Answered: During the winter semester of 2021, 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

During the winter semester of 2021, the majority of classes were held online as opposed to in person. A professor decided to pre-record all of his lectures and make them all available so that students could access any of the videos at any time during the semester. Suppose the lengths of these pre-recorded lecture videos follow a normal distribution with a mean length of 57.28 minutes and a standard deviation of 8.887 minutes. Please use this information to answer the following question.

a. Suppose the z-score (standardized score) of a lecture video's length is given as 1.18. Which of the following statements is a correct interpretation of the meaning of this value?

A. The length of this video is 1.18 standard deviations longer than the average length
B. The length of this video is 1.18 minutes longer than the average length
C. The length of this video is 1.18 times longer than the average length
D. There is not enough information provided to interpret this value

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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