00:01
All right, so we have a population distribution that has a mean equal to 50, and the standard deviation equal to 7.
00:09
So we're asked, what's the z score of a person who scores a 43 on the test? so z score is calculated using x minus mu over sigma.
00:19
So that would be 43 minus 50 over 7.
00:25
So that would give us negative 7 over 7 or negative 1.
00:33
So that's question three.
00:35
I don't know why that one doesn't have a letter.
00:37
Now we're on a, right? so given the distribution of scores, has a mean of five and a standard deviation of two.
00:47
What's the z score of a picture that receives a score of eight? so this is going to be the same exact thing, right? we're going to take z equals x minus mu over sigma.
00:56
So that is 3 over 2 or 1 .5.
01:00
For b, we have this mean of 85 and a standard deviation of 5, and joan scored a 35 on the questionnaire, and make it into a z score.
01:20
So that's going to be x, which is 35 minus mu over sigma.
01:32
So that's 35 minus 85 is negative 50 over 5 is negative 10, which is a gigantic z score, by the way.
01:43
You usually don't see z scores that big.
01:45
For c, which of the following z scores, is farther from the mean or closer to the mean...