Question 183154: Hi,
Can you please help me solve for this, Doane−Seward: Applied Statistics in Business and Economics, ch. 15:
High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase? (Data are from Capt. Robert E. Hartl, retired.)
Noise Level Climb Cruise Descent Row Total
Low 6 2 6 14
Medium 18 3 8 29
High 1 3 14 18
Col Total 25 8 28 61
(This format is cramming the numbers together to make it easier to read - Noise Level: Low, Climb: 6, Cruise: 2, Descent: 6, Row Total: 14.)
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. A Boeing 727 co-pilot collected 61 noise observations using a handheld sound meter. Noise level is defined as “Low” (under 88 decibels), “Medium” (88 to 91 decibels), or “High” (92 decibels or more). There are three flight phases (Climb, Cruise, Descent). Research question: At α = .05, is the cockpit noise level independent of flight phase
Noise level climb cruise descent row total
low 6 2 6 14
medium 18 3 8 29
high 1 3 14 18
col total 25 8 28 61
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Ho: row and column factors are independent
Ha: they are dependent
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I ran a Chi-Sq. Test on the 3 by 3 array of data.
Test Statistic: Chi-Sq. = 15.160
p-value: 0.004
df: (3-1)(3-1) = 4
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Conclusion:
Since p-value is less than 5%, Reject Ho.
The row and column factors are dependent.
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Cheers,
Stan H.
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