00:01
So for this problem, i'll note that we're given the population standard deviation is equal to 9.
00:07
We have that the, let's see here, the mu value based on this, or the recommended value is 48.
00:19
Our null hypothesis is going to be that mu equals 48, rather, and the alternate hypothesis would be that mu is less than 48.
00:29
So what i've done is i've copied the data into my tia -84 simulation here.
00:36
What i'll do is go to calc 1var stats for my list of values there.
00:43
And we find that our sample mean value is equal to about 47 .583, roughly.
00:51
So to find the standardized test statistic, i'll go over to tests.
00:56
I'll note that this is going to be.
00:58
A z test because we know the population standard deviation and so we'll do a z test with our given data where mu not is 48 sigma is 9 now one alternate hypothesis is mu less than mu not calculate that out and so we find that the value of our standardized test statistic is equal to negative 1 or negative 0 0 .1604 roughly then, for finding, so actually i'll note we immediately have the value for c, where we're asked for the p value, we can see our p value is 0 .4363, roughly...