Question

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.

12hr 24hr 48hr

24 19 17

19 22 22

35 23 23

28 22 15

24 16 16

32 21 15

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

Source of Variation ss df MS F

Between Groups

Between persons

within groups (error)

Total

Solutions

Expert Solution

Using Minitab Software (Stat -> Basic Statistics -> ANOVA -> One Way), we get

a) The complete F table is :

Source DF Sum of Squares Mean Sum of Squares F value p-value
Hours 2 259 129.5 7.21 0.006
Error 15 269.5 17.97
Total 17 528.5

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