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a Supplier of Silicone Sheets for Producers of Computer

question 101

Short Answer

18-7
A supplier of silicone sheets for producers of computer chips wants to evaluate her manufacturing process. She takes samples of size 5 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.
Sheet
 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}{llllllllll}\text { Day } & 1 & 2 & 3 & 4 & 5 & \text { Mean } & \text { Range } \\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}

She also decides that the upper specification limit is 10 blemishes.
-Referring to Table 18-7, an R chart is to be constructed for the number of blemishes. The center line of this R chart is located at_____ .


Definitions:

Cambium Layer

A cellular plant tissue located between the xylem and the phloem in the stems and roots of vascular plants, responsible for secondary growth and the production of new cells.

Root Hairs

Thin, hair-like extensions from a root's epidermis that increase surface area for water and nutrient absorption.

Reproductive Structure

Any part of a plant or animal designed specifically for sexual or asexual reproduction, such as flowers or reproductive organs.

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