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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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2.A firm applies a skill test to applicants to fill the vacant Quality Engineer position. The company's Human Resources Manager knows that the talent exam scores of candidates applying for this position have been distributed normally with 35.8 standard deviations in the past years. A sample of “n” was taken from the candidates who applied to the position of Quality Engineer and aptitude test of these candidates The mean score was 167.5. Find and interpret the 90% confidence interval for the average of the talent exam scores of the applicants who apply for the Quality Engineering position. . (n = the last two digits of your student number. If the last two digits are zero, choose as a two-digit number)

Student ID : 2016462176

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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