Answered: You are deciding whether or to take…

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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You are deciding whether or to take Professor Smith or Professor Jones' advanced statistics class next semester. You know their grading range is the same 100 90 A, 89 80 B, 79 70 C, 69-60 D and failing is below 60. Both Professor's grades are distributed normally with Professor Smith's mean is 74 and standard deviation is 8.1 while Professor Jones' mean is 80 and standard deviation is 16.9.

a.) which professor gives a higher proportion of A's? (i.e., you should take this professor's class)

b.) which professor gives a higher proportion of F's? (i.e. you should avoid this professor's class)

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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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