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 21 17 15 17 20 19 20 25 19 12 19 19 13 (a) Complete the F-table. (Round your answers to two decimal places.) Source of Fobt df MS Variation 127.11 X 5.00 X 25.42X 2.10 X groups 2.00 X 152.44 X 76.22 X persons Within 11.62 X 10.00 groups (error) 116.22 395.78 X 17.00 Total (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 12-hour and 24-hour sleep deprivation conditions. 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 d conditions. There is a significant difference in decision making for the 12-hour and 48-hour sleep deprivation conditions.

Answer 1

A)

Apply two way ANOVA for the above data using excel:

Source of variation	ss	df	MS	F
between groups	163.11	2	81.55	7.44
between persons	142.27	5	28.45	2.59
Error	109.55	10	10.95
Total	414.94	17

B)

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