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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 (5) Crash Type Head-On Goliath Varmint 1,720 1,680 1,650 1,880 1,760 1,640 Weasel 2, 290 1,600 1,750 2,020 1,550 2,410 1,670 1,630 1,260 710 1,480 se0 Slant 1,410 1,750 1, 280 760 Rear-end 1, 280 930 1,550 1,260

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 (5) Crash Type Head-On Goliath Varmint 1,720 1,680 1,650 1,880 1,760 1,640 Weasel 2, 290 1,600 1,750 2,020 1,550 2,410 1,670 1,630 1,260 710 1,480 se0 Slant 1,410 1,750 1, 280 760 Rear-end 1, 280 930 1,550 1,260

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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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 ($) Crash Type Head-On Varmint 1,720 1,680 1,650 1,880 1,760 1,640 Goliath Weasel 2, 290 1,600 1,750 2,020 1,550 2,410 1,670 1,630 1, 260 710 1,480 800 Slant 1,410 1,750 1, 280 760 Rear-end se0 1, 280 1,550 1,260 930 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses. a. He: A1 + A2 * Az + e H1: All the Aj are equal to zero b. He: A1 = A2 = A3 = e H1: Not all the A; are equal to zero + Angle means differ + Angle means are the same + Angle means are the same + Angle means differ (a-2) Choose the correct column-effect hypotheses. a. Hg: B1 + B2 + B3 + e H1: All the Bk are equal to zero b. Hg: B1 = B2 = B3 = 0 H: Not all the Bg are equal to zero + Vehicle means differ + Vehicle means are the same E Vehicle means are the same + Vehicle means differ a (a-3) Choose the correct interaction-effect hypotheses. a. Hg: Not all the ABik are equal to zero H1: All the ABIR are equal to zero b. He: All the ABk are equal to zero H1: Not all the ABik are equal to zero + there is an interaction effect + there is no interaction effect + there is no interaction effect + there is an interaction effect O a
Transcribed Image Text:In a bumper test, three test vehicles of each of three types of autos were crashed into a barrier at 5 mph, and the resulting damage was estimated. Crashes were from three angles: head-on, slanted, and rear-end. The results are shown below. Research questions: Is the mean repair cost affected by crash type and/or vehicle type? Are the observed effects (if any) large enough to be of practical importance (as opposed to statistical significance)? 5 mph Collision Damage ($) Crash Type Head-On Varmint 1,720 1,680 1,650 1,880 1,760 1,640 Goliath Weasel 2, 290 1,600 1,750 2,020 1,550 2,410 1,670 1,630 1, 260 710 1,480 800 Slant 1,410 1,750 1, 280 760 Rear-end se0 1, 280 1,550 1,260 930 Click here for the Excel Data File (a-1) Choose the correct row-effect hypotheses. a. He: A1 + A2 * Az + e H1: All the Aj are equal to zero b. He: A1 = A2 = A3 = e H1: Not all the A; are equal to zero + Angle means differ + Angle means are the same + Angle means are the same + Angle means differ (a-2) Choose the correct column-effect hypotheses. a. Hg: B1 + B2 + B3 + e H1: All the Bk are equal to zero b. Hg: B1 = B2 = B3 = 0 H: Not all the Bg are equal to zero + Vehicle means differ + Vehicle means are the same E Vehicle means are the same + Vehicle means differ a (a-3) Choose the correct interaction-effect hypotheses. a. Hg: Not all the ABik are equal to zero H1: All the ABIR are equal to zero b. He: All the ABk are equal to zero H1: Not all the ABik are equal to zero + there is an interaction effect + there is no interaction effect + there is no interaction effect + there is an interaction effect O a
(b) Fill in the missing data. (Round your table of means values to 1 declmal place, SSand Fvalues to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.) Table of Means Factor 2 (Vehicle) Varmint Factor 1 (Angle) Head-On Goliath Weasel Total Slant Rear-End Total Two-Factor ANOVA with Replication df Source MS p-value Factor 1 (Angle) Factor 2 (Vehicle) Interaction Error Total (c) Using a = 0.05, choose the correct statement. O The main effect of vehicle is significant; however, there is no significant effect from angle or interaction between angle and vehicle. O The main effects of angle and vehicle are significant, but there is not a significant interaction effect. O The main effect of angle is significant; however, there is no significant effect from vehicle or interaction between angle and vehicle.
Transcribed Image Text:(b) Fill in the missing data. (Round your table of means values to 1 declmal place, SSand Fvalues to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.) Table of Means Factor 2 (Vehicle) Varmint Factor 1 (Angle) Head-On Goliath Weasel Total Slant Rear-End Total Two-Factor ANOVA with Replication df Source MS p-value Factor 1 (Angle) Factor 2 (Vehicle) Interaction Error Total (c) Using a = 0.05, choose the correct statement. O The main effect of vehicle is significant; however, there is no significant effect from angle or interaction between angle and vehicle. O The main effects of angle and vehicle are significant, but there is not a significant interaction effect. O The main effect of angle is significant; however, there is no significant effect from vehicle or interaction between angle and vehicle.
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