dat<-read.csv("http://www.matsuka.info/data_folder/datWA01.txt")
mean.M <-mean(dat$h[dat$gender=="M"])
sigma = 10
n.M = length(dat$h[dat$gender=="M"])
z.value=(mean.M-171)/(sqrt(sigma/n.M))
(1-pnorm(abs(z.value)))*2

ssize = c(24,25,26,23.5,25,27,24,22,27.5,28)
ssize.mean = mean(ssize)
ssize.var = var(ssize)
N = 10
t.value=(ssize.mean-24)/(sqrt(ssize.var/N))
(1-pt(abs(t.value),df=9))*2

h.mean.M <-mean(dat$h[dat$gender=="M"])
h.var.M <- var(dat$h[dat$gender=="M"])
n.M = length(dat$h[dat$gender=="M"])
t.value=(h.mean.M-171)/(sqrt(h.var.M/n.M))
(1-pt(abs(t.value),df = (n.M-1)))*2

# RCMD
A=c(12,19,10,10,14,18,15,11,16)
B=c(15,20,16,14,17,16,12,12,19)
d=A-B
tValue<-mean(d)/sqrt(var(d)/length(d))
(1-pt(abs(tValue), df=8))*2

t.test(d,mu=0)


X1=c(78,70,66,76,78,76,88,76)
X2=c(76,72,60,72,70,72,84,70)
t.value=(mean(X1)-mean(X2))/sqrt((var(X1)+var(X2))/8)
2*(1-pt(abs(t.value),14))