Answered: averages μ = 12.5 with a standard…

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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19. Jumbo shrimp are those that require 10–15 shrimp
to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1, and forms a normal dis- tribution. What is the probability of randomly picking a sample of n = 25 1-pound bags that average more than M = 13 shrimp per bag?

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The number of jumbo shrimp in a 1-pound bag averages μ = 12.5 with a standard deviation of σ = 1, and forms a normal distribution.

Let X is the number of jumbo shrimp in a 1-pound bag.

X~N(µ=12.5, σ²=1²)

X̅~N(µ=12.5, σ²/n=1²/25)

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