00:01
For this problem, to begin, we have that our null hypothesis is that the mean value for the students who completed the course is equal to that of the general population, 578.
00:13
The alternate hypothesis here would be that the mean value is greater than that of the general population, so that the mean value is greater than 578.
00:31
So we can find, or i'll note here that we are told we take a sample of size 90, we get a sample, we have a sample mean of, what was it, sample mean was 582, and we know the population standard deviation is equal to 37.
00:56
So we, and let's see here, we're also told that we are testing at the alpha equals 0 .1 level of significance, though it does appear that we are going to be using the p -value method.
01:09
So since we have, since we know the population standard deviation and we also have a large sample, we can use a z statistic, where the value of the z statistic, or z statistic alternatively, is calculated by taking x bar minus mu naught divided by sigma over the square root of n.
01:34
So we can plug in our given values to calculate this out...