00:01
So for this problem, to begin, we know that we have our t distribution, which should look roughly like a normal distribution, where everything to the right of t equals negative 1 .25 is shaded.
00:14
So we want to find everything in the shaded region there.
00:19
So what we'll do is we can find that area by taking 1 minus the probability of t less than negative, or less than or equal to negative 1 .25.
00:31
But typically on a t distribution table, we don't have left tail probabilities.
00:36
Instead, we have right tail probabilities.
00:38
But because the distribution is symmetric, that would also be the same thing as probability as 1 minus the probability of t greater than or equal to positive 1 .25.
00:47
Now, we might need to do some estimation here because basically we'll be looking at a table.
00:53
We won't always know exactly what the tail probability is for any given t statistic, because, well, there are only so many rows and columns on a t distribution table.
01:04
But we'll see if we have any look.
01:06
We know that we want seven degrees of freedom.
01:09
So let's go to our t distribution table here...