1.Three states ( factor A) participated in a health awareness study. Each state independently devised a health awareness program. Three cities ( factor b) within each state were chosen at random from all the cities in the state and five households within each city were randomly selected to evaluate the effectiveness of the program. All members of the selected households were investigated before and after participation in the program and a composite index was formed for each household measuring the impact of the health awareness program. The data on health awareness follow ( the larger the index, the greater the awareness).

State 2 3 City 1 2 3 1 2 3 1 2 42 26 34 47 56 68 19 18 16 O 42 26 34 47 56 68 19 18 16 Household 56 38 51 58 43 51 36 40 28 4 35 42 60 39 65 49 24 27 45 5 28 53 44 65 59 57 33 23 21 O OSum of Source DF Squares Mean Square F Value Pr > F Model 8 6889.64444 861.20556 8.53 <_0001 error corrected total r-square coeff var root mse awareness mean source df type i ss square f value pr> F State 2 6602.17777 3301.088889 32.69 <.0001 city source df type iii ss mean square f value pr> F State 2 6602.17777 3301.088889 32.69 <_0001 city df type iii ss mean square f value pr> F State 2 6602.17777 3301.088889 68.90 <.0001 error error: ms source df type iii ss mean square f value pr> F City(State) 6 287.466667 47.911111 0.47 0.8227 Error: MS(Error) 36 3635.60000 100.988889 0