If two independent random samples

x_(1),x_(2),dots,x_(n1)

and

Y_(1),Y_(2),dots,Y_(n2)

are drawn from two normal populations with means

\\\\mu _(1)

and

\\\\mu _(2)

and unknown standard deviations

\\\\sigma _(1)

and

\\\\sigma _(2)

respectively, then

P

- value of test statistics used for testing

H_(0):\\\\mu _(1)=\\\\mu _(2)

and

H_(1):\\\\mu _(1)!=\\\\mu _(2)

, with assumption

\\\\sigma _(1)=\\\\sigma _(2)=\\\\sigma

, is:\

P(|T|>((\\\\bar{x} )-(/bar (Y)))/(\\\\sqrt((s_(p)^(2))/(n_(1))+(s_(p)^(2))/(n_(2)))))\ P(T

If two independent random samples X1,X2,,Xn1 and Y1,Y2,,Yn2 are drawn from two normal populations with means 1 and 2 and unknown standard deviations 1 and 2 respectively then P - value of test statistics used for testing H0:1=2 and H1:1=2, with assumption 1=2=, is: PT>n1sp2+n2sp2XYPT<1sp2>