00:01
This question, they are given different mean and the standard division for each cases, and we have to decide which score indicates the highest relative position.
00:13
In order to get the relative position and to decide this one, we have to get the z score for each of them.
00:18
And remember, the z score has the formula, which is x minus me, over standard division.
00:23
Let's take a look at the first one here, the part a.
00:26
So the score here, x was given as 3 .1, and the sample mean, this is x bar, that was given as 4 .3, and the standard deviation for this sample, which was given as 1 .6 here.
00:41
Let's get the z score for this one here, which is 3 .1 and minus.
00:45
This is 4 .3 and divided by, this is 1 .6 here.
00:49
This is 3 .1 and minus and 4 .3, and this is divided by, which is 1 .6 .2 .5 .5.
00:56
Point six.
00:57
So the z score for this one, which is negative 0 .75.
01:02
What about b? so we're going to follow the same rule for this one...