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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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 14PPS

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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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