Answered: Felipe and John each graduated from…

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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Question

See picture for questions A and B

Problem

Felipe and John each graduated from college last year and got entry-level positions. Felipe got an entry-level position as a software engineer with a salary of $59,416, and John got an entry-level position as a nurse with a salary of $78,633.

Last year, the distributions of entry-level salaries were clearly bell-shaped for software engineers and for nurses. That year, the entry-level salary of software engineers had a population mean of $63,000 and a standard deviation of $2200, and the entry-level salaries of nurses had a population mean of $71,000 and a standard deviation of $2700.

(a) Find the =-scores of Felipe's entry-level salary as a software engineer and John's entry-level salary as a nurse. Round your
answers to two decimal places.
E-score of Felipe's salary:
-score of John's salary:
(b) Relative to his population, who got the higher salary?
Choose the best answer based on the =-scores of the two salaries.
O Felipe
O John
OIt is unclear who got the higher salary relative to his population

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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