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In: Statistics and Probability

In a bumper test, three test vehicles of each of three types of autos were crashed...

In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end.

a) Use JMP to fit a two-way ANOVA to the data. Using alpha = 0.05 draw conclusions for the ANOVA. Make sure you state your conclusion in the context of the problem.

b) Does there appear to be a need to include the vehicle type / crash angle interaction term?

c) Use JMP to fit a two-way ANOVA with interaction to the data.

Auto Angle    Damage

Goliath    Head-On    700

Goliath    Head-On    1400

Goliath    Head-On 850

Goliath Slant 1430

Goliath Slant    1740

Goliath Slant 1240

Goliath Rear end 700

Goliath Rear end    1250

Goliath Rear end    970

Varmint    Head-On    1700

Varmint    Head-On 1650

Varmint    Head-On 1630

Varmint    Slant    1850

Varmint    Slant 1700

Varmint Slant 1650

Varmint Rear end    860

Varmint    Rear end    1550

Varmint Rear end    1250

Weasel    Head-On    2280

Weasel    Head-On    1670

Weasel    Head-On 1740

Weasel    Slant    2000

Weasel Slant 1510

Weasel    Slant 2480

Weasel    Rear end    1650

Weasel Rear end    1650

Weasel    Rear end    1240

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