A linguist is interested in the average lengths of words in different languages. She uses an article translated into three languages (French, English and Indonesian) to compare word lengths. Do these data provide evidence that the mean word length differs between French and English? Evaluate the evidence at a 10% significance level.Calculate a 95% confidence interval for the difference in mean word length between English and Indonesian and interpret its meaning.Outline the assumptions which are necessary in calculating the confidence interval in Q2. Word lengthFrenchEnglishIndonesianTous4All3Semua5les3humanorang5êtres5beingsdilahirkan10humains7aremerdeka7naissent8born4dan3libresfree4mempunyaiet2and3martabat8égauxequal5dan3en2in2hak-hakdignité7dignity7yang4et2andsama.4rights.Theyen2Mereka6.droits.6.4dikaruniai10Ils3areakal4sont4endoweddan3doués5with4hati4dereasonnurani5raisonand3dan3et2conscience10hendaknya9de2and3bergaul7conscience10shouldsatu4et2act3sama4doivent7towards7lain4agir4one3dalamles3another7semangat8uns3in2persaudaraal12enversspiritofles36autres6dans4brotherhood11un2espritdefraternité.102.6.3.3.3.7.6.

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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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A linguist is interested in the average lengths of words in different languages. She uses an article translated into three languages (French, English and Indonesian) to compare word lengths.

Do these data provide evidence that the mean word length differs between French and English? Evaluate the evidence at a 10% significance level.
Calculate a 95% confidence interval for the difference in mean word length between English and Indonesian and interpret its meaning.
Outline the assumptions which are necessary in calculating the confidence interval in Q2.

Word length
French
English
Indonesian
Tous
4
All
3
Semua
5
les
3
human
orang
5
êtres
5
beings
dilahirkan
10
humains
7
are
merdeka
7
naissent
8
born
4
dan
3
libres
free
4
mempunyai
et
2
and
3
martabat
8
égaux
equal
5
dan
3
en
2
in
2
hak-hak
dignité
7
dignity
7
yang
4
et
2
and
sama.
4
rights.
They
en
2
Mereka
6.
droits.
6.
4
dikaruniai
10
Ils
3
are
akal
4
sont
4
endowed
dan
3
doués
5
with
4
hati
4
de
reason
nurani
5
raison
and
3
dan
3
et
2
conscience
10
hendaknya
9
de
2
and
3
bergaul
7
conscience
10
should
satu
4
et
2
act
3
sama
4
doivent
7
towards
7
lain
4
agir
4
one
3
dalam
les
3
another
7
semangat
8
uns
3
in
2
persaudaraal
12
envers
spirit
of
les
3
6
autres
6
dans
4
brotherhood
11
un
2
esprit
de
fraternité.
10
2.
6.
3.
3.
3.
7.
6.

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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