The following is an incomplete F -table summarizing the results of a study of th

Question

The following is an incomplete F-table summarizing the results of a study of the variance of life satisfaction scores among unemployed, retired, part-time, and full-time employees.

(a) Complete the F-table. (Round your values for mean squares and F to two decimal places.)

(b) Compute omega-squared

(2).

(Round your answer to two decimal places.)
2 =  

(c) Is the decision to retain or reject the null hypothesis? (Assume alpha equal to 0.05.)

Retain the null hypothesis.Reject the null hypothesis.

Source of Variation SS df MS F Between groups 19 Within groups (error) 36 Total 133

Explanation / Answer

Part-a

Completed table

Part-b

Omega square=

=(dfbetween*(MSbetween-MEerror))/(SSTotal+MSerror)

=(3*(19-2.11))/(133+2.11)

=0.38

Part-C

degree of freedom of F= (3, 36)

p-value=FDIST(9.00,3,36)=0.0001<0.05

So we reject the null hypothesis

Source of Variation SS df MS F Between groups 57 3 19.00 9.00 Within groups (error) 76 36 2.11 Total 133 39

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