Nothing
interval_estimate1<-function(x,sigma=-1,alpha=0.05){
n<-length(x); xb<-mean(x)
if (sigma>=0){
tmp<-sigma/sqrt(n)*qnorm(1-alpha/2); df<-n
}
else{
tmp<-sd(x)/sqrt(n)*qt(1-alpha/2,n-1); df<-n-1
}
data.frame(mean=xb, df=df, a=xb-tmp, b=xb+tmp)
}
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