More Info Consider the accompanying data collected for a randomized block ANOVA.

Question

More Info 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. Block Sample 1 Sample 2 Sample 3 Sample 4 a) Calculate the total sum of squares (SST) SST-U (Round to two decimal places as needed ) b) Partition the total sum of squares (SST) into its three components. SS8- (Round to two decimal places as needed.) SSBL(Round to two decimal places as needed.) SSE: (Round to two decimal places as needed.) 6 10 Print Done

Explanation / Answer

The statistical software output for this problem is:

Hence,

a) SST = 97.8

b) SSB = 27.8

SSBL = 2.8

SSE = 67.2

c) Hypotheses: Option A is correct.

Test statistic = 1.65

Critical value = 3.49

Do not reject; is no

d) Hypotheses: Option C is correct.

Test statistic = 0.13

Critical value = 3.26

Do not reject; is no

a ANOVA Table 5% Source SS df MS F Fcritical p-value Treatment 2.8 4 0.7 0.125 3.2592 0.9706 Block 27.8 3 9.26667 1.6548 3.4903 0.2292 Error 67.2 12 5.6 Total 97.8 19

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