I am trying to recreate the following plot with R. Minitab describes this as a normal probability plot.
Perhaps this will be something you can build on. By default, stat_smooth() uses level=0.95.
df <- data.frame(sort(x), ppoints(x))
colnames(df) <- c("x","y")
ggplot(df, aes(x,y)) +
geom_point() +
stat_smooth() +
scale_y_continuous(limits=c(0,1),breaks=seq(from=0.05,to=1,by=0.05), formatter="percent")