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 |
1,660 | 1,270 | 1,040 |
790 | 1,490 | 2,110 |
880 | 1,380 | 1,800 |
1,980 | 1,810 | 1,280 |
1,210 | 990 | 1,920 |
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 | |||||
Calculate the value of Hcalc. (Round
your answer to 2 decimal places.)
Hcalc ??
using data >data>data analysis>one way ANOVA
we have
Anova: Single Factor | ||||||
SUMMARY | ||||||
Groups | Count | Sum | Average | Variance | ||
Goliath | 5 | 6520 | 1304 | 259130 | ||
Varmint | 5 | 6940 | 1388 | 90220 | ||
Weasel | 5 | 8150 | 1630 | 203500 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Between Groups | 286493.3 | 2 | 143246.7 | 0.777318 | 0.48146 | 3.885294 |
Within Groups | 2211400 | 12 | 184283.3 | |||
Total | 2497893 | 14 |
Group | Mean | n | Std. Dev | Variance |
Goliath | 1304 | 5 | 509.0481 | 259130 |
Varmint | 1388 | 5 | 300.3664 | 90220 |
Weasel | 1630 | 5 | 451.1097 | 203500 |
Total | 4322 | 15 | 1260.5242 | 552850 |
Source of Variation | SS | df | MS | F | P-value |
Treatment | 286493.3 | 2 | 143246.7 | 0.777318 | 0.48146 |
Error | 2211400 | 12 | 184283.3 | ||
Total | 2497893 | 14 |
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