Answered: A certain brand of candies have a mean…

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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Transcribed Image Text:A certain brand of candies have a mean weight of 0.8627 g and a standard deviation of 0.0521. A sample of these candies came from a package containing 457 candies, and the package label stated that the net weight is 390.4 g. (If 390.4 = 0.8543 g for the net contents 457 every package has 457 candies, the mean weight of the candies must exceed to weigh at least 390.4 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8543 g. The probability is (Round to four decimal places as needed.) b. If 457 candies are randomly selected, find the probability that their mean weight is at least 0.8543 g. The probability that a sample of 457 candies will have a mean of 0.8543 g or greater is (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? because the probability of getting a sample mean of 0.8543 g or greater when 457 candies are selected exceptionally small.

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