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 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 17 16 18 21 21 34 23 21 26 20 14 23 14 15 20 20 14

Explanation / Answer

a)

b)

H0: There is no significance difference between means of all the groups

H1: there is a significance difference between means of all the groups

alpha:5%

Test statistic:

F c al=4.56

P value= 0.028 <0.05, we reject the H0.

Hence There is a significant difference in decision making for the 24-hour and 48-hour sleep deprivation conditions.

Anova: Single Factor SUMMARY Groups Count Sum Average Variance 12 Hours 6 144 24 31.6 24 Hours 6 115 19.16667 10.16667 48 Hours 6 101 16.83333 10.96667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 160.3333 2 80.16667 4.560683 0.028358 3.68232 Within Groups 263.6667 15 17.57778 Total 424 17

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