Answered: What percentage of students scored…

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

Rachel received the following scores on the midterm and final examinations in his introductory psychology course. The mean and the standard deviation for each test are given below. Assume that the normal distribution provides a good model for the frequency distribution.

Section	X	M	s
Midterm	40	50	8
Final	90	100	12

What percentage of students scored better than Rachel on the midterm?

*is there any way to not use excel? I would like a more simpler broken down version. I wasn't sure how to breakdown the equation from the previous answer in the photo attached*

10:34 C
= bartleby
E Q&A
Math / Statistics / Q&A Library / Rachel received the follow
Rachel received the following scores on t.
The percentage of students scored better than
Rachel on the midterm is obtained below as
follows:
The required probability is,
P(X >40) =1- P(X < 40)
From EXCEL
=1- P(Z <-1.25)|
NORMSDIST (–1.25)]
=1-0.1057
= 0.8943
The percentage of students scored better than
Rachel on the midterm is 89.43%.(=0.8943)
AA
A bartleby.com

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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