Answered: The weight of grapefruits produced by…

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 weight of grapefruits produced by an orchard is normally distributed, with a
mean weight (μ) of 450g and a standard deviation of 50g. We randomly select a
sample of 120 grapefruits from the orchard.
Q.3.1.1 Compute the standard error. (2)
Q.3.1.2 What is the probability that the average weight of the grapefruits in the
sample will lie between 445g and 460g? Interpret your answer.

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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