00:01
Okay, so we have an elevator that has a weight limit of 2 ,500 pounds.
00:10
And it says right now that it has a limit of 16 persons.
00:16
So we also know that the average weight of everybody on the campus is 150 pounds with the standard deviation of 27, and that it's approximately normal.
00:27
So we're going to take a random sample of 16 persons.
00:34
So a asks what is the expected value of the sample mean? so the expected value of the sample mean would just be the expected, or it would just be the mean of the population.
00:47
So it would just be 150.
00:50
For b, what would be the stare deviation of the sampling distribution of the weight? the stare deviation of the sampling distribution is computed as sigma over the square root of n.
01:00
So that would be 27 divided by the square root of 16, which is 4.
01:08
And 27 divided by 4 is 6 .75.
01:14
So that would be the standard deviation of the sampling distribution.
01:17
C asks what average weights for the 16 people will result in total weight exceeding the weight limit...