Be sure to show the full hypothesis test process. Give your answers correct to two decimal places unless otherwise stated.

An experiment is conducted at the significance level of 0.01 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 13. 21 21 15 12

plant 2. 11 20 23 17. 12

plant 3. 10 23 20 14. 11

plant 4. 19 20 21 12. 7

. 53 84 85. 58. 42

^2. 571 1770 1811. 854. 458

Compute the following:

(a) SST=

(b) SSE=

=

(c) MST=

(d) MSE=

(e) F=

(f) The rejection region is: