Compute for the mean (??̅) and standard deviation (??̅) of the sampling distribution of the sample means and compare these to the mean and standard deviation of the population. XX-u(x-μ)^2POPULATION59-39µ, mean6260-24variance461-11SD2626311644population7653.9.sample size4287C4 Mean (x)FrequencyP(x)60.510.02857142960.750.0285714296120.05714285761.2530.08571428661.540.11428571461.7540.114285714620.14285714362.2540.11428571462.540.11428571462.7530.085714286630.05714285763.250.057142857total 351

Population mean and standard deviation is computed by μ=∑fx∑f and σ=∑fx-μ2∑f, respectively, where x…

Answered: Mean (x) Frequency P(x) 60.5 1…

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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Compute for the mean (?_?̅) and standard deviation (?_?̅) of the sampling distribution of the sample means and compare these to the mean and standard deviation of the population.

X
X-u
(x-μ)^2
POPULATION
59
-3
9
µ, mean
62
60
-2
4
variance
4
61
-1
1
SD
2
62
63
1
1
64
4
population
7
65
3.
9.
sample size
4
28
7C4

Mean (x)
Frequency
P(x)
60.5
1
0.028571429
60.75
0.028571429
61
2
0.057142857
61.25
3
0.085714286
61.5
4
0.114285714
61.75
4
0.114285714
62
0.142857143
62.25
4
0.114285714
62.5
4
0.114285714
62.75
3
0.085714286
63
0.057142857
63.25
0.057142857
total 35
1

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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