00:01
To begin this problem, we need to make this table in which, well, the first column is just for identification, half the document.
00:09
And the second column is the difference between the time for both of them.
00:14
So, for example, this one, we have for document one, brand a had 17, brand b had 21.
00:20
So 17 minus 21 is negative 4.
00:23
Then we had 29 minus 38, so minus 9.
00:27
Then 18 minus 15 is positive 3.
00:30
So the brand a minus brand b.
00:34
Then we need to find the mean of this difference.
00:37
So the mean, we have to remember, we just need to add all of this numbers.
00:41
So minus 4, minus 9, plus 3, minus 5, and so on until we reach to the last one, which is negative 8, and divided by negative 8.
00:53
We put this into our calculators, and we find that the mean, is equal to negative 4 .75.
01:01
Then now that we have the mean, we also need the standard deviation.
01:05
We can't do hypothesis testing without the standard deviation.
01:09
The standard deviation is equal to, well, it's a big square root.
01:14
So it is the square root of each one of this individual values.
01:17
So negative 4 minus minus the mean.
01:21
So is each of them minus the mean.
01:23
But the mean already includes a negative.
01:26
So technically we're doing minus.
01:27
Minus 4 minus minus 4 .75.
01:32
But a minus and a minus turns into positive.
01:35
So this is negative 4 plus 4 .75.
01:39
And then we square it.
01:40
We do it for the next one.
01:42
Negative 9 plus 4 .75.
01:47
Then we square it.
01:48
Next one.
01:49
We have 3 minus minus.
01:52
So it turns into positive again, 4 .75...