Consider the accompanying data collected for a randomized block ANOVA. Complete
ID: 3365023 • Letter: C
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 lotal sum of squares (SST) SST= (Round to two decimal places as needed.) b) Partition the total sum of squares (SST) into its three components. SSB-O (Round to two decimal places as needed.) SSBLRound 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? H1: Not all the u's are equal C. Ho: Not all the 's are equal.Explanation / Answer
As per the Excel output, the ANOVA table will be:
Hence,
a) SST = 122.55
b) SSB = 36.55
SSBL = 41.8
SSE = 44.2
Source SS df MS F Fcritical p-value Treatment 41.8 4 10.45 2.8371 3.2592 0.0722 Block 36.55 3 12.1833 3.3077 3.4903 0.0574 Error 44.2 12 3.68333 Total 122.55 19