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 10 15 20 12 6

Plant 2. 9 22 23 10 9

Plant 3 10 15 22 12 14

Plant 4 14 28 24 11 7

x 43 80 89 45 36

2x2 477 1718 1989 509 362

Compute the following:

(a) SST=

(b) SSE=

(c) MST=

(d) MSE=

(e) F=

2. For each problem, select the best response.

(a) The alternative hypothesis for an ANOVAFtest is that

A.none of the population means are equal.

B.all of the population variances are not equal.

C.at least two of the population means are not equal.

D.none of the population variances are equal.

E.all of the population means are not equal.

(b) The null hypothesis for an ANOVAFtest is that

A.population standard deviations are not equal.

B.population means are equal.

C.sample means are equal.

D.sample sizes are equal.

E.sample standard deviations are not equal.

(c) An ANOVAFtest is most appropriate when the

A.standard deviations are not equal.

B.data are quantitative.

C.standard deviations must be estimated.

D.number of samples is two.

E.samples sizes are equal.