Answered: It is known that the scores of an exam…

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

It is known that the scores of an exam vary in a certain population with values according to a normal distribution of unknown mean and standard deviation. In a sample of 20 grades from this population, the following results were obtained:

a. Considering the 99.5% two-sided confidence interval for the mean exam score of a certain population, what is the lower bound of this interval?
b. Considering the two-sided 99.5% confidence interval for the mean exam score of a certain population, what is the upper limit of this interval?
c. With the information obtained in this sample, calculate what would be the margin of error of a 99.8% confidence interval for the mean score on the exam of a certain population.

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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