Random sampling from four treatments produced the following

Random sampling from four treatments produced the following data: Use Table 4.

  

  

Treatments

Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.)

  

  

  

  

Random sampling from four treatments produced the following data: Use Table 4.

Random sampling from four treatments produced the following data: Use Table 4. Calculate the grand mean. (Negative value should be indicated by a minus sign. Round your answer to 2 decimal places.) Calculate SSTR and MSTR. (Round intermediate values to 4 decimal places and final answers to 2 decimal places.) Calculate SSE and MSE. (Round intermediate values to 4 decimal places and final answers to 2 decimal places.) Calculate the value of the F test statistic. (Do not round intermediate calculations. Round your answer to 2 decimal places.)

Solution

(a) (3*13+4*10+5*10.4+3*18.3)/15 = 12.39

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(b)

SSTR=149.73

MSTR=49.91

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(c)SSE=55.87

MSE=5.08

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(e)F test statistic = 9.83

ANOVA table
Source	SS	df	MS	F	p-value
Treatment	149.73	3	49.911	9.83	.0019
Error	55.87	11	5.079
Total	205.60	14