00:01
Hello students, according to the given question we have to find out the confidence interval.
00:06
So it was given n1 is equal to 16, n2 is equal to 8 and x1 bar is equal to 145, x2 bar is equal to 178 and s1 is equal to 24 and s2 is equal to 30.
00:24
Here confidence level is 99 % from this alpha is equal to 0 .01 and degrees of freedom is n1 plus n2 minus 2 which is equal to 24 minus 2 that is 22.
00:40
So t critical value is 2 .8188.
00:44
So now we calculate the pooled standard deviation sp is equal to square root of n1 minus 1 into s1 square plus n2 minus 1 into s2 square by n1 plus n2 minus 2.
01:00
So according to above data by substituting we get 26 .0594.
01:07
Now in step 1 we have to find out the point estimate.
01:13
So the point estimate will be equal to the formula x1 bar minus x2 bar.
01:23
This is the point estimate.
01:25
By substituting we get 145 minus 178.
01:31
So which is equal to the value minus 33.
01:34
This is the point estimate value...