The Standard Normal Curve (Z)
mean 0 and SD 1. Short: N(0,1)
The General Normal Curve (X)
any mean and SD.
It is denoted by N(mean, SD^2)
lower tail area
pnorm( x, lower.tail = T)
upper tail area
pnorm( x, lower.tail = F)
pnorm
pnorm( x, mean, sd)
68%-95%-99.7% Rule
All Normal curves satisfy this rule
* The area 1 SD out from the mean in both directions is 0.68
* The area 2 SDs out from the mean in both directions is 0.95
* The area 3 SDs out from the mean in both directions is 0.997
Any General Normal can be rescaled into a Standard Normal.
True
The normal curve is symmetric.
True
Without reproducible research…
Data versions can change
Graphical summaries can change