Statistics Homework Solutions
Problem
#1289

Determining control limits and working with mean and range in statistical quality control. Attachments in MS Word.

Statistics Quality Control

A. Determine the control limits for the mean and range

B. Plot the control limits for the mean Outside Diameter and the range

C. Are there any points on the mean or the range chart that are out of control?  Comment on the chart.

See the attached question file for the data.

Attached file(s):
Attachments
Statistical-Quality-Control.doc  View File

Attachment Content Summary (Note: view attachment at the above link before purchasing. Actual attachment content may vary slightly from that shown below.)

Statistical-Quality-Control.doc
Chapter 17: Exercise 20 – Covers Statistical Quality Control

Outside Diameter (millimeters)



Time 1 2 3 4 5

8:00 87.1 87.3 87.9 87.0 87.1

8:30 86.9 88.5 87.6 87.5 87.4

9:00 87.5 88.4 86.9 87.6 88.2

9:30 86.0 88.0 87.2 87.6 87.1

10:00 87.1 87.1 87.1 87.1 87.1

10:30 88.0 86.2 87.4 87.3 87.8



A – Determine the control limits for the mean and range

B – Plot the control limits for the mean outside diameter and the
range

C – Are there any points on the mean or the range chart that are out
of control? Comment on the chart.

Chapter 19 – Covers Time Series and Forecasting

Exercise #18

Year Price

1990 12.9135

1991 16.8250

1992 20.6125

1993 20.3024

1994 18.3160

1995 27.7538

1996 29.0581

1997 36.0155

1998 40.6111

1999 35.0230

2000 49.5625



Listed above is the selling price for a share of PepsiCo, Inc. at the
close of the year

A – Plot the data

B – Determine the least squares trend equation

C – Calculate the points for years 1993 and 1998

Solution Summary

The following quality control problem involves working with a data set and demonstrates the process of determining and plotting control limits and evaluating whether data are out of the control limits.  Graphs and an explanation of methodology are provided in the solution.

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