00:01
Hello, let's have a look on the question.
00:01
So we calculated these two values using excel.
00:04
The data was given to us.
00:05
We can easily find out the summation of d -i and d -i -minus d -b.
00:09
Now we need to find out the mean difference, md.
00:12
Mean difference is given by summation of d -i divided by n.
00:16
So this will be equal to minus of 139 .06.
00:20
This is negative value divided by n, that is 25.
00:25
So the mean difference will be equal to minus of 5 .56, 2 .5.
00:30
4 this is the value of m d next we need to find out the standard deviation of main difference and we will be using the formula this standard deviation of main difference is equal to under root of summation of di minus d bar whole square divided by 1 upon and this is n minus 1 so when we put the value we will get this is equal to under root of 1 1 1 117 .154 divided by 1 1 1 7 0 .154 divided by it since n is 25 so this will be equal to 24.
01:05
So this value is equal to approximately equal to 6 .982578 or we can write it as or we can round off the value that is 6 .98.
01:21
Next we need to find out the t critical value.
01:24
The level of significance here is 0 .05 alpha is equal to 0 .05 and degree of freedom is equal to 24 that is n minus one.
01:33
So we can find out the value of t, that is, t of 0 .5, and 24, this is critical value, will be equal to 2 .063899...