High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. Cockpit noise in a jet aircraft is mostly due to airflow at hundreds of miles per hour. This 3 x 3 contingency table shows 61 observations of da collected by an airline pilot using a handheld sound meter in a certain aircraft cockpit. 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). Cockpit Noise Flight Phase Cruise (C) Noise Level CLimb (B) Descent (D) ROw Total Low (L) Medium (M) High (H) 2. 4 14 17 31 21 11 16 Column TotaL 27 13 21 61 Click here for the Excel Data File (a) Calculate the following probabilities: (Round your answers to 4 declmal places.) P(B) H.P(L) P(H|C) 0.4426 0.2205 0.2308 iv. P(HID) V. P(L and B) vi. P(L and C) (b) Do you see evidence that noise level depends on flight phase? O Yes O No

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**High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. Cockpit noise in a jet aircraft is mostly due to airflow at hundreds of miles per hour. This 3 × 3 contingency table shows 61 observations of data collected by an airline pilot using a handheld sound meter in a certain aircraft cockpit. 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).**

|              | Flight Phase                |                                |    |            |  
|--------------|-----------------------------|--------------------------------|----|------------|
| Noise Level  | Climb (B)                   | Cruise (C)                     | Descent (D) | Row Total |
| Low (L)      | 10                          | 2                              | 2  | 14         |
| Medium (M)   | 15                          | 8                              | 8  | 31         |
| High (H)     | 2                           | 3                              | 11 | 16         |
| Column Total | 27                          | 13                             | 21 | 61         |

*Click here for the Excel Data File*

**(a) Calculate the following probabilities: (Round your answers to 4 decimal places.)**

i.   P(B) = 0.4426  
ii.  P(L) = 0.2295  
iii. P(H | C) = 0.2308  
iv.  P(H | D)  
v.   P(L and C)  

**(b) Do you see evidence that noise level depends on flight phase?**

- Yes
- No
Transcribed Image Text:**High levels of cockpit noise in an aircraft can damage the hearing of pilots who are exposed to this hazard for many hours. Cockpit noise in a jet aircraft is mostly due to airflow at hundreds of miles per hour. This 3 × 3 contingency table shows 61 observations of data collected by an airline pilot using a handheld sound meter in a certain aircraft cockpit. 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).** | | Flight Phase | | | | |--------------|-----------------------------|--------------------------------|----|------------| | Noise Level | Climb (B) | Cruise (C) | Descent (D) | Row Total | | Low (L) | 10 | 2 | 2 | 14 | | Medium (M) | 15 | 8 | 8 | 31 | | High (H) | 2 | 3 | 11 | 16 | | Column Total | 27 | 13 | 21 | 61 | *Click here for the Excel Data File* **(a) Calculate the following probabilities: (Round your answers to 4 decimal places.)** i. P(B) = 0.4426 ii. P(L) = 0.2295 iii. P(H | C) = 0.2308 iv. P(H | D) v. P(L and C) **(b) Do you see evidence that noise level depends on flight phase?** - Yes - No
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