A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer. The quality control inspector randomly selects five boards each half-hour, measures the thickness, and records the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. 4 5 Time 1 3 8:00 87.3 87.5 87.9 8:30 86.9 88.5 87.6 9:00 87.7 88.5 86.7 9:30 86.0 88.0 87.2 10:00 86.9 87.3 87.2 87.2 87.0 87.5 87.4 87.5 88.2 87.6 87.1 87.3 87.2 10:30 88.2 86.5 87.3 87.2 87.8 Thickness (millimeters) 2 Click here for the Excel Data File a. Determine the control limits for the mean and the range. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Mean of the sample means Mean of the sample ranges c-1. Are any means out of control? Yes O No c-2. Are any ranges out of control? Yes O No LCL LCL UCL UCL

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter36: Digital Micrometers
Section: Chapter Questions
Problem 7A
Question
A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the
resistance layer. The quality control inspector randomly selects five boards each half-hour, measures the thickness, and records the
results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow.
1
Thickness (millimeters)
Time
2
3
4
5
8:00 87.3 87.5 87.9 87.2 87.0
8:30 86.9 88.5 87.6 87.5 87.4
9:00 87.7 88.5 86.7 87.5 88.2
9:30 86.0 88.0 87.2 87.6 87.1
10:00 86.9 87.3 87.2 87.3 87.2
10:30 88.2 86.5 87.3 87.2 87.8
Click here for the Excel Data File
a. Determine the control limits for the mean and the range. (Leave no cells blank - be certain to enter "0" wherever required. Round
your answers to 2 decimal places.)
Mean of the sample means
Mean of the sample ranges
c-1. Are any means out of control?
Yes
O No
c-2. Are any ranges out of control?
Yes
No
LCL
LCL
UCL
UCL =
=
Transcribed Image Text:A new machine has just been installed to produce printed circuit boards. One of the critical measurements is the thickness of the resistance layer. The quality control inspector randomly selects five boards each half-hour, measures the thickness, and records the results. The measurements (in millimeters) for the period 8:00 a.m. to 10:30 a.m. follow. 1 Thickness (millimeters) Time 2 3 4 5 8:00 87.3 87.5 87.9 87.2 87.0 8:30 86.9 88.5 87.6 87.5 87.4 9:00 87.7 88.5 86.7 87.5 88.2 9:30 86.0 88.0 87.2 87.6 87.1 10:00 86.9 87.3 87.2 87.3 87.2 10:30 88.2 86.5 87.3 87.2 87.8 Click here for the Excel Data File a. Determine the control limits for the mean and the range. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.) Mean of the sample means Mean of the sample ranges c-1. Are any means out of control? Yes O No c-2. Are any ranges out of control? Yes No LCL LCL UCL UCL = =
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