In a bumper test, three test vehicles of each of three types of autos were crash
ID: 2929035 • Letter: I
Question
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. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)?
5 mph Collision Damage ($)
Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.)
Factor 2 (Vehicle)
Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your t-values and critical values to 2 decimal places and other answers to 3 decimal places.)
Tukey simultaneous comparison t-values (d.f. = 18)
Tukey simultaneous comparison t-values (d.f. = 18)
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. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)?
Explanation / Answer
a)
Anova: Two-Factor With Replication
b)
c)
The main effects of angle and vehicle are significant, but there is not a significant interaction effect.
is correct
a)
Anova: Two-Factor With Replication
SUMMARY Goliath Varmint Weasel Total Head-On Count 3 3 3 9 Sum 3070 5010 5530 13610 Average 1023.3333 1670 1843.33333 1512.222222 Variance 159433.33 4900 104433.333 207269.4444 Slant Count 3 3 3 9 Sum 4540 5240 5980 15760 Average 1513.3333 1746.66667 1993.33333 1751.111111 Variance 58433.333 16033.3333 216433.333 115936.1111 Rear-end Count 3 3 3 9 Sum 2910 3660 4650 11220 Average 970 1220 1550 1246.666667 Variance 67900 153300 54700 132450 Total Count 9 9 9 Sum 10520 13910 16160 Average 1168.8889 1545.55556 1795.55556 Variance 138711.11 104277.778 132027.778b)
ANOVA Source of Variation SS df MS F P-value F crit Sample 1146155.6 2 573077.778 6.172697172 0.009091 3.554557 Columns 1791266.7 2 895633.333 9.646986077 0.001421 3.554557 Interaction 182844.44 4 45711.1111 0.492360474 0.74143 2.927744 Within 1671133.3 18 92840.7407 Total 4791400 26