(e) F= ..ooo Verizon F 11:23 AM 92%, webwork.latech.edu (1 point) An experiment
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Question
(e) F=..ooo Verizon F 11:23 AM 92%, webwork.latech.edu (1 point) An experiment is conducted 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 C D E Plant 1 12 29 22 111 6 Plant 2 18 19 23 18 15 Plant 3 18 21 20 18 71 Plant 4 19 21 24 15 6 Mean 16.75 22.5 22.25 15.5 8.5 Standard 3.2016 4.4347 1.7078 3.3166 4.3589 Dev. It is also given that the overall mean 17.1. Compute the following: (a) SSTR (b) SSE (c) MSTR (d) MSE
Explanation / Answer
i ni Xi Si^2 ni*(Xi-mean)^2 (n1-1)*Si^2 1 4 16.75 10.250 0.490 30.7507277 2 4 22.5 19.667 116.640 58.9996923 2 4 22.25 2.917 106.090 8.74974252 2 4 15.5 11.000 10.240 32.9995067 3 4 8.5 19.000 295.840 57.0000276 mean 17.100 529.300 188.500 MSG MSE Source of variation SS df MS F P value F crit Between groups 529.300 4 132.325 10.530 0.00029 3.055568 with in groups 188.500 15 12.567 total 717.800 19
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