Air traffic controllers perform the vital function of regulating the traffic of passenger planes. Frequently, air...

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Basic Math

Air traffic controllers perform the vital function of regulatingthe traffic of passenger planes. Frequently, air trafficcontrollers work long hours with little sleep. Researchers wantedto test their ability to make basic decisions as they becomeincreasingly sleep deprived. To test their abilities, a sample of 6air traffic controllers is selected and given a decision-makingskills test following 12-hour, 24-hour, and 48-hour sleepdeprivation. Higher scores indicate better decision-making skills.The table lists the hypothetical results of this study.

SleepDeprivation
12Hours24Hours48Hours
241817
192321
352323
282114
231517
222215

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

Source of
Variation
SSdfMSFobt
Between
groups
Between
persons
Within
groups (error)
Total

2.) Seasonal affective disorder (SAD) is a type of depressionduring seasons with less daylight (e.g., winter months). Onetherapy for SAD is phototherapy, which is increased exposure tolight used to improve mood. A researcher tests this therapy byexposing a sample of SAD patients to different intensities of light(low, medium, high) in a light box, either in the morning or atnight (these are the times thought to be most effective for lighttherapy). All participants rated their mood following this therapyon a scale from 1 (poor mood) to 9 (improvedmood). The hypothetical results are given in the followingtable.

Light Intensity
LowMediumHigh
Timeof
Day
Morning557
668
446
779
594
688
Night469
887
676
758
497
386

(a) Complete the F-table and make a decision to retainor reject the null hypothesis for each hypothesis test. (Round youranswers to two decimal places. Assume experimentwise alpha equal to0.05.)

Source of
Variation
SSdfMSF
Time ofday
Intensity
Timeof
day ×
Intensity
Error
Total

Compute Tukey's HSD to analyze the significant main effect.

The critical value is  for each pairwisecomparison.


Summarize the results for this test using APA format.

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