00:01
Hello student, develop the analysis of the various computation for the following experimental design.
00:06
In the given the value of alpha equals to 0 .05 and to test the is there significant difference between the treatment means then to test the null hypothesis is that mu1 equals to mu2 equals to mu3 which are the population means related with the three treatments and the at least one mean of treatment is differ significantly.
00:40
Then the test statistics for this test we know that is a f -stat and f -stat is equal to the mean sum of squares of between divided by mean sum of squares of within.
00:58
Then for this first from the given information the n1 equal to 8, n2 equals to 10, n3 equal to 10.
01:09
Therefore capital n equals to n1 plus n2 plus n3 which is equals to 28 and the number of treatments are given as the 3.
01:18
Then x1 bar which is equals to summation of all observations divided by total number of observations.
01:24
The first x1 bar is 119, next is equals to 107 and the next mean equals to 110.
01:33
Then standard deviation.
01:35
Standard deviation is simply under root of summation of the observations and subtract their mean from mean and then take square of it and take the summation of all observation and divide it by the total number of observation minus 1 and minus 1 and then takes under root of it.
01:53
We get the standard deviation related with the first treatment, related with the second treatment and related with the third treatment.
02:06
If you need the mean formula that is the summation of x1 upon in this way we get the all observational data.
02:15
All the summary statistics from the observational data.
02:19
Now we have to find the degrees of freedom of the between group.
02:27
The degrees of freedom of the between groups are k minus 1...