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Air traffic controllers perform the vital function of regulating the traffic of

ID: 3306536 • 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. Sleep Deprivation 12 Hours 24 Hours 48 Hours 22 16 15 18 20 20 32 22 20 25 19 12 21 13 14 19 20 14 (a) Complete the F-table. (Round your answers to two decimal places.) Source of Variation SS df MS Fobt Between groups 151 Correct: Your answer is correct. 2 Correct: Your answer is correct. 75.50 Correct: Your answer is correct. 4.70 Incorrect: Your answer is incorrect. Between persons 151 Incorrect: Your answer is incorrect. 2 Incorrect: Your answer is incorrect. 151 Incorrect: Your answer is incorrect. Within groups (error) 241 Incorrect: Your answer is incorrect. 17 Incorrect: Your answer is incorrect. 16.07 Incorrect: Your answer is incorrect. Total 392 Correct: Your answer is correct. 22 Incorrect: Your answer is incorrect. (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. Incorrect: Your answer is incorrect.

Explanation / Answer

Answer:

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

12Hours 24Hours 48Hours

22 16 15

18 20 20

32 22 20

25 19 12

21 13 14

19 20 14

ANOVA

Sources

SS

df

MS

F

Groups

151.00

2

75.50

7.10

Between persons

134.67

5

26.93

2.53

Error

106.33

10

10.63

Total

392.00

17

(b) Compute a Bonferroni procedure and interpret the results. (Assume experimentwise alpha equal to 0.05. Select all that apply.)

Answer: 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. Incorrect: Your answer is incorrect.

Pairwise Comparisons

Measure:   MEASURE_1

(I) factor1

(J) factor1

Mean Difference (I-J)

Std. Error

Sig.a

95% Confidence Interval for Differencea

Lower Bound

Upper Bound

1

2

4.500

1.996

.222

-2.553

11.553

3

7.000

2.206

.074

-.796

14.796

2

1

-4.500

1.996

.222

-11.553

2.553

3

2.500

1.335

.360

-2.220

7.220

3

1

-7.000

2.206

.074

-14.796

.796

2

-2.500

1.335

.360

-7.220

2.220

Based on estimated marginal means

a. Adjustment for multiple comparisons: Bonferroni.

ANOVA

Sources

SS

df

MS

F

Groups

151.00

2

75.50

7.10

Between persons

134.67

5

26.93

2.53

Error

106.33

10

10.63

Total

392.00

17

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