00:01
Hello, let's have a look on the question.
00:02
So in this case we will be using paired t test.
00:13
Here we have the data of before and after and d here is the difference between before and after values.
00:21
So now we are using paired t test.
00:25
First we need to find out mean difference.
00:30
Mean difference denoted by d bar is equal to.
00:34
We will add all the differences 20.
00:36
Plus 30 plus 25 divided by total number of differences divided by 3.
00:44
So this will be equal to 25.
00:46
So standard deviation sd of difference, this is equal to under root of 20 minus 25 whole square plus 30 minus 25 whole square plus 25 minus 25 whole square divided by 3 minus 25.
01:09
So this value will be equal to 5 and n here is equal to 3 so first step would be hypothesis so null hypothesis is mu d equal to 0 and alternative hypothesis is mu d not equal to 0 this implies we will be using two tail test so for this we need to find out test statistics so test statistics test statistics test statistics t will be equal to d bar minus mu of d divided by standard deviation divided by under root of n.
01:57
Now we have all the values.
01:59
25 minus 0 divided by 5 divided by under root of 3...