00:01
We're looking at t distributions.
00:03
The t distribution looks a lot like the normal distribution, except the tails are wider.
00:09
So i'll start by drawing it.
00:13
So here is a t distribution, and where the normal distribution just has mean and standard deviation, the t distribution has degrees of freedom.
00:25
The fewer the degrees of freedom, the wider the tails are compared to the corresponding normal distribution.
00:31
We want to find some t values here for confidence levels and sample sizes.
00:37
So you need three pieces of information to get a t value.
00:41
Degrees of freedom is one of them, and it's just equal to n minus one.
00:49
So in part one, degrees of freedom is 12, 13 minus one.
00:56
You also need alpha.
00:58
So for a 90 % confidence, there are two cutoff points here, between t and minus t, where the confidence is in the middle, 0 .9.
01:09
Alpha is the sum of the tails.
01:11
So here we have these two tails that have to add up to the remaining 0 .1...