xbar<-c(95.52,164.38,55.69,93.39,17.98,31.13)
s<-matrix(c(3266.46, 1343.97, 731.54, 1175.50, 162.68, 238.37, 1343.97, 721.91, 324.25, 537.35, 80.17, 117.73, 731.54, 324.25, 179.28, 281.17, 39.15, 56.8, 1175.50, 537.35, 281.17, 474.98, 63.73, 94.85, 162.68, 80.17, 39.15, 63.73, 9.95, 13.88, 238.37, 117.73, 56.80, 94.85, 13.88, 21.26),6,6,byrow=T)
# part(a)
n<-61
p<-6
c<-sqrt(p*(n-1)/n/(n-p)*qf(0.95,p,n-p))
for (i in 1:6) {
lower<-xbar-c*sqrt(s[i,i])
upper<-xbar+c*sqrt(s[i,i])
cat("(",lower,",",upper,")","\n")
}