text_while_driving_30d, ³physically_active_7d
set.seed(100)
n=1000
sample_means = rep(NA, n)
for(i in 1:n){
sample_means[i] = mean(rnorm(100, mean=3.75, sd=9))
}
head(sample_means)
## [1] 3.776213 3.850268 3.865138 3.000791 2.565257 4.866502
hist(sample_means, main = "", xlab = "Sample Means", col = "steelblue")

mean(sample_means)
## [1] 3.764052
sd(sample_means)
## [1] 0.8833878