Question

PLEASE SHOW ANSWER WITHOUT USING EXCEL OR ANY SOFTWARE. NEED DETAILED WORKINGS OF THE ANSWER. PLEASE NOTE NO EXCEL

Conduct a test of hypothesis to determine whether the block of the treatment means differ. Using the .05 significance level:

1. State the null and alternate hypothesis for treatments
2. State the decision rule for treatments
3. State the null and alternate hypothesis for blocks
4. State the decision rule for blocks
5. Compute SST, SSB SS total, and SSE
6. Complete an ANOVA table
7. Give your decision regarding the two sets of hypotheses

	Treatment
Block	1	2	3
A	12	14	8
B	9	11	9
C	7	8	8

PLEASE SHOW ANSWER WITHOUT USING EXCEL OR ANY SOFTWARE. NEED DETAILED WORKINGS OF THE ANSWER. PLEASE NOTE NO EXCEL

Answer 1

a) H_0t: There is no significance difference among the 3 treatments
H_1t: At least two treatments means are significant

b) Reject H_0t  f F value > F critical value = 6.9443

c)
H_0b: There is no significance difference among the 3 blocks
H_1b: At least two blocks means are significant

d) Reject H_0b if F value > F critical value = 6.9443

e) From the given data

	Treatment
Block	1	2	3	Ti	Ti^2/3
A	12	14	8	34	385.3333
B	9	11	9	29	280.3333
C	7	8	8	23	176.3333
Tj	28	33	25	86	842
Tj^2/3	261.3333	363	208.3333	832.6667

Using above table,

f) Anova Table:

g) Since F value < F critical value of Row (Block) so we accept H0b

Thus we conclude that  There is no significance difference among the 3 blocks

Since F value < F critical value of Column (Treatment) so we accept H0t

Thus we conclude that  There is no significance difference among the 3 treatments