Hatchery Fish: Length A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that is within 0.5 inch of the claimed population mean?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Hello, I need help figuring out how to answer this question and how to draw graphs associated with the question. I am unsure how to draw a graph representing mean and Standard deviation and another graph for standard deviation and the z values etc, what needs to be shaded in etc

Hatchery Fish: Length A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean
length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the
tank. Let x be the mean sample length of these fish. What is the probability that is within 0.5 inch of the claimed
population mean?
Transcribed Image Text:Hatchery Fish: Length A large tank of fish from a hatchery is being delivered to a lake. The hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank. Let x be the mean sample length of these fish. What is the probability that is within 0.5 inch of the claimed population mean?
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