Answered: The combined SAT scores for the…

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

The combined SAT scores for the students at a local high school are normally distributed with a mean of 1478 and a standard deviation of 292. The local college includes a minimum score of 689.6 in its admission requirements.

What percentage of students from this school earn scores that satisfy the admission requirement?

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: Given information

$N o r m a l space d i s t r i b u t i o n P o p u l a t i o n space m e a n space colon space mu space equals space 1478 P o p u l a t i o n space s tan d a r d space d e v i a t i o n space colon space sigma space equals space 292 m i n i m u m space r e q u i r e d space s c o r e space f o r space a d m i s s i o n space equals space 689.6 p e r c e n t a g e space o f space s t u d e n t s space f r o m space t h i s space s c h o o l space e a r n space s c o r e s space t h a t space s a t i s f y space t h e space a d m i s s i o n space r e q u i r e m e n t space equals space ? space$