Question

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

    Click here for the Excel Data File

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 H_calc. (Round your answer to 2 decimal places.)

H_calc             

Answer 1

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

H_calc = highest variance / lowest variance

= 244070 / 91470 =2.668 2.67

  H_calc = 2.67

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