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.

(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 24-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.

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 19 18 19 23 21 34 23 22 28 22 15 23 16 17 22 22 16

Explanation / Answer

Solution:

a.

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

Using megastat software, the output is as follows:-

ANOVA table Source SS    df MS F Treatments 135.11 2 67.556 5.98 Blocks 107.61 5 21.522 1.91 Error 112.89 10 11.289 Total 355.61 17

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