Can someone please answer this question? I'm having trouble understanding how to answer. Please anything will help:)

Question 2 (7 parts, 25 marks)

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.

a)[4 marks] Identify the experimental design and determine the number of treatments, experimental units and replicates.

b)[5 marks] Plot the residuals against the fitted values corresponding to the two-way ANOVA model for this experiment. What two key model assumptions can be examined with this plot and do they appear to be warranted?

c)[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.

i.Significant interaction effect between cannabis intake and road conditions;

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

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

d)[2 marks] Examine the interaction plot and explain if it shows interaction between cannabis intake and road conditions impacting on driving scores; is this consistent with the results in c) above?

e)[2 marks] Which combinations of cannabis intake and road conditions (treatment means) have the lowest and highest average driving scores?

f)[4 marks] Why is it appropriate to use the Bonferroni method for comparing treatment means? Calculate the Bonferroni margin of error for the confidence intervals based on all pairwise differences between the treatment means. Show your manual calculations and use an overall 95% confidence level.

g)[2 marks] Using the calculated margin of error and the pairwise confidence interval approach in e) above, test the following statements:

i.Under normal summer road conditions, does light vs. heavy cannabis intake makes a significant difference on driving abilities if you wait 4 hours before driving?

ii.After a heavy intake of cannabis, does ice rain vs normal summer road conditions makes a significant difference on driving abilities if you wait 4 hours before driving?

Data as a capture:

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