DEFINE THE SAMPLING DISTRIBUTION OF THE SAMPLE MEAN FOR NORMAL POPULATION WHEN THE VARIANCE IS KNOWN AND UNKOWN. 4. The owner of the drugstore N=chain has 100 drugstoresthatsellFlexcoslow,asurgical mask that prevents 0 EndPg Dnfromcatchingpersonliquid droplets of viruses.His operation manager saidthat the average drugstoresin his chain sell 12 boxes ofthe Flexcoslow a day with aa%3DS =deviationstandardboxes. To find out if this isoftrue, the owner randomlyselected10storesandfound that the mean is 15boxesdeviation of 1 box.withastandard5. Thestudentsmean height of theMaligayaisn =atX =Elementary137.16 cm. To find out if thestatement is true, a sampleof 15 students is taken fromSchoolthe population. The mean ofthe sample is 139.1 cm witha standard deviation of 2.23tocm.4. How did you find the activity?5. How does each situation differ from each other?6. What is the difference between the two symbols ox and s in finding thestandard error of the mean?

Standard deviation is the measure of dispersion which used to measure the deviation of data from the…

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Intermediate Algebra

19th Edition

ISBN:9780998625720

Author:Lynn Marecek

Publisher:Lynn Marecek

Chapter12: Sequences, Series And Binomial Theorem

Section12.3: Geometric Sequences And Series

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DEFINE THE SAMPLING DISTRIBUTION OF THE SAMPLE MEAN FOR NORMAL POPULATION WHEN THE VARIANCE IS KNOWN AND UNKOWN.

4. The owner of the drugstore N=
chain has 100 drugstores
that
sell
Flexcoslow,
a
surgical mask that prevents 0

End
Pg Dn
from
catching
person
liquid droplets of viruses.
His operation manager said
that the average drugstores
in his chain sell 12 boxes of
the Flexcoslow a day with a
a
%3D
S =
deviation
standard
boxes. To find out if this is
of
true, the owner randomly
selected
10
stores
and
found that the mean is 15
boxes
deviation of 1 box.
with
a
standard
5. The
students
mean height of the
Maligaya
is
n =
at
X =
Elementary
137.16 cm. To find out if the
statement is true, a sample
of 15 students is taken from
School
the population. The mean of
the sample is 139.1 cm with
a standard deviation of 2.23
to
cm.
4. How did you find the activity?
5. How does each situation differ from each other?
6. What is the difference between the two symbols ox and s in finding the
standard error of the mean?

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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