A Mechanical Engineer Is Studying Bonding Issues with the Thermal

question 21

Multiple Choice

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 MST,MSE,and the F-ratio.Can you reject H0 using α = 0.05? The ANOVA table is listed below. Analysis of Variance
Source Sum-of-Squares df Mean-Square F-ratio P-value
Compound 491.207
Error 2888.847
Total 4380.054

• A)MST = 497.069; MSE = 206.346; F-Ratio =2.409; Yes,reject H0 using α = 0.05.
• B)MST = 745.604; MSE = 206.346; F-Ratio = 3.613; Yes,reject H0 using α = 0.05.
• C)MST = 497.069; MSE = 240.737; F-Ratio =2.065; No,do not reject H0 using α = 0.05.
• D)MST = 745.604; MSE = 222.219; F-Ratio = 3.355; No,do not reject H0 using α = 0.05.
• E)MST = 745.604; MSE = 240.737; F-Ratio = 3.097; No,do not reject H0 using α = 0.05.

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