00:01
Okay, so we want to test if the mean is the same in branches a, b and c or not.
00:05
So the null hypothesis is going to be that the mean in branch a is equal to the mean in branch b is equal to the mean in branch c.
00:12
And the alternative hypothesis is going to be that they're not all the same.
00:18
And the way we test this is we do a one -way anova test for a difference in means.
00:22
And we write down the degrees of freedom, sum of squares, mean square, f -test statistic and p -value for between the different branches and within the different branches.
00:37
Now the degrees of freedom between the branches is just the number of branches minus one.
00:41
There are three branches and so that's just two.
00:44
The degrees of freedom for within is the total sample size which is 18 minus the number of branches which is three because that gives us 15.
00:53
The sum of squares turn out to be 1327 and 3826 .9922 the mean square is the sum of squares divided by the degrees of freedom which is 663 .5 and 255 .1328 the f -test statistic is the mean square for between the groups divided by the mean square for within which is 2 .6006 and the p -value for this f -value with 2 and 15 degrees of freedom is 0 .1072...