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Can someone please answer this ??? thank you You think that, in addition to cannabis use,...

Can someone please answer this ??? thank you

You think that, in addition to cannabis use, road conditions may also affect driving abilities and contribute to an increased risk of road accidents. You suggest that further testing be made using 5 different road-condition scenarios in the virtual driving simulator. Your proposal is accepted and a new group of 60 individuals are solicited to participate in the study and are randomly assigned to one of the various treatment groups.

  1. [2 marks] Examine the interaction plot and explain if it shows interaction between cannabis intake and road conditions impacting on driving scores.
  2. [2 marks] Which combinations of cannabis intake and road conditions (treatment means) have the lowest and highest average driving scores?
Score on Driving Test after Intake (Max.30) by Scenario
Intake/Treatment Groups
Scenarios Light Dose-2 hours Wait Light Dose-4 hours Wait Heavy Dose- 2 hours Wait Heavy Dose- 4 hours Wait
Scenario-1 28 27 27 24
30 27 25 24
26 27 23 24
Scenario-2 23 25 19 23
23 29 21 21
20 24 23 19
Scenario-3 26 30 23 21
25 28 19 25
24 29 23 23
Scenario-4 19 20 18 14
22 21 15 17
25 22 21 20
Scenario-5 24 24 19 20
22 23 17 24
20 22 15 25
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

(a) The interaction plot is:

There is an interaction between cannabis intake and road conditions impacting on driving scores.

(b)

Means:
Light Dose-2 hours Wait Light Dose-4 hours Wait Heavy Dose- 2 hours Wait Heavy Dose- 4 hours Wait
Scenario-1 28.0 27.0 25.0 24.0 26.0
Scenario-2 22.0 26.0 21.0 21.0 22.5
Scenario-3 25.0 29.0 21.7 23.0 24.7
Scenario-4 22.0 21.0 18.0 17.0 19.5
Scenario-5 22.0 23.0 17.0 23.0 21.3
23.8 25.2 20.5 21.6 22.8

Scenario-3 and Light Dose-4 hours Wait have the highest average driving scores.

Scenario-5 and Heavy Dose- 2 hours Wait have the lowest average driving scores.

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