Answer and Step-by-step explanation:
ANOVA model is mathematical model describe relationship between response and treatment.
One way ANOVA is given by:
YIJ = µ + Ti +Єij
Where, yij represent jth observation on ith treatment.
In this question, researcher collected data on the breakfast expenditure of a family whose size is five.
Yes, we can use ANOVA model. ANOVA can be used even if there is quadratic nonlinear relationship between expenditure and family size.
Since, the family size is five; we have to compare their mean expenditure on food.
The ANOVA one way model is:
YIJ = µ + Ti +Єij
For i=1, 2,3,4,5 and j= 1, 2,3,4,5
With hypothesis,
H01 : µ1 are equal.
H11 : at least two i not equal to j.