Answered: (a) Find the -scores of Diane's…

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

For admission to graduate school, Diane is taking the physics subject-matter test, and Lena is taking the chemistry subject-matter test. For each of these tests, the distribution of scores is clearly bell-shaped. Scores for the physics test have a population mean of 631 points with a standard deviation of 26 points. Scores for the chemistry test have a population mean of 608 points with a standard deviation of 35 points.

Diane scored 695 on the physics test, and Lena scored 667 on the chemistry test.

(a) Find the -scores of Diane's performance as a score on the physics test and Lena's performance as a score on the chemistry
test. Round your answers to two decimal places.
E-score of Diane's score: I
E-score of Lena's score:||
(b) Relative to her population, who scored lower?
Choose the best answer based on the -scores of the two test scores.
O Diane
O Lena
O It is unclear who scored lower relative to her 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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