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

question 15

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.One way to create the upper control limit involves multiplying the mean of the sample ranges by D4. For this data set,the value of D4 is _______.


Definitions:

Phased Retirement

A work arrangement that allows employees to reduce their working hours or workload as they transition to retirement.

Reducing Hours

The process of decreasing the number of hours worked, typically in the context of employment or operation.

Complex Work

Tasks or projects that involve multiple steps, require critical thinking and problem-solving skills, and often demand creativity and adaptability.

Flexible Thinkers

Individuals who can adapt their thinking to new situations and challenges, considering multiple perspectives and solutions.

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