00:01
The following is a solution to the problem involving the sorority students versus unaffiliated students, and we're looking at the mean gpas here.
00:09
So we have very large sample sizes of 330 and 550.
00:13
So 330 sorority students and 550 unaffiliated or non -serority students.
00:19
So these sample sizes are so large, greater than 30, namely, that we can use a two samples z test whenever we're working here.
00:26
So normally, if you don't know the population standard deviation, you would go with.
00:30
The t test, but once n is greater than 30, the z and the t become really close to the same thing, especially with sample sizes, you know, 330 and 550.
00:39
Those are pretty significantly large sample sizes.
00:42
So you have sample means here of the gpa, 3 .18 for those in sorority, and then 3 .12 of those not a sorority.
00:49
So slightly bigger difference than, you know, the male counterparts, but they're still really close to, you know, almost the same thing.
00:57
So we'll see.
00:58
And then the sample standard deviation of 0 .37 and 0 .41.
01:01
So we're supposed to test at the 5 % level of significance, the null hypothesis meaning there is no difference, and then the alternative saying that there actually is a difference.
01:12
And we need two things...