1). Given an experiment with 6 treatments (A, B, C, D, E and F) and 4 replications:

1. Assign treatments to experimental units in a completely randomized design (CRD)

1. Assign treatments to experimental units in a randomized complete block design

(RCB)

2. Complete the table below and answer the questions that follow:

Yield of seven soybean cultivars evaluated in three replications.

Treatments	Block	Total	Mean	Grand Mean
	1	2	3
1	13.8	13.5	13.2
2	21.0	22.7	22.3
3	18.9	18.3	19.6
4	19.3	18.0	20.5
5	22.2	24.2	25.4
6	25.3	24.8	28.4
7	25.9	26.7	27.6
Total
Mean

1. Complete the analysis of variance (ANOVA) table for a completely randomized design (CRD) below.

Sources of Variation df SS MS F FCrt

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Total 412.7 - - -

1. State the null hypothesis.

1. State the alternate hypothesis.

1. Make a conclusion on the hypotheses based on the results.

1. Indicate what type of error you are likely to be committing.

1. Calculate the CV (show your work).

1. Conduct an ANOVA for a randomized complete block design (RCB).

Sources of Variation df SS MS F FCrt

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Total 412.7 - - -

1. State the null hypothesis.

1. . State the alternate hypothesis.

1. Make a conclusion on the hypotheses based on the results.

1. Indicate what type of error you are likely to be committing.

1. Calculate the CV (show your work).

Use the following information if needed:

Correction Factor (CF) = (Y..)²/nr

Total Sum of Squares (TSS) = (Yij)² - CF

Sums of Squares Treatment (SST) = [ (Yi.)²/r]- CF

Sum of Squares Error (SSE) for CRD= TSS - SST

Sums of Squares Block (SSB) = [ (Y.j)² /t] - CF

Sum of Squares Error (SSE) for RCB= TSS - SST-SSB

Block Efficiency (RE):

[(r-1) MSB + r(t-1) MSE]/(rt-1)MSE

CV = [(EMS)/GM] x 100= (S/GM) x 100

S = EMS

S_d = (2EMS/r)

LSD = t(2EMS/r)

Variance (S²) = SS/n-1

Standard deviation (S) =S²

Coefficient of variation (CV) = S/

Standard error of the mean (S) = S/n

Confidence limits (CL) = t S