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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Transcribed Image Text:The displayed text concerns the statistical analysis of candy weights. --- ### Statistical Analysis of Candy Weights The weights of a certain brand of candies are normally distributed with: - **Mean weight:** 0.8541 g - **Standard deviation:** 0.0516 g A sample of these candies was taken from a package containing 445 candies. The package label states that the net weight is 379.8 g. To ensure the net contents weigh at least 379.8 g, the package must have a mean weight of candies exceeding the calculated amount of 0.8535 g. --- #### Problems and Solutions: **a. Probability for a Single Candy:** - **Question:** If 1 candy is randomly selected, find the probability that it weighs more than 0.8535 g. - **Solution:** The probability is represented by an input box (to allow entry for calculation). *(Round the probability to four decimal places as needed.)* **b. Probability for a Sample of 445 Candies:** - **Question:** If 445 candies are randomly selected, find the probability that their mean weight is at least 0.8535 g. - **Solution:** The probability is represented by an input box (to allow entry for calculation). *(Round the probability to four decimal places as needed.)* **c. Evaluation:** - **Question:** Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label? - **Solution:** A selection box is provided with options regarding the conclusion about the probability of getting a sample mean of 0.8535 g or greater when 445 candies are selected being exceptionally small. --- These exercises help in understanding real-world applications of normal distribution and probability calculations in quality control and product packaging standards.

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