The weights of a certain brand of candies are normally distributed with a mean weight of 0.8573 g and a standard deviation of 0.0514 g. A sample of these candies came from a package containing 468...


The weights of a certain brand of candies are normally distributed with a mean weight of 0.8573 g and a standard deviation of 0.0514 g. A sample of these candies<br>came from a package containing 468 candies, and the package label stated that the net weight is 399.3 g. (If every package has 468 candies, the mean weight of the<br>399.3<br>candies must exceed<br>= 0.8532 g for the net contents to weigh at least 399.3 g.)<br>468<br>a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g.<br>The probability is<br>(Round to four decimal places as needed.)<br>b. If 468 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g<br>The probability that a sample of 468 candies will have a mean of 0.8532 g or greater is<br>(Round to four decimal places as needed.)<br>c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label?<br>V because the probability of getting a sample mean of 0.8532 g or greater when 468 candies are selected<br>V exceptionally small.<br>

Extracted text: The weights of a certain brand of candies are normally distributed with a mean weight of 0.8573 g and a standard deviation of 0.0514 g. A sample of these candies came from a package containing 468 candies, and the package label stated that the net weight is 399.3 g. (If every package has 468 candies, the mean weight of the 399.3 candies must exceed = 0.8532 g for the net contents to weigh at least 399.3 g.) 468 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 468 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g The probability that a sample of 468 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? V because the probability of getting a sample mean of 0.8532 g or greater when 468 candies are selected V exceptionally small.

Jun 11, 2022
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