Some studies show that people who think they are intoxicated will show signs of

Question

Some studies show that people who think they are intoxicated will show signs of intoxication, even if they did not consume alcohol. To test whether this is true, researchers had a group of five adults consume nonalcoholic drinks, which they were told contained alcohol. The participants completed a standard driving test before drinking and then after one nonalcoholic drink and after five nonalcoholic drinks. A standard driving test was conducted in a school parking lot where the participants had to maneuver through traffic cones. The number of cones knocked over during each test was recorded. The following table lists the data for this hypothetical study. Driving Test Before Drinking After One Drink After Five Drinks 0 0 3 0 1 2 1 2 3 3 2 5 0 1 0 (a) Complete the F-table. (Round your answers to two decimal places.) Source of Variation SS df MS Fobt Between groups Between persons Within groups (error) Total (b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.) Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test after 1 nonalcoholic drink. There were no significant differences between any of the groups. Students knocked over significantly more cones after 1 nonalcoholic drink compared with the driving test prior to drinking. Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test prior to drinking.

Explanation / Answer

Before 0 0 3 0 1 After 1 drink 2 1 2 3 3 After 5 drink 2 5 0 1 0 Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance Before 5 4 0.8 1.7 After 1 drink 5 11 2.2 0.7 After 5 drink 5 8 1.6 4.3 3 4 1.333333333 1.333333333 3 6 2 7 3 5 1.666666667 2.333333333 3 4 1.333333333 2.333333333 3 4 1.333333333 2.333333333 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 4.933333333 2 2.466666667 0.766839378 0.495813 4.45897 Between person 1.066666667 4 0.266666667 0.082901554 0.985383 3.837853 erro 25.73333333 8 3.216666667 Total 31.73333333 14

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