00:01
So our question says which of the following is correct about the t distribution and the standard normal distribution? so check all that applies.
00:09
So the first option, let's see option a, says that the t distribution and the normal distribution approximate as the sample size decreases.
00:16
This is actually wrong because the t distribution tends to approximate the standard normal distribution as the sample size increases.
00:26
So that means a statement a is actually false.
00:33
So our second statement says that given a sample size are less than 30 observations, the variability of a t distribution is, excuse me, the variability of a t distribution is larger compared to that of a standard normal distribution.
00:49
As mentioned earlier, as the sample size of a t distribution increases, it varies so much that it becomes almost like a normal distribution.
00:59
So if you reduce the sample size, the degree of freedom is going to reduce also.
01:03
The variability of the distribution is actually going to reduce...