R version 2.8.0 (2008-10-20)
Copyright (C) 2008 The R Foundation for Statistical Computing
ISBN 3-900051-07-0

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> par5 = '0.35'
> par4 = '20'
> par3 = '21.1587301587302'
> par2 = '13'
> par1 = '63'
> #'GNU S' R Code compiled by R2WASP v. 1.0.44 ()
> #Author: Prof. Dr. P. Wessa
> #To cite this work: AUTHOR(S), (YEAR), YOUR SOFTWARE TITLE (vNUMBER) in Free Statistics Software (v$_version), Office for Research Development and Education, URL http://www.wessa.net/rwasp_YOURPAGE.wasp/
> #Source of accompanying publication: Office for Research, Development, and Education
> #Technical description: Write here your technical program description (don't use hard returns!)
> par1<-as.numeric(par1)
> par2<-as.numeric(par2)
> par3<-as.numeric(par3)
> par4<-as.numeric(par4)
> par5<-as.numeric(par5)
> c <- 'NA'
> csn <- abs(qnorm(par5))
> csn2 <- abs(qnorm(par5/2))
> if (par3 == par4)
+ {
+ conclusion <- 'Error: the null hypothesis and sample mean must not be equal.'
+ conclusion2 <- conclusion
+ } else {
+ cleft <- par3 - csn2 * sqrt(par2) / sqrt(par1)
+ cright <- par3 + csn2 * sqrt(par2) / sqrt(par1)
+ c2 <- paste('[',cleft)
+ c2 <- paste(c2,', ')
+ c2 <- paste(c2,cright)
+ c2 <- paste(c2,']')
+ if ((par4 < cleft) | (par4 > cright))
+ {
+ conclusion2 <- 'Reject the null hypothesis'
+ } else {
+ conclusion2 <- 'Do not reject the null hypothesis'
+ }
+ }
> if (par3 > par4)
+ {
+ c <- par4 + csn * sqrt(par2) / sqrt(par1)
+ if (par3 < c)
+ {
+ conclusion <- 'Do not reject the null hypothesis.'
+ } else {
+ conclusion <- 'Reject the null hypothesis.'
+ }
+ }
> if (par3 < par4)
+ {
+ c <- par4 - csn * sqrt(par2) / sqrt(par1)
+ if (par3 > c)
+ {
+ conclusion <- 'Do not reject the null hypothesis.'
+ } else {
+ conclusion <- 'Reject the null hypothesis.'
+ }
+ }
> c
[1] 20.17503
> conclusion
[1] "Reject the null hypothesis."
> 
> #Note: the /var/www/html/freestat/rcomp/createtable file can be downloaded at http://www.wessa.net/cretab
> load(file="/var/www/html/freestat/rcomp/createtable")
> 
> a<-table.start()
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/ht_mean_knownvar.htm','Testing Mean with known Variance','learn more about Statistical Hypothesis Testing about the Mean when the Variance is known'),2,TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'sample size',header=TRUE)
> a<-table.element(a,par1)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'population variance',header=TRUE)
> a<-table.element(a,par2)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'sample mean',header=TRUE)
> a<-table.element(a,par3)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'null hypothesis about mean',header=TRUE)
> a<-table.element(a,par4)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'type I error',header=TRUE)
> a<-table.element(a,par5)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,hyperlink('http://www.xycoon.com/ht_mean_knownvar.htm#overview','critical value (one-tailed)','about the critical value'),header=TRUE)
> a<-table.element(a,c)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'confidence interval (two-tailed)<br />(sample mean)',header=TRUE)
> a<-table.element(a,c2)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'conclusion for one-tailed test',2,header=TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,conclusion,2)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,'conclusion for two-tailed test',2,header=TRUE)
> a<-table.row.end(a)
> a<-table.row.start(a)
> a<-table.element(a,conclusion2,2)
> a<-table.row.end(a)
> a<-table.end(a)
> table.save(a,file="/var/www/html/freestat/rcomp/tmp/1z08i1289482516.tab") 
> 
> 
> 
> proc.time()
   user  system elapsed 
  0.340   0.022   0.353