00:01
In this problem, we are given that there is a random variable x that's representing the values in the population, and this is normally distributed, such that the main of the distribution, this is 72 .7.
00:15
And the standard division of the distribution, well, this is given to us as 9 .3.
00:22
And we have different values of the ras scores, which is represented by x, and we have to get the z -scores.
00:31
Corresponding to each raw score.
00:33
So in the first part, we have the raw score equal to 90.
00:36
And to get the z score, we simply use this formula and put the values.
00:41
So doing that, we will get the z score as 90 minus 72 .7 divided by 9 .3.
00:48
So this simplifies to 1 .86 approximately.
00:52
And in the next part, we have the value of the raw score equal to 80.
00:56
And the z score corresponding to this, it will be 80 minus 72...