00:02
In this question, here we have given that n1 is equal to 8, x1 bar is equal to 8 .31, s1 is equal to 1 .07.
00:14
Here, n2 is equal to 8, x2 bar is equal to 2 .50, s2 is equal to 0 .96.
00:25
Here, we have part first in which hypothesis is h0, mu2 minus mu1 is equal to 0.
00:37
Here, h1 is mu2 minus mu1 is smaller than 0.
00:44
Here, the alpha is equal to 0 .05.
00:50
So here, we are calculating the variance s square p is equal to n1 minus 1 s1 square plus n2 minus 1 s2 square divided by n1 plus n2 minus 2.
01:11
Here, it is equal to 7 multiply 1 .07 square plus 7 multiply 0 .96 square divided by 14.
01:22
Here, sp square is equal to 1 .033.
01:27
This is the variance.
01:29
Now, we have to calculate the test statistic t is equal to x2 bar minus x1 bar minus mu2 minus mu1 divided by sp under root 1 upon n1 plus 1 upon n2.
01:49
Here, it's equal to 2 .50 minus 8 .31 divided by 1 .016 under root 1 upon 8 plus 1 upon 8...