Air traffic controllers perform the vital function of regulating the traffic of

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.

12 Hours:
23
19
33
27
23
20

24 hours:
18
21
22
20
14
21

48 hours:
17
21
22
13
15
14

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

Source of Variation.     SS.      df.      MS.     Fobt
Between groups
Between persons
within groups (error)
Total

b) Compute a bonferroni procedure and interpret the results. (Assume experimentwise alpha level equal to 0.05. Select all that apply.)
1. There are no significant differences between any of the groups.
2. There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.
3. There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions.
4. There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions.

Explanation / 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.

12 Hours:
23
19
33
27
23
20

24 hours:
18
21
22
20
14
21

48 hours:
17
21
22
13
15
14

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

Source of Variation.     SS.      df.      MS.     Fobt
Between groups
Between persons
within groups (error)
Total

b) Compute a bonferroni procedure and interpret the results. (Assume experimentwise alpha level equal to 0.05. Select all that apply.)
1. There are no significant differences between any of the groups.
2. There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.
3. There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions.
4. There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions.

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