1. Calculate the z-score for Baldy's wingspan. 2. Calculate the z-score for Alby's wingspan. 3. Based on the respective distributions, whose wingspan is larger? O A. Impossible to tell without more information. O B. Baldy's O C. Alby's D. They are the same

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The Bald Eagle is the national symbol of the United States and is found all over North America. The wingspan of bald eagles can be modelled by a normal distribution with mean 2.05 meters and standard deviation 0.08 meters.
The Southern Royal Albatross is a large seabird. They are one of the popular tourist attractions in the Otago Peninsula near Dunedin, NZ. The wingspan of southern royal albatrosses can be modelled by a normal distribution
with mean 3.11 meters and standard deviation 0.056 meters.
During their trip to the US, Charles, William and Harry spot a bald eagle called Baldy with a wingspan of 2.25 meters and during their NZ trip they spot a royal albatross called Alby with a wingspan of 3.26 meters.
1. Calculate the z-score for Baldy's wingspan.
2. Calculate the z-score for Alby's wingspan.
3. Based on the respective distributions, whose wingspan is larger?
O A. Impossible to tell without more information.
O B. Baldy's
O C. Alby's
O D. They are the same
4. What proportion of royal albatrosses have wingspan between 2.97 meters and 3.22 meters?
5. What percentage of royal albatrosses have wingspan more than 3.01 meters?
%
6. What is the cutoff for the largest 20% of royal albatrosses wingspans?
Transcribed Image Text:The Bald Eagle is the national symbol of the United States and is found all over North America. The wingspan of bald eagles can be modelled by a normal distribution with mean 2.05 meters and standard deviation 0.08 meters. The Southern Royal Albatross is a large seabird. They are one of the popular tourist attractions in the Otago Peninsula near Dunedin, NZ. The wingspan of southern royal albatrosses can be modelled by a normal distribution with mean 3.11 meters and standard deviation 0.056 meters. During their trip to the US, Charles, William and Harry spot a bald eagle called Baldy with a wingspan of 2.25 meters and during their NZ trip they spot a royal albatross called Alby with a wingspan of 3.26 meters. 1. Calculate the z-score for Baldy's wingspan. 2. Calculate the z-score for Alby's wingspan. 3. Based on the respective distributions, whose wingspan is larger? O A. Impossible to tell without more information. O B. Baldy's O C. Alby's O D. They are the same 4. What proportion of royal albatrosses have wingspan between 2.97 meters and 3.22 meters? 5. What percentage of royal albatrosses have wingspan more than 3.01 meters? % 6. What is the cutoff for the largest 20% of royal albatrosses wingspans?
1. Čalculate the z-score for Baldy's wingspan.
2. Calculate the z-score for Alby's wingspan.
3. Based on the respective distributions, whose wingspan is larger?
O A. Impossible to tell without more information.
O B. Baldy's
O C. Alby's
O D. They are the same
4. What proportion of royal albatrosses have wingspan between 2.97 meters and 3.22 meters?
5. What percentage of royal albatrosses have wingspan more than 3.01 meters?
6. What is the cutoff for the largest 20% of royal albatrosses wingspans?
7. What is the wingspan for a royal albatross with a wingspan at the 10 percentile?
Transcribed Image Text:1. Čalculate the z-score for Baldy's wingspan. 2. Calculate the z-score for Alby's wingspan. 3. Based on the respective distributions, whose wingspan is larger? O A. Impossible to tell without more information. O B. Baldy's O C. Alby's O D. They are the same 4. What proportion of royal albatrosses have wingspan between 2.97 meters and 3.22 meters? 5. What percentage of royal albatrosses have wingspan more than 3.01 meters? 6. What is the cutoff for the largest 20% of royal albatrosses wingspans? 7. What is the wingspan for a royal albatross with a wingspan at the 10 percentile?
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