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Instruction 18-13
a Supplier of Silicone Sheets for Producers of Computer

question 48

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Instruction 18-13
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.
sheet Day 12345 Mean  Range 91121014658.69281366108.67310127799.05459127108.6758389107.676979698.03710105767.65810910658.0596106998.0410698687.431185610107.85126477127.2813757696.8414588766.8315712106109.06167114787.4717845475.64181141111109.4719610610108.442061212688.86\begin{array} { r r r r r r r r } &&&sheet\\ \text { Day } & 1 & 2 & 3 & 4 & 5 & \frac { \text { Mean } } { } & \frac { \text { Range } } { 9 } \\1 & \frac { 1 } { 2 } & 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 18-13,an R chart is to be constructed for the number of blemishes.One way to create the lower control limit involves multiplying the mean of the sample ranges by D3.For this data set,the value of D3 is ________.

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Definitions:

Rival

A good whose consumption by one person diminishes the quantity or quality available for consumption by others.

Price Leadership

An informal method that firms in an oligopoly may employ to set the price of their product: One firm (the leader) is the first to announce a change in price, and the other firms (the followers) soon announce identical or similar changes.

Oligopoly

An oligopoly is a market structure characterized by a small number of firms dominating the market, where each firm has significant control over prices and other market factors.

Collusion

A non-competitive, secret, and often illegal agreement between rivals aiming to disrupt the market's equilibrium by controlling the market price, production, or marketing of goods and services.

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