Consider an experiment to determine the effects of alcohol and marijuana on driving. Five randomly selected subjects are given alcohol to produce legal drunkenness and then are given a simulated...

Consider an experiment to determine the effects of alcohol and marijuana on driving. Five randomly selected subjects are given alcohol to produce legal drunkenness and then are given a simulated driving test (scored from a top score of 10 to a bottom score of 0). Five different randomly selected subjects are given marijuana and then the same driving test. Finally, a control group of five subjects is tested for driving while sober. The driving test scores and the One-Way ANOVA table for these data are shown below. Test the hypothesis that there is a difference among the means of the three groups at 1% significance level.

The following is the summary statistics for the table above generated from an Excel one-way ANOVA analysis:

Based on the Excel output, does there appear to be a difference between the means of the three groups at a 1% significance level?


LetGroup 1 = Alcohol,Group 2 = Drugs andGroup 3 = Control so that:

• 
  μ1= mean for the Alcohol group
  


• 
  μ2= mean for the Drugs group
  


• 
  μ3= mean for the Control group
  

round your answer to 5 decimal places.

1. What is the test P-value that should be used in your hypothesis test?

2. Compute 99%
Bonferroni simultaneous confidence interval for each possible pair of treatments formultiple comparisons.  Report the interval (rounded to 2 decimal places) for each pair.

CompareAlcohol versusDrugs:   ____<><>
CompareAlcohol versusContorl:   ____<><>
CompareDrugs versusControl:   ____<><>