show step by stepThe bacterium tropical have diameters that are normally distributed with mean 9 nm and standard deivation 3.8 nm.A researcher does not know these parameters and measures a tropical to have a diameter of 11 nm. What is the probability a randomly-chosen bacterium of this species has a diameter of under 11 nm?To learn what the parameters are for this disease, the researcher measures the diameter of 25 bacteria. What is the probability that a sample of 25 bacteria will have a mean average diameter under 11 nm?

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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 bacterium tropical have diameters that are normally distributed with mean 9 nm and standard deivation 3.8 nm.

A researcher does not know these parameters and measures a tropical to have a diameter of 11 nm. What is the probability a randomly-chosen bacterium of this species has a diameter of under 11 nm?
To learn what the parameters are for this disease, the researcher measures the diameter of 25 bacteria. What is the probability that a sample of 25 bacteria will have a mean average diameter under 11 nm?

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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