The weights of a certain brand of candies are normally distributed with a mean weight of 0.8599 g and a standard deviation of 0.0514 g. A sample of these candies came from a package containing 447 ​candies, and the package label stated that the net weight is 381.7 g.​ (If every package has 447 ​candies, the mean weight of the candies must exceed 381.7/447= 0.8539 g for the net contents to weigh at least 381.7 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8539 g. b. If candies are randomly​ selected, find the probability that their mean weight is at least 0.8539 g. The probability that a sample of candies will have a mean of g or greater is..

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8599 g and a standard deviation of 0.0514 g. A sample of these candies came from a package containing 447 ​candies, and the package label stated that the net weight is 381.7 g.​ (If every package has 447 ​candies, the mean weight of the candies must exceed 381.7/447= 0.8539 g for the net contents to weigh at least 381.7 ​g.) a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8539 g. b. If candies are randomly​ selected, find the probability that their mean weight is at least 0.8539 g. The probability that a sample of candies will have a mean of g or greater is...

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