Answered: In a data management exam, the scores…

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

In a data management exam, the scores of 567 participants followed a continuous normal distribution. It is known that the mean from all of the students is 75, and to reach the top 1%, students need to score more than (exactly) 92.

a) Estimate the number of students who scored between 60 and 70.

b) 10 students are good friends. After knowing each other’s marks, they came up with a 95% confidence interval of 65 ± 12 for the population mean. Can you conclude that, with a 90% confidence level, that these students performed worse than average?

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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