Air traffic controllers perform the vital function of regulating the traffic of
ID: 3294080 • Letter: A
Question
Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air traffic controllers work long hours with little sleep. Researchers wanted to test their ability to make basic decisions as they become increasingly sleep deprived. To test their abilities, a sample of 6 air traffic controllers is selected and given a decision-making skills test following 12-hour, 24-hour, and 48-hour sleep deprivation. Higher scores indicate better decision-making skills. The table lists the hypothetical results of this 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.)
There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.There are no significant differences between any of the groups.There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions.There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions.
Sleep Deprivation 12 Hours 24 Hours 48 Hours 22 18 16 19 21 20 34 22 21 27 20 14 22 15 16 20 20 15Explanation / Answer
Part-a
Competed table is as follows
Source of
Variation
SS
df
MS
Fobt
p-value
Between
groups
152.44
2
76.22
7.41
0.011
Between
persons
126.44
5
25.29
2.46
0.106
Within
groups (error)
102.89
10
10.29
Total
381.78
17
Part-b
Results are as follows from where we choose the following option:
There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions
Bonferroni Simultaneous Tests for Differences of Means
Difference of Sleep
Deprivation Levels
Difference
of Means
SE of
Difference
Simultaneous
95% CI
T-Value
Adjusted
P-Value
24 Hours - 12 Hours
-4.67
1.85
(-9.98, 0.65)
-2.52
0.091
48 Hours - 12 Hours
-7.00
1.85
(-12.32, -1.68)
-3.78
0.011
48 Hours - 24 Hours
-2.33
1.85
(-7.65, 2.98)
-1.26
0.709
Individual confidence level = 98.33%
Source of
Variation
SS
df
MS
Fobt
p-value
Between
groups
152.44
2
76.22
7.41
0.011
Between
persons
126.44
5
25.29
2.46
0.106
Within
groups (error)
102.89
10
10.29
Total
381.78
17
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