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Instruction 18-11
a Supplier of Silicone Sheets for Producers of Computer

question 29

True/False

Instruction 18-11
A supplier of silicone sheets for producers of computer chips wants to evaluate her manufacturing process.She takes a sample size of five from each day's output and counts the number of blemishes on each silicone sheet.The results from 20 days of such evaluations are presented below.She also decides that the upper specification limit is 10 blemishes.
 Day 12345 Mean  Range 181014658.69281366108.67310127799.05459127108.6758389107.676979698.03710105767.65810910658.0596106998.0410698687.431185610107.85126477127.2813757696.8414588766.8315712106109.06167114787.4717845475.64181141111109.4719610610108.442061212688.86\begin{array}{rrrrrrrr}\text { Day } & 1 & 2 & 3 & 4 & 5 & \text { Mean } & \text { Range } \\\hline 1 & 8 & 10 & 14 & 6 & 5 & 8.6 & 9 \\2 & 8 & 13 & 6 & 6 & 10 & 8.6 & 7 \\3 & 10 & 12 & 7 & 7 & 9 & 9.0 & 5 \\4 & 5 & 9 & 12 & 7 & 10 & 8.6 & 7 \\5 & 8 & 3 & 8 & 9 & 10 & 7.6 & 7 \\6 & 9 & 7 & 9 & 6 & 9 & 8.0 & 3 \\7 & 10 & 10 & 5 & 7 & 6 & 7.6 & 5 \\8 & 10 & 9 & 10 & 6 & 5 & 8.0 & 5 \\9 & 6 & 10 & 6 & 9 & 9 & 8.0 & 4 \\10 & 6 & 9 & 8 & 6 & 8 & 7.4 & 3 \\11 & 8 & 5 & 6 & 10 & 10 & 7.8 & 5 \\12 & 6 & 4 & 7 & 7 & 12 & 7.2 & 8 \\13 & 7 & 5 & 7 & 6 & 9 & 6.8 & 4\\14 & 5 & 8 & 8 & 7 & 6 & 6.8 & 3 \\15 & 7 & 12 & 10 & 6 & 10 & 9.0 & 6 \\16 & 7 & 11 & 4 & 7 & 8 & 7.4 & 7 \\17 & 8 & 4 & 5 & 4 & 7 & 5.6 & 4 \\18 & 11 & 4 & 11 & 11 & 10 & 9.4 & 7 \\19 & 6 & 10 & 6 & 10 & 10 & 8.4 & 4 \\20 & 6 & 12 & 12 & 6 & 8 & 8.8 & 6\\\end{array}
-Referring to Instruction 18-11,based on the chart for the number of blemishes,it appears that the process is out of control.


Definitions:

Isotactic

pertaining to polymers where all substituent groups are oriented on the same side of the polymer chain, giving specific physical properties.

Isotactic Polypropylene

A type of polypropylene where all the methyl groups are aligned on the same side of the polymer chain, leading to a high degree of crystallinity.

Atactic Poly(acrylonitrile)

A type of polyacrylonitrile polymer where the methyl side groups are randomly distributed along the polymer chain, leading to an amorphous material.

Anionic Polymerization

A type of chain growth polymerization where the reactive center is an anion, allowing for the synthesis of polymers with narrow molecular weight distribution.

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