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.

Sleep Deprivation
12 Hours	24 Hours	48 Hours
23	17	16
18	22	20
34	22	21
27	21	14
22	14	16
20	20	15

(a) Complete the F-table. (Round your answers 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 equal to 0.05. Select all that apply.)

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 12-hour and 48-hour sleep deprivation conditions.There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions.

Answer 1

(a)

p-value corresponding groups=0.019<0.05 so groups are significantly different however there is no variation in different persons (since p-value=0.146>0.05).

Hence there is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.