Question

# In a bumper test, three types of autos were deliberately crashed into a barrier at 5...

In a bumper test, three types of autos were deliberately crashed into a barrier at 5 mph, and the resulting damage (in dollars) was estimated. Five test vehicles of each type were crashed, with the results shown below. Research question: Are the mean crash damages the same for these three vehicles?

 Crash Damage (\$) Goliath Varmint Weasel 1,600 1,250 1,050 790 1,420 2,160 870 1,300 1,850 1,960 1,810 1,250 1,220 980 1,910

Fill in the missing data. (Round your p-value to 4 decimal places, mean values to 1 decimal place, and other answers to 2 decimal places.)

 Group Mean n Std. Dev Variance Goliath Not attempted Not attempted Not attempted Not attempted Varmint Not attempted Not attempted Not attempted Not attempted Weasel Not attempted Not attempted Not attempted Not attempted Total Not attempted Not attempted Not attempted
 One-Factor ANOVA Source SS df MS F p-value Treatment Not attempted Not attempted Not attempted Not attempted Not attempted Error Not attempted Not attempted Not attempted Total Not attempted Not attempted

Calculate the value of Hcalc. (Round your answer to 2 decimal places.)

H
calc

Applying one way ANOVA on above data:

 Group Mean n Std. Dev Variance Goliath 1288.0 5 494.03 244070 Varmint 1352.0 5 302.44 91470 Weasel 1644.0 5 471.04 221880 Total 1428.0 15 430.10
 Source SS df MS F p-value Treatment 360160.00 2 180080.00 0.97 0.4072 Error 2229680.00 12 185806.67 Total 2589840.00 14

Hcalc = highest variance / lowest variance

= 244070 / 91470 =2.668 2.67

Hcalc = 2.67

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