The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0513 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the 389.1 net weight is 389.1 g. (If every package has 450 candies, the mean weight of the candies must exceed 456 = 0.8532 g for the net contents to weigh at least 389.1 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g. The probability is (Round to four decimal places as needed.) b. If 456 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g. The probability that a sample of 456 candies will have a mean of 0.8532 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 0.8532 g or greater when 456 candies are selected exceptionally small.
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation of 0.0513 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the 389.1 net weight is 389.1 g. (If every package has 450 candies, the mean weight of the candies must exceed 456 = 0.8532 g for the net contents to weigh at least 389.1 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g. The probability is (Round to four decimal places as needed.) b. If 456 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g. The probability that a sample of 456 candies will have a mean of 0.8532 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 0.8532 g or greater when 456 candies are selected exceptionally small.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8544 g and a standard deviation
of 0.0513 g. A sample of these candies came from a package containing 456 candies, and the package label stated that the
389.1
net weight is 389.1 g. (If every package has 456 candies, the mean weight of the candies must exceed
= 0.8532 g
456
for the net contents to weigh at least 389.1 g.)
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g.
The probability isO
(Round to four decimal places as needed.)
b. If 456 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g.
The probability that a sample of 456 candies will have a mean of 0.8532 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 0.8532 g or greater when 456 candies are selected
exceptionally small.
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