A pharmaceutical company fills a drug which is in a powder form into a bottle. It has an automated process consisting of a filling machine and a sealing unit. After filling the bottle, it is automatically sealed with a metallic cap. To monitor the quality of the process, samples of size 5 are drawn periodically from the process and the quantity filled is measured. The table below has data on 12 such observations. Sample 1 2 3 4 5 1 9.21 8.87 8.71 9.08 9.34 2 9.06 8.97 9.13 8.46 8.85 3 9.35 8.95 9.20 9.03 8.44 4 9.21 8.71 9.05 9.35 8.87 5 9.01 9.17 9.21 9.05 9.53 6 8.74 8.35 8.50 9.06 8.89 7 9.21 9.05 9.00 8.78 9.23 8 9.15 9.20 9.23 9.15 9.06 9 8.98 8.81 8.90 9.13 9.05 10 9.03 9.10 9.26 9.44 8.48 11 9.49 9.05 9.12 8.88 8.93 12 8.95 9.10 9.02 9.04 8.96 (a) Establish the upper and lower control limits for the X bar chart and the R Chart (b) Construct a control chart and investigate if the process is in control Values for setting the control charts are A2 = 0.577, D3 = 0, D4 = 2.114

A pharmaceutical company fills a drug which is in a powder form into a bottle. It has an automated process consisting of a filling machine and a sealing unit. After filling the bottle, it is automatically sealed with a metallic cap. To monitor the quality of the process, samples of size 5 are drawn periodically from the process and the quantity filled is measured. The table below has data on 12 such observations. Sample 1 2 3 4 5 1 9.21 8.87 8.71 9.08 9.34 2 9.06 8.97 9.13 8.46 8.85 3 9.35 8.95 9.20 9.03 8.44 4 9.21 8.71 9.05 9.35 8.87 5 9.01 9.17 9.21 9.05 9.53 6 8.74 8.35 8.50 9.06 8.89 7 9.21 9.05 9.00 8.78 9.23 8 9.15 9.20 9.23 9.15 9.06 9 8.98 8.81 8.90 9.13 9.05 10 9.03 9.10 9.26 9.44 8.48 11 9.49 9.05 9.12 8.88 8.93 12 8.95 9.10 9.02 9.04 8.96 (a) Establish the upper and lower control limits for the X bar chart and the R Chart (b) Construct a control chart and investigate if the process is in control Values for setting the control charts are A2 = 0.577, D3 = 0, D4 = 2.114

Name: A pharmaceutical company fills a drug which is in a powder form into a
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Description: A pharmaceutical company fills a drug which is in a powder form into a bottle. It has an automatedprocess consisting of a filling machine and a sealing unit. After filling the bottle, it is automaticallysealed with a metallic cap. To monitor the qual

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

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