Answered: Ms. Berry is concerned about the…

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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Ms. Berry is concerned about the average amount of food Fred, the elephant, eats each day. Zookeeper Mr. Johnson claims that the amount of food Fred eats daily is normally distributed with a population mean of 150 pounds and population standard deviation of 20 pounds. Ms. Berry takes a sample of 25 days and determines that the average amount of food Fred ate was 160 pounds.

a. Assuming Mr. Johnson is correct, what is the probability that a sample of 25 days will have Fred eating an average of 160 pounds of food or more?

b. Given your answer in part a should Ms. Berry be concerned that Fred is overeating?

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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