Answered: The sardines processed by a cannery…

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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The sardines processed by a cannery have a mean of 4.54 inches with a standard deviation of 0.635 cm on its length. If the distribution can be approximated closely with a normal distribution, a) What percentage of the sardines is shorter than 4 inches? b) The middle 70% of the distribution will be between what two lengths? c) If 200 samples are taken, what is the probability that the sardines' length is more than 11.684 cm?

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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