Using R Studio, Generate a standard normal random. using rnorm() Check whether this number is >1.96...
Using R Studio,
Generate a standard normal random. using rnorm()
Check whether this number is >1.96 or <-1.96.
Replicate this 1000 times and count the number of observations that are greater than 1.96 or less than -1.96.
Calculate the ratio of this number to the the number of replications and see whether this is close to 0.05.
HINT:
num <- 0
for (i in 1 : 1000) {
a <-
}
num/1000
Homework Answers
To generate standard normal variable
rnorm(1,0,1)
[1] -0.5811594
The number is not >1.96 or <-1.96
Replication
num <- 0
for (i in 1 : 1000) {
a=rnorm(1,0,1)
if(a>1.96||a<(-1.96))
{num=num+1}
}
num
[1] 53
There are 53 observations <-1.96 or
> 1.96
Required ratio
num/1000
[1] 0.053
The number is close to 0.05
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