00:01
So in this question we're given two rows.
00:03
We're given row b, which is the percentage increase for the company.
00:07
24, 23, 27, 18, 6, 4, 21, 37.
00:16
And a, which is the percentage increase for the ceo.
00:20
21, 25, 22, 14, minus 4, 19, 15, and 30.
00:31
And we want to see whether the population mean percentage increase for revenue is different from the population mean for ceo salary.
00:46
So what i can do is i can calculate d equals b minus a and put that in this column.
00:51
So 3, minus 2, 4, 4, 10, minus 15, 6, and 7.
01:06
And we want to look at the null hypothesis, which is that the mean of d is equal to zero.
01:12
Sorry, not d bar, but the mean of d, which is to say that the two rows have the same mean, versus the alternate hypothesis that they are different.
01:24
So in that case, the mean of d would not be equal to zero.
01:27
So this is going to be two -tailed.
01:32
Now, how many observations do we have? 1, 2, 3, 4, 5, 6, 7, 8.
01:36
So n equals 8.
01:39
We're also meant to use a significance level of 5%.
01:42
So alpha is 5 % or 0 .05.
01:46
Now let's calculate the sample mean of d.
01:51
Well, first of all, we need to sum over d and sum over d squared...