Answered: uring final exam week, Mary had exams…

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

During final exam week, Mary had exams in psychology, art history, and biology. All three distributions had normal distributions.

On which test did Mary do best, relative to her classmates?

On which test did she do worst?

	Psychology	Art History	Biology
Mean	84	37	123
SD	14	8	12
Mary’s Score	90	45	145

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1 - Writing given data

Given that

It follows a normal distribution.

We know that

Whichever Z score is positive and more which is best among given , Which Z score is negative or less in which performed worst.

We know

$Z = \frac{(X - μ)}{σ}$

X= score

$μ$ = Mean

$σ$ = Standard deviation

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