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 Sleep Deprivation 12 Hours 24 Hours 48 Hours 17 20 21 20 13 19 21 18 32 26 16 20 20 12 14 13 20 (a) Complete the F-table. (Round your answers to two decimal places.) Source of Variation Between groups Betweern persons Within groups (error) Total df MS obt (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.

Explanation / Answer

from above data:applying 2 way ANOVA :

a)

b)

there is a significant difference ....12 hour and 48 hour sleep deprivation conditions

there is a significant difference ....12 hour and 24 hour sleep deprivation conditions

Source of Variation SS df MS F between grups 166.78 2.00 83.39 7.28 between persons 118.44 5.00 23.69 2.07 within group(error) 114.56 10.00 11.46 Total 399.78 17.00

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