The following data are from a completely randomized design. Treatment 142 156 12

Question

The following data are from a completely randomized design. Treatment 142 156 128 142 133 151 142 176.4 110.8 135.6 164 142 166 143 148 173 156 123 122 132 143 152 132 134 Sample mean Sample variance a. Compute the sum of squares between treatments. Round the intermediate calculations to whole number b. Compute the mean square between treatments. c. Compute the sum of squares due to error d. Compute the mean square due to error (to 1 decimal). e. set up the ANOVA table for this problem. Round all Sum of Squares to the nearest whole number. Round all Mean Squares to one decimal place. Round F to two decimal places. Round ?-value to four decimal places. Source of Variation Sum of Squares Degrees of Freedom Mean Square p-value Treatments Error Tota

Explanation / Answer

a)

SS(treatments)=1488

b)

MS(treatments)=744

c)

SS(error)=2114

d)

MS(error)=140.9

e)

population ni x?i S2i ni*(Xi-Xgrand)2 (ni-1)*S2i 1 sample A 6 156.000 176.400 864.000 882.00 2 sample B 6 142.000 110.800 24.000 554.00 3 sample C 6 134.000 135.600 600.000 678.00 grand mean= 144.000 1488.000 2114.00 SSTr SSE

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