Answered: The weights of a certain brand of…

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 weights of a certain brand of candies are normally distributed with a mean weight of 0.8563 g and a standard deviation of 0.052 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the net weight is 389.7 g. (If every package has 456 candies, the mean weight of the candies must exceed StartFraction 389.7 Over 456 EndFraction equals0.8545 g for the net contents to weigh at least 389.7 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8545 g. The probability is nothing. (Round to four decimal places as needed.) b. If 456 candies are randomly selected, find the probability that their mean weight is at least 0.8545 g. The probability that a sample of 456 candies will have a mean of 0.8545 g or greater is nothing. (Round to four decimal places as needed.) c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label? ▼ Yes, No, because the probability of getting a sample mean of 0.8545 g or greater when 456 candies are selected ▼ is is not exceptionally small.

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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