Mario scored 82 on his history final. The class mean was 78 with a standard deviation of 3 points. He scored 72 on his biology final with a mean score of 65 and a standard deviation of 5 points. Which grade was better compared with the class mean referencing a normal distribution? a.The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33. b.The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.33 and 1.4. c.The history test is better. The z-scores for the biology exam and the history exam respectively are 1.33and 1.4. d.The history test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.

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Answered: Mario scored 82 on his history final.…

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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Mario scored 82 on his history final. The class mean was 78 with a standard deviation of 3 points. He scored 72 on his biology final with a mean score of 65 and a standard deviation of 5 points. Which grade was better compared with the class mean referencing a normal distribution?

	a.	The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.
	b.	The biology test is better. The z-scores for the biology exam and the history exam respectively are 1.33 and 1.4.
	c.	The history test is better. The z-scores for the biology exam and the history exam respectively are 1.33and 1.4.
	d.	The history test is better. The z-scores for the biology exam and the history exam respectively are 1.4 and 1.33.

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.

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