this is the link for my question httptinypiccomr24o2cet8Solu

this is the link for my question

http://tinypic.com/r/24o2cet/8

Solution

Set Up Hypothesis
Null Hypothesis , There Is No-Significance between them Ho: u1 = u2
Alternate Hypothesis, There Is Significance between them - H1: u1 != u2
Test Statistic
X(Mean)=65
Standard Deviation(s.d1)=5 ; Number(n1)=21
Y(Mean)=120
Standard Deviation(s.d2)=10; Number(n2)=25
we use Test Statistic (t) = (X-Y)/Sqrt(s.d1^2/n1)+(s.d2^2/n2)
to =65-120/Sqrt((25/21)+(100/25))
to =-24.14
| to | =24.14
Critical Value
The Value of |t | with Min (n1-1, n2-1) i.e 20 d.f is 1.725
We got |to| = 24.14121 & | t | = 1.725
Make Decision
Hence Value of | to | > | t | and Here we Reject Ho
P-Value: Two Tailed ( double the one tail ) - Ha : ( P != -24.1412 ) = 0
Hence Value of P0.1 > 0,Here we Reject Ho