The local aquarium houses sharks of various species. The distribution of the lengths of the adult female sharks in the aquarium is clearly skewed (not approximately symmetric). The same is true for the distribution of the lengths of the adult male sharks in the aquarium. The aquarium's adult female shark population has a mean length of 4.02 meters and a standard deviation of 0.26 meters. The aquarium's adult male shark population has a mean length of 2.61 meters and a standard deviation of 0.35 meters. Manolo is an adult male shark at the aquarium that is 1.9 meters long, and Emma is an adult female shark at the aquarium that is 3.3 meters long. (a) Find the z-scores of Manolo's length as an adult male shark at the aquarium and Emma's length as an adult female shark at the aquarium. Round your answers to two decimal places. z-score of Manolo's length: z-score of Emma's length: (b) Relative to its population, which is larger? Choose the best answer based on the z-scores of the two lengths. O Manolo O Emma X 3 ? ACO Aa

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The local aquarium houses sharks of various species. The distribution of the lengths of the adult female sharks in the
aquarium is clearly skewed (not approximately symmetric). The same is true for the distribution of the lengths of the adult
male sharks in the aquarium. The aquarium's adult female shark population has a mean length of 4.02 meters and a
standard deviation of 0.26 meters. The aquarium's adult male shark population has a mean length of 2.61 meters and a
standard deviation of 0.35 meters.
Manolo is an adult male shark at the aquarium that is 1.9 meters long, and Emma is an adult female shark at the aquarium
that is 3.3 meters long.
(a) Find the z-scores of Manolo's length as an adult male shark at the aquarium and
Emma's length as an adult female shark at the aquarium. Round your answers to
two decimal places.
z-score of Manolo's length:
z-score of Emma's length:
(b) Relative to its population, which is larger?
Choose the best answer based on the z-scores of the two lengths.
O Manolo
O Emma
O It is unclear which shark is larger relative to its population
McG
X
rved. Terms of Use | Privacy Center | Accessibility
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X
?
Aa
Transcribed Image Text:The local aquarium houses sharks of various species. The distribution of the lengths of the adult female sharks in the aquarium is clearly skewed (not approximately symmetric). The same is true for the distribution of the lengths of the adult male sharks in the aquarium. The aquarium's adult female shark population has a mean length of 4.02 meters and a standard deviation of 0.26 meters. The aquarium's adult male shark population has a mean length of 2.61 meters and a standard deviation of 0.35 meters. Manolo is an adult male shark at the aquarium that is 1.9 meters long, and Emma is an adult female shark at the aquarium that is 3.3 meters long. (a) Find the z-scores of Manolo's length as an adult male shark at the aquarium and Emma's length as an adult female shark at the aquarium. Round your answers to two decimal places. z-score of Manolo's length: z-score of Emma's length: (b) Relative to its population, which is larger? Choose the best answer based on the z-scores of the two lengths. O Manolo O Emma O It is unclear which shark is larger relative to its population McG X rved. Terms of Use | Privacy Center | Accessibility S X ? Aa
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