Answered: d) For all the possible samples,…

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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Consider a population of 5 literature students. Each student was assigned a final paper assignment. For each student (S1 for student 1, S2 for student 2, etc.), the number of pages the student wrote for his/her paper is listed below:

S1 = 58

S2 = 61

S3 = 61

S4 = 43

S5 = 74

(c)All the possible samples of size n=2 are listed in the first column of the table below. For all the possible samples, calculate the sample mean and put that value in the second column. Do not round any quantities.

(d) For all the possible samples, calculate the sampling error, and put that value in the third column.

Samples of size n=2	Sample means	Sampling errors
58, 61
58, 61
58, 43
58, 74
61, 61
61, 43
61, 74
61, 43
61, 74
43, 74

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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