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 1630,760,850,1960,1240

Varmint 1290,1440,1310,1860,960

Weasel 1000,2100,1800,1270,1930

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 - - - -

Varmint - - - -

Weasel - - - -

Total - - - -

One-Factor ANOVA

Source SS df MS F p-value

Treatment - - - - -

Error - - - - -

Total - - - - -

Answer 1

Following is the output of one way ANOVA analysis:

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Goliath	5	6440	1288	260370
Varmint	5	6860	1372	105770
Weasel	5	8100	1620	216450
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	297973.3	2	148986.7	0.767195	0.485798	3.885294
Within Groups	2330360	12	194196.7
Total	2628333	14

---------------------------------

Following is the completed table;

Groups	Mean	n	SD	Variance
Goliath	1288.0	5	510.26	260370
Varmint	1372.0	5	325.22	105770
Weasel	1620.0	5	465.24	216450

Following is ANOVA:

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	297973.3	2	148986.7	0.77	0.4858	3.89
Within Groups	2330360	12	194196.7
Total	2628333	14