Air traffic controllers perform the vital function of regulating the traffic of
ID: 3178641 • 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.)
Sleep Deprivation 12 Hours 24 Hours 48 Hours 21 16 16 18 21 20 33 22 20 26 19 13 22 13 14 20 20 13Explanation / Answer
Result:
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.
ANOVA table
Source
SS
df
MS
F
p-value
Between groups
166.78
2
83.39
7.03
.0124
Between persons
140.28
5
28.06
2.37
.1154
Error
118.56
10
11.86
Total
425.61
17
Randomized blocks ANOVA
Mean
n
Std. Dev
23.333
6
5.428
12 Hours
18.500
6
3.391
24 Hours
16.000
6
3.286
48 Hours
17.667
3
2.887
Block 1
19.667
3
1.528
Block 2
25.000
3
7.000
Block 3
19.333
3
6.506
Block 4
16.333
3
4.933
Block 5
17.667
3
4.041
Block 6
19.278
18
5.004
Total
ANOVA table
Source
SS
df
MS
F
p-value
Between groups
166.78
2
83.389
7.03
.0124
Between persons
140.28
5
28.056
2.37
.1154
Error
118.56
10
11.856
Total
425.61
17
Between groups, calculated F=7.03, P=0.0124 which is < 0.05 level, significant.
Between persons, calculated F=2.37, P=0.1154 which is > 0.05 level, Not significant
ANOVA table
Source
SS
df
MS
F
p-value
Between groups
166.78
2
83.39
7.03
.0124
Between persons
140.28
5
28.06
2.37
.1154
Error
118.56
10
11.86
Total
425.61
17
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