00:01
And problem number two, we're asked why the t distribution has less spread as the number of degrees of freedom, i'm sorry, this should say increases, increases.
00:14
So as the degrees of freedom increases, why does the t distribution have less spread? and basically what we're going to say is, well, degrees of freedom are reliant on n on the sample size.
00:28
Degrees of freedom is at least for this section is in minus one so sample size minus one so as n increases or the sample size increases the variability decreases and the t distribution approaches the z distribution gets closer and closer to the z distribution now it never actually equals it unless n is infinity but it gets closer and closer it gets infinitely close to the z distribution because that standard error is getting smaller.
01:07
So if you look at the formula, the standard error of the estimate, s over squared of n becomes smaller, becomes smaller, as in increases.
01:26
So as in gets larger, because we're dividing by a larger number, because we are dividing by a larger number.
01:50
Okay, and the less variability means the less spread...