00:01
So we're looking at a medical test that's normally distributed.
00:05
We have a mean of 120 and a standard deviation of 18, and we're looking for the percent of people with readings between 105 and 135.
00:13
So let's draw a little picture of what we're looking at.
00:17
So we have our normal curve.
00:24
We know this value here is our mean.
00:27
It equals 120.
00:29
We have a standard deviation of 18, and we're looking for the percent of people between 105 and 135.
00:37
So we're looking for this area right here.
00:43
So we're going to need to convert this to a z -score, and then figure out the area using a z -score table.
00:51
So remember z is equal to x minus x bar over the standard deviation.
01:01
So here this is equal to...
01:02
So first we'll do 135.
01:06
135 minus our mean, which is 120, divided by 18.
01:11
We should get this is equal to 0 .833.
01:18
So we can find that percentage on our z -score table.
01:24
So you look at 0 .8 and then 0 .3.
01:28
We should get this is equal to 0 .7967.
01:35
So that's our percentage...