Air traffic controllers perform the vital function of regulating the traffic of
ID: 3179679 • 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 24-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 48-hour sleep deprivation conditions. There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions. You may need to use the appropriate table in Appendix B to answer this question. Follow the steps for computing the one-way within-subjects ANOVA (Section 13.4) and post hoc test (Section 13.5).Explanation / Answer
Answer:
a).
Randomized blocks ANOVA
Mean
n
Std. Dev
22.833
6
5.419
12hours
18.500
6
3.332
24hours
16.000
6
2.828
48hours
17.667
3
3.786
Block 1
18.667
3
1.528
Block 2
24.667
3
6.429
Block 3
19.667
3
6.506
Block 4
16.333
3
4.163
Block 5
17.667
3
3.215
Block 6
19.111
18
4.764
Total
ANOVA table
Source
SS
df
MS
F
p-value
Between groups
143.44
2
71.72
6.37
.0164
Between persons
129.78
5
25.96
2.31
.1222
Error
112.56
10
11.26
Total
385.78
17
b).
There is a significant difference in decision making for 12 hour and 48 hour sleep deprivation conditions.
Randomized blocks ANOVA
Mean
n
Std. Dev
22.833
6
5.419
12hours
18.500
6
3.332
24hours
16.000
6
2.828
48hours
17.667
3
3.786
Block 1
18.667
3
1.528
Block 2
24.667
3
6.429
Block 3
19.667
3
6.506
Block 4
16.333
3
4.163
Block 5
17.667
3
3.215
Block 6
19.111
18
4.764
Total
ANOVA table
Source
SS
df
MS
F
p-value
Between groups
143.44
2
71.72
6.37
.0164
Between persons
129.78
5
25.96
2.31
.1222
Error
112.56
10
11.26
Total
385.78
17
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