The weights of a certain brand of candies are normally distributed with a mean weight of 0 8591 g and a standard deviation of 0 0517 g Asample of these candies came from a package containing 453 candies, and the package label stated that the net weight is 386.7g. (f every package has 453 candies, the mean woig 386.7 of the candies must exceed 6 0 8536 g for the net contents to weigh at least 386 7 g) a. Il 1 candy is randomly selected, find the probability that it weighs more than 0 8536 g The probability isO (Round to four decimal places as needed) b. If 453 candies are randomly selected, find the probability that their mean weight is at least 0 8536 g

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
17
The weights of a certain brand of candies are nomally distributed with a mean weight of 0 8591 g and a standard deviation of 0 0517 g A sample of these candies came from a package containing 453 candies, and the package label stated that the net weight is 386.7g. (f every package has 453 candies, the mean weight
386 7
of the candies must exceed A6 0 8536 g for the net contents to weigh at least 386 7 g)
a. Il 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g
The probability is N
(Round to four decimal places as needed.)
b. If 453 candies are randomly selected, find the probability that their mean weight is at least 0 8536 g.
The probability that a sample of 453 candies will have a mean of 0 8536 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 0.8536 g or greater when 453 candies are selected
V exceptionally small
Transcribed Image Text:The weights of a certain brand of candies are nomally distributed with a mean weight of 0 8591 g and a standard deviation of 0 0517 g A sample of these candies came from a package containing 453 candies, and the package label stated that the net weight is 386.7g. (f every package has 453 candies, the mean weight 386 7 of the candies must exceed A6 0 8536 g for the net contents to weigh at least 386 7 g) a. Il 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g The probability is N (Round to four decimal places as needed.) b. If 453 candies are randomly selected, find the probability that their mean weight is at least 0 8536 g. The probability that a sample of 453 candies will have a mean of 0 8536 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 0.8536 g or greater when 453 candies are selected V exceptionally small
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman