00:01
Hello student, 3 statistics textbook had the following purchases x1, x2, x3 x1, x2 and x3 variable equal observations and sum are summations are 16, 29, 30 means are 3 .2, 5 .8, 6 variance are 6 .56, 10 .16, 5 .2 what is the mean square treatment and to find mean square treatment is equal to question mark.
00:51
Now solution first find the values of sample size and we know that sample size mean is equal to sum of observations divided by number of observation then in our given condition the sum and the mean are known we have to find number of observations then for first sum is 16, 16 divided by 3 .2 we get 5 next 29 divided by 5 .8 again we get 5 and next is 30 divided by 6 we get again 5 in this way we calculate the required terms then first sum of squares of treatment then sum of squares of treatment is equal to summation of e i dot square divided by n i minus t double dot square upon capital n then first capital n equal to n1 plus n2 plus n3 then 5 plus 5 plus 5 equals to 15.
02:17
T double dot is the grand total which is equal to t1 plus t2 plus t3 then t1, t2, t3 are the means of the treatments and this is equal to 16 plus sorry t double dot is the grand total that is the sum of the all treatments 16 plus 29 plus 30 we get t double dot equals to 72.
02:47
Now t i dot, t i dot is the treatment sum, sum of the treatment for the corresponding treatment then treatment sum of squares of treatment equal to first treatment sum is 16 square divided by sample size which is a 5 second treatment sum is 29 square divided by 5 third treatment sum is 30 square divided by 5 minus total treatment which is a 70 not 2, 5 here sorry by mistakely i write down the wrong value which is a 75 then 75 square divided by capital n which is equal to 5...