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Question 16 Fill in the Nova table. Source of variation Sum of squares Degrees o

ID: 3435797 • Letter: Q

Question

Question 16

Fill in the Nova table.        

  Source of variation   Sum of squares   Degrees of Freedom Mean Squares F-Test Statistic

Treatment                                                484                            2

Error                                                       5022                          28          

Total

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Complete the ANOVA table by filling in the missing values.

Source of variation   sum of squares   Degrees of Freedom Mean Squares F-Test Statistic

Treatment                                        484                         2                 ?                    ?

Error                                               5022                       28                 ?

Total                                                    ?                         ?

(Type an integer or decimal rounded to three decimal places as needed)

Explanation / Answer

given

Source of variation   sum of squares   Degrees of Freedom Mean Squares F-Test Statistic

Treatment                                        484                         2                 ?                    ?

Error                                               5022                       28                 ?

Total                                                    ?                         ?

we have to fill values at places of Qustion mark

so'

total sum of square=treatment sum of square + error sum of square=484+5022=5506

DF of Total =DF of Treatment + DF of error =2 +28 =30

Mean sum of square of treatment = treatment sum of square /Df of treatment = 484/2=242

Mean sum of squre of error =Error sum of square /DF of Error =5022/28 =179.357

F statistics =mean sum of square of treatment /mean sum of square of error =242/179.357 =1.349

so filled table is as follows

Source of variation   sum of squares   Degrees of Freedom Mean Squares F-Test Statistic

Treatment                                        484                         2                 242                   1.349

Error                                               5022                       28                 179.357

Total                                               5506                        30