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

ID: 3055006 • Letter: A

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.

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


(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 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.

Sleep Deprivation 12 Hours 24 Hours 48 Hours 23 18 17 19 23 21 35 23 22 28 22 15 24 15 16 21 22 15

Explanation / Answer

a)

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance 3 58 19.33333333 10.33333333 3 63 21 4 3 80 26.66666667 52.33333333 3 65 21.66666667 42.33333333 3 55 18.33333333 24.33333333 3 58 19.33333333 14.33333333 12 Hours 6 150 25 33.2 24 Hours 6 123 20.5 10.7 48 Hours 6 106 17.66666667 9.466666667 ANOVA Source of Variation SS df MS F P-value F crit between persons 135.6111111 5 27.12222222 2.066892464 0.153754978 3.32583453 between groups 164.1111111 2 82.05555556 6.253175275 0.017317078 4.102821015 Error 131.2222222 10 13.12222222 Total 430.9444444 17
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