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Instruction 18-10
a Supplier of Silicone Sheets for Producers of Computer

question 7

Short Answer

Instruction 18-10
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.
Day12345MeanRange181014658.69281366108.67310127799.05459127108.6758389107.676979698.03710105767.65810910658.0596106998.0410698687.431185610107.85126477127.2813757696.8414588766.8315712106109.06167114787.4717845475.64181141111109.4719610610108.442061212688.86\begin{array}{llllllll}\text{Day}&1&2&3&4&5&\text{Mean}&\text{Range}\\\hline1 & 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 18-10,an R chart is to be constructed for the number of blemishes.The centre line of this R chart is located at _______.


Definitions:

Unstable External

Contexts or environments that are unpredictable and change frequently, affecting behavior or performance.

Stable External

Factors outside of an individual that are consistent and unchanging, often influencing behavior and perceptions.

Incremental

Describes a process of making changes or improvements in small, gradual steps rather than large, significant leaps.

Entity

Something that exists as a particular and discrete unit, often referred to in philosophy, law, and technology.

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