Answered: Bottle Volume (ounces) 13.0 13.3 13.6…

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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Question

Management of a shampoo bottling company introduced
a new 13.5-ounce pack and used an existing machine, with
some modifications, to fill it. To measure filling consistency
by the modified machine (set to fill 13.85 ounces), an analyst
collected the following data (volume in ounces) for a random
sample of 100 bottles:
a. Draw a histogram for these data.
b. Bottles with less than 12.85 ounces or more than
14.85 ounces are considered to be out of specification.
Based on the sample data, what percentage of the bottles
filled by the machine will be out of specification?

Bottle Volume (ounces)
13.0 13.3 13.6
14.0
12.9 14.2 12.9 14.5
13.5
14.0 13.7 13.4 14.4 14.3 14.8 13.9 13.5 14.3
13.9 13.9 14.0 14.5 13.6 13.3
14.5 14.6 12.9 13.1 14.4 14.0 14.4
14.2 14.1 14.0
12.9
12.8 13.1 13.6
13.1 14.1 14.2 12.9
13.3 14.0 14.1 13.1
13.6 13.7
14.0 13.6 13.2
13.4 13.9
14.5 14.0 14.4 13.9
14.6
12.9
14.3 14.0 12.9 14.2 14.8
14.5 13.1
12.7
13.9
13.6 14.4 13.1 14.5 13.5 13.3 14.0 13.6 13.5 14.3
13.2 13.8 13.7 12.8 13.4 13.8 13.3 13.7 14.1
13.7
13.7 13.8 13.4 13.7
12.8 13.7 13.8 14.1
14.3

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