An experiment is conducted to determine whether there is a differnce among the m

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 above. It is also given that the overall mean = 16. Compute the following:

(a) SSTR=

(b) SSE =

(c) MSTR =

(d) MSE =

(e) F =

A B C D E Plant 1 15 15 24 15 12 Plant 2 10 18 21 12 13 Plant 3 16 18 24 10 11 Plant 4 12 24 24 12 14 Mean 13.25 18.75 23.25 12.25 12.5 Standard Dev. 2.7538 3.7749 1..5000 2.0616 1.2910

Explanation / Answer

a)SSTR =376

b)SSE=90

c)MSTR=94

d)MSE =6

e)F =15.6667

Source of Variation SS df MS F P-value F crit Between Groups 376 4 94 15.66667 3.11E-05 3.055568 Within Groups 90 15 6 Total 466 19

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