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

See similar textbooks

Related questions

Question

Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8589 g and a standard deviation of 0.0513 g. A sample of these candies came from a package containing 451 candies, and the package label stated that the net weight is 384.9 g. (If every package has 451 candies, the mean weight of the candies must exceed 384.9 451 = 0.8535 g for the net contents to weigh at least 384.9 g.) The probability is (Round to four decimal places as needed.) b. If 451 candies are randomly selected, find the probability that their mean weight is at least 0.8535 g. The probability that a sample of 451 candies will have a mean of 0.8535 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 0.8535 g or greater when 451 candies are selected exceptionally small.

Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8589 g and a standard deviation of 0.0513 g. A sample of these candies came from a package containing 451 candies, and the package label stated that the net weight is 384.9 g. (If every package has 451 candies, the mean weight of the candies must exceed 384.9 451 = 0.8535 g for the net contents to weigh at least 384.9 g.) COOR a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g. The probability is (Round to four decimal places as needed.) b. If 451 candies are randomly selected, find the probability that their mean weight is at least 0.8535 g. The probability that a sample of 451 candies will have a mean of 0.8535 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? herause the probability of netting a sample mean of 08535 or greater when 151 candies are selected. evcentionally small

Expert Solution