00:01
So since the claim is that the mean is equal to 52 ,400, this means that the other hypothesis will be the opposite of this, which is with the different sign, and we put the same value.
00:14
So the one that has the equal sign is what we call the null hypothesis always, and the other one, the one that does not have the equal sign is our alternative hypothesis.
00:25
So this means that in terms of hypotheses, the correct one is in letter c.
00:30
Then we find the test statistic.
00:32
So because our sample size is quite small, we are going to use the test statistic based on the t distribution.
00:38
So i'm going to write t because we are using the t distribution, and the formula is given by the, in this case, the sample mean that we have minus the value that we are testing in our hypothesis, divided by the standard deviation, divided by the square root of the sample size.
01:00
So this is negative 103.
01:04
So now we find the critical values here.
01:06
So because i said that we are using the t distribution, we have two critical values because of this different sign, and they are like equal aside from this sign.
01:16
One is positive and the other one is negative.
01:19
So these areas here, they are given to be half of alpha that we have...