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In: Statistics and Probability

Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...

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
24 18 18
20 22 22
35 24 22
28 21 14
24 15 16
22 22 16

(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 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.

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.

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