00:01
Hello students we need to write here a study being done on college students found that the mean amount of sleep that the college student receive right is given and standard aviation is given we need to write suppose random sample is given we need to find the probability that mean amount of the sleep will be between these values so let's start with our answering part we need to write here this is normal distribution and if i write here for this in the normal distribution if i write here all the random variable are distributed amongst bell shaped curve.
00:35
So basically if i write here for this, all the random variables are distributed amongst bell shaped curve.
00:43
So this is jr, this is minus z, this is probability of pz.
00:47
So right -inside area is 0 .5, left -hand -side area is 0 .5.
00:51
So it means that if i write here for this area, symmetric about y -axis.
00:56
So let's start with our answering part.
00:57
If i write here for this, our z score attribute is x minus mu divided by sigma, if i write here for this.
01:08
So this must be z1 and this is 6 .5 minus mu.
01:13
So mu value is.
01:14
So let's say this is under root of 40.
01:17
It means that sample size is given.
01:19
It means that we need to convert this mu values into mu x mean sample mean.
01:24
And this must be sample standard deviation, which can...