Production and Operations Analysis, Seventh Edition
Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 12, Problem 69AP
Summary Introduction

Interpretation: Mean and Range needs to be determined with the help of given data.

Concept Introduction: X bar chart monitors the change in mean over time and R chart monitors the change in range over time and helps organizations makes better improvement decisions.

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Twenty sets of four measurements of the diameters in inches of Hot Shot golf balls were (given 12.69) a. Enter the data into a spreadsheet and compute the means and the ranges for each sample.b. Using the results of part (a), develop X- and R charts similar to Figures 12–7 and 12–8. Assume three-sigma limits for the X- chart.c. Develop a histogram based on the 80 observations. Assume class intervals (1) 1.80–1.849, (2) 1.85–1.899, (3) 1.90–1.949, (4) 1.95–1.999, (5) 2.0–2.049, (6) 2.05–2.099, (7) 2.10–2.149, (8) 2.15–2.20. Based on your histogram, what distribution might accurately describe the diameter of a golf ball selected at random?
A quality control manager in an Omani bottling company takes 5 samples for quality control purposes. These sample mean (X- bar) are; 8.51, 8.18, 11.07, 10.03, and 10.23 respectively. Additionally, the range values for these 5 samples are; 3.33, 2.61, 3.39, 4.39, and 6.49. If the lower control limit for X- bar chart is 7.664, what should be the most appropriate sample size? O a. 3 O b. None is correct O C. 4 O d. 6 O e. 5
Construct a 3-sigma X-bar chart for the length in centimeters of a part from the following tabble . What is the upper controt limit? sample         observation 1       observation 2      observation 3     observation 4 1                       0.486                   0.499                   0.493                  0.511 2                       0.499                   0.506                   0.516                  0.494 3                       0.496                   0.5                       0.515                  0.488 4                       0.495                   0.506                   0.483                  0.487 5                       0.472                   0.502                   0.526                  0.469 6                       0.473                   0.495                   0.507                  0.493 7                       0.495                   0.512                   0.49                    0.471 8                       0.525                   0.501…
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