00:01
Hey there, welcome to numerate.
00:03
We are looking at the hypothesis of the claim where the mean is greater than 11.
00:08
So we have 10 observations and the mean and sample standard standard deviation is given.
00:14
We use a hypothesis test using a 0 .025 significance level.
00:19
So let's start with our known alternative hypothesis here.
00:25
If they're restated, so let's rewrite it.
00:28
We have the mean population mean is greater than.
00:30
Than equal to or less than it equal to 11.
00:34
We also have our alternative hypothesis, ha, as the mean is greater than 11.
00:43
So again, this implies that this is a right -tail test since we're looking at greater than for the alternative.
00:53
All right, so let's jump into our t -score equation.
00:56
We're using t -scores since we've given a small sample size.
01:00
So our mean is 12 and our population mean here is 11.
01:09
This is then going to be divided by.
01:14
Standard deviation is 5, divided by the square root of our sample size, which is 10.
01:23
We calculate our t score...