Answered: Cuckoos Cuckoos lay their eggs in the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Cuckoos Cuckoos lay their eggs in the nests of other
(host) birds. The eggs are then adopted and hatched by

the host birds. But the potential host birds lay eggs of dif-
ferent sizes. Does the cuckoo change the size of her eggs

for different foster species? The numbers in the table are
lengths (in mm) of cuckoo eggs found in nests of three
different species of other birds. The data are drawn from

the work of O.M. Latter in 1902 and were used in a fun-
damental textbook on statistical quality control by L.H.C.

Tippett (1902–1985), one of the pioneers in that field.Investigate the question of whether the mean length of
cuckoo eggs is the same for different species, and state
your conclusion.

Cuckoo Egg Length (MM)
Foster Parent Species
Sparrow Robin Wagtail
20.85 21.05 21.05
21.65 21.85 21.85
22.05 22.05 21.85
22.85 22.05 21.85
23.05 22.05 22.05
23.05 22.25 22.45
23.05 22.45 22.65
23.05 22.45 23.05
23.45 22.65 23.05
23.85 23.05 23.25
23.85 23.05 23.45
23.85 23.05 24.05
24.05 23.05 24.05
25.05 23.05 24.05
23.25 24.85
23.85

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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