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 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.Calculate
,
,and the F-ratio.Can you reject
Using α = 0.05? The ANOVA table is listed below.

A)

= 497.069;

= 206.346;F-Ratio =2.409;Yes,reject

Using α = 0.05.
B)

= 745.604;

= 206.346;F-Ratio = 3.613;Yes,reject

Using α = 0.05.
C)

= 497.069;

= 240.737;F-Ratio =2.065;No,do not reject

Using α = 0.05.
D)

= 745.604;

= 222.219;F-Ratio = 3.355;No,do not reject

Using α = 0.05.
E)

= 745.604;

= 240.737;F-Ratio = 3.097;No,do not reject

Using α = 0.05.