Biostats SDS 328M Homework 3
This document contains solved homework for Biostats SDS 328M.
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Biostats SDS 328M Homework 3
1. The wingspans of adult seaside sparrows (Ammodramus maritimus) follow a normal
distribution with a mean of 6.5 inches and a standard deviation of 0.3 inches.
a. Sketch the distribution of seaside sparrow wingspans. Be sure to include labels and an accurate
scale. (2pt)
b. Between which two wingspan measurements are the middle two quartiles of the distribution?
(3pt)
Here, the wingspans of adult seaside sparrows, πΏ ~ π΅πππππ(π = π. π, π = π. π).
Let Q1 is the first quartile of the distribution of wingspans of adult seaside sparrows.
ο P (X β€ Q1) = 0.25
ο P [(X β ΞΌ) / ο³ β€ (Q1 β ΞΌ) / ο³] = 0.25
ο P [Z β€ (Q1 β 6.5) / 0.3] = 0.25 ο (1)
From normal areas table, P [Z β€ β0.67] = 0.25 ο (2)
Comparing (1) and (2) ο [(Q1 β 25) / 4] = β0.67 ο Q1 = 6.55 β 0.67(0.3) = 6.299
1. The wingspans of adult seaside sparrows (Ammodramus maritimus) follow a normal
distribution with a mean of 6.5 inches and a standard deviation of 0.3 inches.
a. Sketch the distribution of seaside sparrow wingspans. Be sure to include labels and an accurate
scale. (2pt)
b. Between which two wingspan measurements are the middle two quartiles of the distribution?
(3pt)
Here, the wingspans of adult seaside sparrows, πΏ ~ π΅πππππ(π = π. π, π = π. π).
Let Q1 is the first quartile of the distribution of wingspans of adult seaside sparrows.
ο P (X β€ Q1) = 0.25
ο P [(X β ΞΌ) / ο³ β€ (Q1 β ΞΌ) / ο³] = 0.25
ο P [Z β€ (Q1 β 6.5) / 0.3] = 0.25 ο (1)
From normal areas table, P [Z β€ β0.67] = 0.25 ο (2)
Comparing (1) and (2) ο [(Q1 β 25) / 4] = β0.67 ο Q1 = 6.55 β 0.67(0.3) = 6.299
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Document Details
University
University of Texas
Subject
Biology