00:02
Once again, welcome to new problem.
00:03
This time we're dealing with hypothesis testing.
00:12
So we're looking at hypothesis testing, and this has to do with hypothesis testing involving means.
00:19
And these means are independent.
00:24
So if you want to run a t test, it's going to be x by 1 minus x minus x bar 2, minus mu 1, minus mu 2.
00:34
This is the hypothesis main difference divided by the standard error, which is the variance of the first group over the sample size of the first group, and the variance of the second group over the sample size of the second group.
00:57
So we have two samples right here, sample one and sample two.
01:02
And then we also have variances.
01:07
So we have variance one and variance two.
01:12
And not forgetting the sample means.
01:16
Sample mean one and sample mean two.
01:29
We're given a problem and in this particular problem, we want to compare college, female college students versus their male counterparts.
01:38
It so happens that the sample for female students is 51 and this is a random sample.
01:47
The average hours of sleep for females is 7 .95 and the sample standard deviation for females is 1 .88 hours.
01:59
For males, we're given a sample of 41 and the sample mean sleep hours is 7 hours and the sample's standard deviation is 3 .06.
02:12
We have an alpha of 0 .05 and we want to determine if female college students sleep longer than their male counterparts.
02:25
So in essence we're looking for significance.
02:32
And the first thing we want to do is to determine the now and alternative hypothesis...