Practical_O

We use the following packages:

library(plyr)
library(dplyr)
library(magrittr)
library(ggplot2)

Exercise

Sample 100 samples from a standard normal distribution.
For each of these samples, calculate the following statistics for the mean:

absolute bias
standard error
lower bound of the 95% confidence interval
upper bound of the 95% confidence interval
a logical indicator, denoting TRUE when the population parameter is in the interval

Create a plot that demonstrates the following

“A replication of the procedure that generates a 95% confidence interval that is centered around the sample mean would cover the population value at least 95 out of 100 times” (Neyman, 1934)
Present a table containing all simulated samples for which the resulting confidence interval does not contain the population value.

End of Practical