The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and standard deviation 0.3 ounces. (a) If a bottle is selected at random, find the probability that it contains more than 15.1 ounces of soft drink. (Round your answer to four decimal places.) (b) A random sample of 25 bottles is selected from a large quantity of filled bottles. According to the Central Limit theorem, i. What is the mean of the distribution of sample means? ounces ii. What is the standard deviation of the distribution of sample means? (Round your answer to two decimal places) ounces (c) Find the probability that the mean volume of soft drink in the 25 sampled bottles is less than 15.1 ounces (Round your answer to three decimal places) (d) Find the probability that the mean volume of soft drink in the 25 sampled bottles is more than 15.8 ounces. (Round your answer to three decimal places)

The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and standard deviation 0.3 ounces. (a) If a bottle is selected at random, find the probability that it contains more than 15.1 ounces of soft drink. (Round your answer to four decimal places.) (b) A random sample of 25 bottles is selected from a large quantity of filled bottles. According to the Central Limit theorem, i. What is the mean of the distribution of sample means? ounces ii. What is the standard deviation of the distribution of sample means? (Round your answer to two decimal places) ounces (c) Find the probability that the mean volume of soft drink in the 25 sampled bottles is less than 15.1 ounces (Round your answer to three decimal places) (d) Find the probability that the mean volume of soft drink in the 25 sampled bottles is more than 15.8 ounces. (Round your answer to three decimal places)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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This is a normal distribution problem
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