00:01
All right, so we have a math teacher giving two different tests to measure students ' aptitude.
00:07
And both scores are normal.
00:11
Both tests are normally distributed with the scores.
00:14
And we want to determine a student scores of 28 on the first test, what would the equivalent score be on the second test? so because they're normally distributed, we can use a z score here.
00:23
So z is going to be the x value minus the mean divided by the standard deviation.
00:29
Now, that's going to standardize the score.
00:31
So any other score that i have that's normally distributed, i can convert my z score back to a score in that second test.
00:39
So we'll find the z score for the first test by just plugging in the numbers.
00:44
28 is the score the student got minus the mean of the first test of 20, divided by the standard deviation 5 .3...