00:01
Firstly, let's summarize the given data.
00:04
Let x will be gpa at particular school, and we know that variable x has the normal distribution with population mean mu 2 .89, population standard deviation sigma 0 .68.
00:22
And we have a sample of size m, 25.
00:29
Task a.
00:30
We should find the problem.
00:31
That sample mean x bar will be less than 2 .60.
00:41
This equals probability that that is less than 2 .60 minus population mean 2 .89 divided by standard deviation 0 .68 divided by root square of sample size 25.
01:02
And we obtain probability that z is less than minus 2 .13.
01:16
And by using that score table, we can find the corresponding probability 0 .166.
01:29
So this is the answer for the part a.
01:33
The next part b, we should find the probability that sample mean will be between.
01:41
060 and 3 .00...