Question

Prev UpNext (2 pts) 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. 18 23 2112 9 Plant 1 Plant 2 172625 10 11 Plant 3 Plant 4 Mean15.25 22.75 23 11.25 9 12 19 22 11 8 14 23 24 12 10 Standard Dev. 2.75382.87231.82570.95741.2910 It is also given that the overall mean 16.35 Compute the following (a) SSTR- (b) SSE (C) MSTR- (d) MSE (e) F-

Answer 1

Applying ANOVA on above data:

Source of Variation	SS	df	MS	F
Between Groups	637.3000	4	159.3250	36.6264
Within Groups	65.2500	15	4.3500
Total	702.5500	19

SSTR =637.3000

SSE =65.2500

MSTR =159.3250

MSE=4.3500

F =36.6264