00:01
Okay, so for the first bit, we're asked whether this is balanced or not.
00:04
So balance just means that each of the samples has the same sample size.
00:08
We can see that each of the samples here, group 1, group 2, group 3, all have size of 10.
00:13
And so all the sample sizes are equal.
00:15
And so we say it is balanced because m1 equals n2 equals n3 equals 10.
00:31
For part b, we want to state the null and alternative hypotheses.
00:34
Hypotheses.
00:35
The null hypothesis is that all the group means are equal, and the alternative hypothesis is that at least one of the group means differs from the others.
00:48
For part c then, we need to fill in the anova table.
00:51
So we need the degrees of freedom, sum of squares, mean square, f -test statistic, and p -value for between the groups and within the groups, or the factor and the error.
01:04
The degrees of freedom for between the groups is just the number of groups minus one, and for within the groups is the total sample size which is 30 minus the number of groups that gives us 27...