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c) Compute the z value that corresponds to X= 12.9 fluid ounces. Round to 2 decimal places. Show your work.

c) Compute the z value that corresponds to X= 12.9 fluid ounces. Round to 2 decimal places. Show your work.

MATLAB: An Introduction with Applications
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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Carbonated Beverage: The fill volume of an automated filling machine used for filling bottles of carbonated beverage is normally distributed with a mean of μ = 12.6 fluid ounces and a standard deviation of 0.15 fluid ounce, o = 0.15. CHARLIE'S natural soda CHARLIE'S natural soda CHARLIE'S atural soda Questions: a) What is the fill volume of a bottle of carbonated beverage that is 1 standard deviation above the mean volume? b) What is the fill volume of a bottle of carbonated beverage that is 2 standard deviation below the mean volume? c) Compute the z value that corresponds to X= 12.9 fluid ounces. Round to 2 decimal places. Show your work. d) Compute the z value that corresponds to X= 12.1 fluid ounces. Round to 2 decimal places. Show your work. e) The quality control supervisor says that there's at least 1% chance (meaning 1% or more) that the volume of a randomly selected bottle is less than 12.2 ounces, is he right or not? Explain your answer. (2pts)
Transcribed Image Text:Carbonated Beverage: The fill volume of an automated filling machine used for filling bottles of carbonated beverage is normally distributed with a mean of μ = 12.6 fluid ounces and a standard deviation of 0.15 fluid ounce, o = 0.15. CHARLIE'S natural soda CHARLIE'S natural soda CHARLIE'S atural soda Questions: a) What is the fill volume of a bottle of carbonated beverage that is 1 standard deviation above the mean volume? b) What is the fill volume of a bottle of carbonated beverage that is 2 standard deviation below the mean volume? c) Compute the z value that corresponds to X= 12.9 fluid ounces. Round to 2 decimal places. Show your work. d) Compute the z value that corresponds to X= 12.1 fluid ounces. Round to 2 decimal places. Show your work. e) The quality control supervisor says that there's at least 1% chance (meaning 1% or more) that the volume of a randomly selected bottle is less than 12.2 ounces, is he right or not? Explain your answer. (2pts)
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