The weights of a certain brand of candies are normally distributed with a mean weight of 0.8584 g and a standard deviation of 0.0517g. A sample of these candies came from a package containing 467 candies, and the package label stated that the net weight is 398.6g. (If every package has 467 candies, the mean weight of the candies must exceed StartFraction 398.6 Over 467 EndFraction equals 0.8536g for the net contents to weigh at least 398.6g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536g. The probability is (Round to four decimal places as needed.) b. If 467 candies are randomly selected, find the probability that their mean weight is at least 0.8536g. The probability that a sample of 467 candies will have a mean of 0.8536 g or greater is (Round to four decimal places as needed.)
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8584 g and a standard deviation of 0.0517g. A sample of these candies came from a package containing 467 candies, and the package label stated that the net weight is 398.6g. (If every package has 467 candies, the mean weight of the candies must exceed StartFraction 398.6 Over 467 EndFraction equals 0.8536g for the net contents to weigh at least 398.6g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536g. The probability is (Round to four decimal places as needed.) b. If 467 candies are randomly selected, find the probability that their mean weight is at least 0.8536g. The probability that a sample of 467 candies will have a mean of 0.8536 g or greater is (Round to four decimal places as needed.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
The weights of a certain brand of candies are
0.8584 g and a standard deviation of 0.0517g. A sample of these candies came from a package containing
467 candies, and the package label stated that the net weight is 398.6g. (If every package has 467 candies, the mean weight of the candies must exceed StartFraction 398.6 Over 467 EndFraction equals 0.8536g for the net contents to weigh at least 398.6g.)
a. If 1 candy is randomly selected, find the
The probability is
(Round to four decimal places as needed.)
b. If 467 candies are randomly selected, find the probability that their mean weight is at least
0.8536g.
The probability that a sample of 467 candies will have a mean of 0.8536 g or greater is
(Round to four decimal places as needed.)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill