Air traffic controllers perform the vital function of regulating the traffic of
ID: 3243163 • Letter: A
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.)
Sleep Deprivation 12 Hours 24 Hours 48 Hours 23 18 18 19 23 21 35 24 22 27 21 15 24 16 16 22 21 15Explanation / Answer
a) F-table obtained as follows.
Source of variation
SS
df
MS
Fobt
Between groups
157.44
2
78.72
4.79
Between persons
73.67
5
14.73
Within groups (error)
246.33
15
16.42
Total
403.78
17
Steps to obtain this :
1. Enter the data into Excel.
2. Select the Data tab and select Data Analysis.
3. Click on ANOVA : Single Factor - Select OK - In the input range box, select the entire data - Grouped by Columns - If labels are present in the first row, tick the box - Select OK.
We get the between group amd within group SS, MS, df and F.
For between persons case :
1. Select the Data tab and select Data Analysis.
3. Click on ANOVA : Two Factor without replication - Select OK - In the input range box, select the entire data - If labels are present in the first row, tick the box - Select OK.
We get the row and column SS, MS, df and F.
Row SS, df , MS gives the between persons SS, df, MS.
Source of variation
SS
df
MS
Fobt
Between groups
157.44
2
78.72
4.79
Between persons
73.67
5
14.73
Within groups (error)
246.33
15
16.42
Total
403.78
17
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