Air traffic controllers perform the vital function of regulating the traffic of
ID: 3263007 • 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 24-hour sleep deprivation conditions. There are no significant differences between any of the groups. There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions. There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.
Sleep Deprivation 12 Hours 24 Hours 48 Hours 22 17 16 18 22 21 33 23 22 27 20 14 23 15 15 21 20 15Explanation / Answer
Answer:
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.
MINITAB used:
Analysis of Variance
Source
DF
Adj SS
Adj MS
F-Value
P-Value
time
2
144.8
72.39
6.79
0.014
person
5
137.8
27.56
2.59
0.094
Error
10
106.6
10.66
Total
17
389.1
Comparisons for score
Bonferroni Pairwise Comparisons: time
Grouping Information Using the Bonferroni Method and 95% Confidence
time
N
Mean
Grouping
12hour
6
24.0000
A
24hour
6
19.5000
A
B
48hour
6
17.1667
B
Means that do not share a letter are significantly different.
There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions. There are no significant differences between any of the groups.
There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions. Answer: There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.
Source
DF
Adj SS
Adj MS
F-Value
P-Value
time
2
144.8
72.39
6.79
0.014
person
5
137.8
27.56
2.59
0.094
Error
10
106.6
10.66
Total
17
389.1
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