In: Statistics and Probability
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
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 |