A Mechanical Engineer Is Studying Bonding Issues with the Thermal

A mechanical engineer is studying bonding issues with the thermal protection tiles on the Space Shuttle.He wants to see whether there is any difference in the bonding strength between three different compounds.Fifteen tiles are randomly assigned to one of the three compounds so that each compound is tested on five tiles.Each tile is coated with its assigned compound and bonded to a surface.After a period of time,pull-tests are performed to determine the amount of force needed to break the bond.How many degrees of freedom does the treatment sum of squares have? How about the error sum of squares?

A) df-treatment = 2; df-error = 12
B) df-treatment = 3; df-error = 12
C) df-treatment = 2; df-error = 14
D) df-treatment = 3; df-error = 14
E) df-treatment = 2; df-error = 13