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 648 grams and a standard deviation of 16 grams.

If you pick 5 fruits at random, then 19% of the time, their mean weight will be greater than how many grams?

Give your answer to the nearest gram.

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

The population mean and standard deviation are 648 grams and 16 grams respectively.

It is given that 19% of the time, the mean weight will be greater than x grams. That is,

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