Question

An experiment is conducted to determine whether there is a differnce among the mean increases in growth produced by five strains (A, B, C, D and E) of growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all of equal weight), with four cuttings randomly assigned to each of the five different strains. The increases in weight for each cutting along with the sample mean and sample standard deviation of each group are given in the table below.

	A	B	C	D	E
Plant 1	1111	3030	2525	1616	99
Plant 2	99	1717	2323	1616	1515
Plant 3	1515	2727	2323	1010	77
Plant 4	1010	2424	2424	1717	1212
Mean	11.2511.25	24.524.5	23.7523.75	14.7514.75	10.7510.75
Standard Dev.	2.63002.6300	5.56785.5678	0.95740.9574	3.20163.2016	3.50003.5000

It is also given that the overall mean = 17.

Compute the following:
(a) SSTR==
(b) SSE ==
(c) MSTR ==
(d) MSE ==
(e) F ==

Answer 1

The statistical software output for this problem is :

(a) SSTR =716
(b) SSE = 184
(c) MSTR = 179
(d) MSE = 12.267
(e) F = 14.59