# Re: [R] {10,20,30}>={25,30,15}

From: francogrex <francogrex_at_mail.com>
Date: Fri, 18 May 2007 12:15:02 -0700 (PDT)

At the alpha level you set, A is neither greater nor less than B. Supposing you don't use paired t.test:
data: c(10, 20, 30) and c(25, 30, 15)
t = -0.4588, df = 3.741, p-value = 0.6717 alternative hypothesis: true difference in means is not equal to 0 95 percent confidence interval:
-24.06675 17.40008
sample estimates:
mean of x mean of y
20.00000 23.33333

it tells you what is the null and what is the alternative.

genomenet wrote:
>
> Hi There,
> Using t.test to test hypothesis about which one is greater, A or B?
> where A={10,20,30},B={25,30,15}.
> My question is which of the following conclusions is right?
> #################hypothesis testing 1
> h0: A greater than or equal to B
> h1: A less than B
> below is splus code
> A=c(10,20,30)
> B=c(25,30,15)
> t.test(c(10,20,30),c(25,30,15),alternative="less")
> output:
> p-value=0.3359
> because p-value is not less than alpha (0.05), we
> cannot reject h0.
> so A greater than or equal to B.
> #################hypothesis testing 2
> h0: A less than or equal to B
> h1: A greater than B
> below is splus code
> A=c(10,20,30)
> B=c(25,30,15)
> t.test(c(10,20,30),c(25,30,15),alternative="greater")
> output:
> p-value=0.6641
> because p-value is not less than alpha (0.05), we
> cannot reject h0.
> so A less than or euqal to B.
> #########################################
> Thank you very much.
> Van
>

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