SCENARIO 18-7
a Supplier of Silicone Sheets for Producers of Computer

question 26

Short Answer

SCENARIO 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. $$\begin{array}{l}\text {\quad\quad\quad\quad\quad\quad\quad Sheet }\\\begin{array} { r r r r r r r r } \underline {\text { Day } }& \underline { 1 } &\underline { 2 }&\underline { 3 }& \underline {4 }& \underline {5} & \underline { \text { Mean } } &\underline { \text { Range }} \\1 & 8 & 10 & 14 & 6 & 5 & 8.6 & 9 \\2 & 8 & 13 & 6 & 6 & 10 & 8.6 & 7 \\3 & 10 & 12 & 7 & 7 & 9 & 9.0 & 5 \\4 & 5 & 9 & 12 & 7 & 10 & 8.6 & 7 \\5 & 8 & 3 & 8 & 9 & 10 & 7.6 & 7 \\6 & 9 & 7 & 9 & 6 & 9 & 8.0 & 3 \\7 & 10 & 10 & 5 & 7 & 6 & 7.6 & 5 \\8 & 10 & 9 & 10 & 6 & 5 & 8.0 & 5 \\9 & 6 & 10 & 6 & 9 & 9 & 8.0 & 4 \\10 & 6 & 9 & 8 & 6 & 8 & 7.4 & 3 \\11 & 8 & 5 & 6 & 10 & 10 & 7.8 & 5 \\12 & 6 & 4 & 7 & 7 & 12 & 7.2 & 8 \\13 & 7 & 5 & 7 & 6 & 9 & 6.8 & 4 \\14 & 5 & 8 & 8 & 7 & 6 & 6.8 & 3 \\15 & 7 & 12 & 10 & 6 & 10 & 9.0 & 6 \\16 & 7 & 11 & 4 & 7 & 8 & 7.4 & 7 \\17 & 8 & 4 & 5 & 4 & 7 & 5.6 & 4 \\18 & 11 & 4 & 11 & 11 & 10 & 9.4 & 7 \\19 & 6 & 10 & 6 & 10 & 10 & 8.4 & 4 \\20 & 6 & 12 & 12 & 6 & 8 & 8.8 & 6\end{array}\end{array}$$ She also decides that the upper specification limit is 10 blemishes.
-Referring to Scenario 18-7, 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:

Express Warranty

An explicit promise made by a seller about the quality or functionality of goods or services.

Puffing

Exaggerated or superlative comments or opinions that are subjective rather than objective, commonly found in sales and advertising.

Gorgeous

Describing something or someone as stunningly beautiful or visually very appealing.

UCC

Stands for Uniform Commercial Code, a comprehensive set of laws governing all commercial transactions in the United States to harmonize the law of sales and other commercial transactions.