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 an excerpt from a table of critical F-distribution values. a) Calculate the total sum of squares (SST). SST Type an integer or decimal rounded to two decimal places as needed.) b) Partition the total sum of squares (SST) into its three components. SSB-(Type an integer or decimal rounded to two decimal places as needed.) SSBL = Type an integer or decimal rounded to two decimal places as needed.) SSEType an integer or decimal rounded to two decimal places as needed) c) Using = 0.05, what conclusions can be made about the population means? What are the correct null and alternative hypotheses? OB, Ho: Not all the 's are equal H1 : Not all the 's are equal What is the test statistic? Click to select your answer(s).

Explanation / Answer

As per the Excel output, the ANOVA table will be:

Hence,

a) SST = 153.67

b) SSB = 80.17

SSBL = 53.67

SSE = 19.83

Source SS df MS F Fcritical p-value Treatment 53.667 3 17.8889 5.4118 4.7571 0.0384 Reject Block 80.167 2 40.0833 12.126 5.1433 0.0078 Reject Error 19.833 6 3.30556 Total 153.67 11

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