The effects of mind-altering products (alcohol intake and medication) on aggressive driving are studied in a...

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  1. The effects of mind-altering products (alcohol intake andmedication) on aggressive driving are studied in a group ofindividuals who drink regularly and take prescription medication.Thirty individuals are assigned based on to their respectivegroups: either a placebo group (those who do not drink or takemedication), medication group (whose members regularly takemedication), and alcohol group (whose members regularly drink) whowill receive an ounce of alcohol 30 minutes before the drivingsimulation test is given. The dependent variable is the number ofcrashes during the 5-minute driving simulation. Determine whetheror not there is a significant difference with at least one group.If you reject the null hypothesis, tell what it means in thecontext of the problem. Include the statistical sentence.

(Use p=.05 or 5%).

Alcohol          Medication     Placebo

10                   7                     5

15                   7                     3

12                   5                     2

8                     8                     4

5                     10                   6                     

21                   13                   5

10                   12                   1

11                   11                   2

13                   11                   5

20                   15                   2

Answer & Explanation Solved by verified expert
3.7 Ratings (274 Votes)

Hypothesis:

Ho : There is a no significant difference with these groups.

V/s

H1 : There is a significant difference with at least one group.

using Excel Data Analysis tool pack

Excel => Data => Data Analysis => Anova: Single Factor => select input range => Labels => output range => ok

Alcohol Medication Placebo
10 7 5
15 7 3
12 5 2
8 8 4
5 10 6
21 13 5
10 12 1
11 11 2
13 11 5
20 15 2
Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Alcohol 10 125 12.5 25.16667
Medication 10 99 9.9 9.655556
Placebo 10 35 3.5 2.944444
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 429.0667 2 214.5333 17.04148 1.63E-05 3.354131
Within Groups 339.9 27 12.58889
Total 768.9667 29

Here p-value = 0.0000163 or 1.63E-05 < alpha =0.05 then we reject Ho.

Conclusion : with 0.05 level of significance we conclude that ,there is a significant difference with at least one group.


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