An experiment is conducted to determine whether there is a differnce among the mean increases in...
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 | 13 | 18 | 24 | 12 | 10 |
| Plant 2 | 14 | 23 | 20 | 18 | 12 |
| Plant 3 | 9 | 28 | 22 | 12 | 9 |
| Plant 4 | 13 | 19 | 23 | 18 | 10 |
| Mean | 12.25 | 22 | 22.25 | 15 | 10.25 |
| Standard Dev. | 2.2174 | 4.5461 | 1.7078 | 3.4641 | 1.2583 |
It is also given that the overall mean = 16.35.
Compute the following:
(a) SSTR==
(b) SSE ==
(c) MSTR ==
(d) MSE ==
(e) F ==
Homework Answers
applying one way ANOVA on above data:
| Source of Variation | SS | df | MS | F |
| Between Groups | 490.3000 | 4 | 122.5750 | 14.5634 |
| Within Groups | 126.2500 | 15 | 8.4167 | |
| Total | 616.5500 | 19 |
a)
SSTR =490.3000
SSE = 126.2500
MSTR =126.2500
MSE=8.4167
F =14.5634
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