00:01
We have some sample data here.
00:04
N, the sample size, is 36.
00:06
X bar, the sample mean, is 3 ,180 .6.
00:11
S, the sample standard deviation, is 700 .5.
00:15
We want a confidence interval for the population mean here.
00:20
So the formula for this interval is x bar, point estimate, plus minus the margin of error, t s over root n.
00:28
T is our critical value, because the population standard deviation is unknown.
00:33
If we knew sigma, we would be using z instead.
00:37
So we just need t.
00:39
For t, we need two things.
00:41
Degrees of freedom and alpha over two.
00:45
Degrees of freedom for a single sample is n minus 1.
00:48
So 35.
00:50
Alpha over 2 is 1 minus the confidence over 2.
00:54
We want 95 % confidence...