An experiment is conducted at the significance level of O.005 to determine whether there is a difference 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. AB Plant 1 16 23 25 10 9 Plant 2 12 29 23 19 14 Plant 3 11 28 22 19 6 Plant 4 17 24 20 13 6 Ex 56 104 90 61 35 Ex 810 2730 2038 991 349 CDE Compute the following: (a) SST= (b) SSE= (c) MST = (d) MSE = (e) F= () The rejection region is:

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An experiment is conducted at the significance level of 0.005 to determine whether there is a difference 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
DE
Plant 1 16 23 25 10 9
Plant 2 12 29 23 19 14
Plant 3 11 28 22 19 6
Plant 4 17
24
20 13 6
Σχ
56 104 90 61 35
Ex? 810 2730 2038 991 349
Compute the following:
(a) SST=
(b) SSE =
(c) MST =
(d) MSE =
(e) F =
(f) The rejection region is:
Transcribed Image Text:An experiment is conducted at the significance level of 0.005 to determine whether there is a difference 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 DE Plant 1 16 23 25 10 9 Plant 2 12 29 23 19 14 Plant 3 11 28 22 19 6 Plant 4 17 24 20 13 6 Σχ 56 104 90 61 35 Ex? 810 2730 2038 991 349 Compute the following: (a) SST= (b) SSE = (c) MST = (d) MSE = (e) F = (f) The rejection region is:
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