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

Can someone please answer this question? 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.

[6 marks] Test the following hypothesis at the 1% significance level; make sure you follow all the steps for hypothesis testing indicated in the Instructions section and show your computations.
1. Significant interaction effect between cannabis intake and road conditions;
2. Significant main effect of the cannabis intake factor (if warranted);
3. Significant main effect of the road conditions factor (if warranted).

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

Solutions

Expert Solution

Significant interaction effect between cannabis intake and road conditions;

No, there is no significant interaction effect between cannabis intake and road conditions.

Significant main effect of the cannabis intake factor (if warranted);

Yes, there is a significant main effect of the cannabis intake factor.

Significant main effect of the road conditions factor (if warranted).

Yes, there is a significant main effect of the road conditions factor.

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	24

				Factor 2
	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
Factor 1	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	22.7	21.2
		23.8	25.2	20.5	21.5	22.8

	3	replications per cell

ANOVA table
Source	SS	df	MS	F	p-value
Factor 1	328.40	4	82.100	20.61	2.77E-09
Factor 2	202.47	3	67.489	16.94	2.95E-07
Interaction	92.53	12	7.711	1.94	.0589
Error	159.33	40	3.983
Total	782.73	59

orchestra answered 1 year ago

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