Answered: A particular fruit's weights are…

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

A particular fruit's weights are normally distributed, with a mean of 462 grams and a standard deviation of 22 grams.

If you pick 23 fruit at random, what is the probability that their mean weight will be between 446 grams and 477 grams

Round to 4 decimal places, as needed.

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.

Expert Solution

Step 1: Given information

Mean = 462

Standard deviation = 22

Sample size = 23

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