Answered: The board of directors is meeting to…

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

The board of directors is meeting to discuss quality on a particular product. The quality supervisor wants to create a chart that is easy to understand. What chart would you choose? Use n = 50 and p = 0.09 to calculate the control limits and centerline. Create and interpret this chart.

Expert Solution

Step 1

We will choose control chart to understand the quality of particular product with time to time.

Given that,

n = 50

p = 0.09

Step 2

Given data of subgroup number and nonconforming is,

Subgroup Number	1	2	3	4	5	6	7	8	9	10
Nonconforming	5	4	3	2	6	18	5	8	2	2

The formula to calculate mean or center line is,

Statistics homework question answer, Step 2, Image 1

Step 3

Substitute 50 for n and 0.09 for p in the above formula, get:

Step 4

The formula to calculate the upper control limit is,

UCL np+3np(1- p)
Substitute 50 for n and 0.09 for p in the above formula, get
UCL np+3p(1-p)
=50 x 0.093/50 x0.09 x (1-0.09)
= 10.5708
10.57

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