Consider the accompanying data collected for a randomized block ANOVA. Complete

Question

Consider the accompanying data collected for a randomized block ANOVA. Complete parts a) through d) below. Click the icon to view the data. Click the icon to view a table of critical F-scores. a) Calculate the total sum of squares (SST). SST-| 1371 (Round to two decimal places as needed.) b) Partition the total sum of squares (SST) into its three components SSB(Round to two decimal places as needed.) SSBL = | | (Round to two decimal places as needed.) SSE(Round to two decimal places as needed.) c) Using =0.05, what conclusions can be made about the population means? What are the correct hypotheses to test for differences in the population means? More Info Block Sample 1 Sample 2 Sample 3 Sample 4 9 10 10 10 2 Print Done H1 : Not all the 's are equal .. 1.1 Vi :/ ·. (..n) More

Explanation / Answer

From ANOVA Table

Two-way ANOVA: Data versus Block, Sample

Source DF SS MS F P
Block 4 20 5 1.25 0.342
Sample 3 69 23 5.75 0.011
Error 12 48 4
Total 19 137

Answers:

a) SST = 137
b) SSB = 20
SSBL= 69
SSE = 48

c) Correct Answer: Option (A)
F = 1.25
Falpha = 3.259
Do not reject H0 there is no significant difference between the means

d) Correct Answer:Option (C)
FBl = 5.75
Falpha = 3.490
Reject H0 There is evidence suggesting that the blocking was effective

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