-d 13 points PriviteraStats2 13.E.025 My Notes Air traffic controllers perform t

Question

-d 13 points PriviteraStats2 13.E.025 My Notes 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 est 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 21 17 15 17 21 19 33 21 20 26 20 13 22 14 14 19 20 13 (a) Complete the F-table. (Round your answers to two decimal places.) Fobt Between groups (error) Total b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.) O There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions. O There are no significant differences between any of the groups. O There is a significant difference in decision making for the 12-hour and 24-hour sleep deprivation conditions. O There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions.

Explanation / Answer

a) F - Table

b) alpha level = 0.05 so we can say that there is significant difference

(i) Option -1 is correct. FOr 12- hour and 48 - hour sleep deprivationFcritical = 4.96 and F - value = 7.5625

so SIgnificant difference in decision makingfor 12- hour and 48- hour sleep deprivation

(ii) Option -2 is incorrect there are significant difference between any of the groups as F- value is greater than Fcritical .

(iii) Option - 3 is incorrect. FOr 12- hour and 24 - hour sleep deprivation Fcritical = 4.96 and F - value = 2.54

so no SIgnificant difference in decision making for 12- hour and 24- hour sleep deprivation.

(iv) Option -4 is correct. FOr 12- hour and 48 - hour sleep deprivationFcritical = 4.96 and F - value = 3.49

so no SIgnificant difference in decision makingfor 24- hour and 48- hour sleep deprivation.

so option -1 is correct.

Source of Variation SS df MS F crit Between Groups 162.3333 2 81.16667 3.68232 Between Persons 127.1667 5 25.4333 Within Groups 125 10 12.5 Total 414.5 17

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