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

ID: 3360205 • Letter: S

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.

(a) Complete the F-table. (Round your answers to two decimal places.)


(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 prior to drinking.There were no significant differences between any of the groups.Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test after 1 nonalcoholic drink.Students knocked over significantly more cones after 1 nonalcoholic drink compared with the driving test prior to drinking.

Driving Test Before
Drinking After One
Drink After Five
Drinks 0 1 3 0 1 3 1 2 3 3 2 5 0 2 0

Explanation / Answer

Result:

(a) Complete the F-table. (Round your answers to two decimal places.)

Analysis of Variance

Source

DF

Adj SS

Adj MS

F-Value

P-Value

sub

4

12.267

3.067

2.88

0.095

grp

2

10.133

5.067

4.75

0.044

Error

8

8.533

1.067

Total

14

30.933


(b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.)

Bonferroni Simultaneous Tests for Differences of Means

Difference
of grp
Levels

Difference
of Means

SE of
Difference

Simultaneous
95% CI

T-Value

Adjusted
P-Value

2 - 1

0.800

0.653

(-1.170, 2.770)

1.22

0.767

3 - 1

2.000

0.653

(0.030, 3.970)

3.06

0.047

3 - 2

1.200

0.653

(-0.770, 3.170)

1.84

0.311

Individual confidence level = 98.33%

Answer: Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test prior to drinking.

There were no significant differences between any of the groups

.Students knocked over significantly more cones after 5 nonalcoholic drinks compared with the driving test after 1 nonalcoholic drink.

Students knocked over significantly more cones after 1 nonalcoholic drink compared with the driving test prior to drinking.

Source

DF

Adj SS

Adj MS

F-Value

P-Value

sub

4

12.267

3.067

2.88

0.095

grp

2

10.133

5.067

4.75

0.044

Error

8

8.533

1.067

Total

14

30.933

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