00:01
All right, and your question, you're told populations of scores is normally distributed with a mean of 300 and a standard deviation of 50.
00:10
Then what proportion of scores will we expect to find between 295 and 305? so i'm told a normal distribution, and what i'm working on here would be basically figuring out the area.
00:25
That's the proportion of scores between 295 and 305.
00:31
All right, so the way i would approach this question, we want this area, and i would basically start by calculating a z value for this 295, a z score, which would be 295 minus 300 divided by our standard deviation of 50.
00:59
Okay, so z would be negative 5 over 50 or negative 1 tenth as a decimal.
01:10
Negative point one.
01:13
Now, i could take this to a z table, and what it'll tell me is the area to the left of that z value.
01:22
So let me go to a z table to do that.
01:25
Looking up a negative point one on a z table, negative 1 .0 would be 0 .4602.
01:37
So that is the area below, or the proportion below 295.
01:45
Now, you should notice that that was five away from the mean...