Pearson eText Principles of Operations Management: Sustainability and Supply Chain Management -- Instant Access (Pearson+)
Pearson eText Principles of Operations Management: Sustainability and Supply Chain Management -- Instant Access (Pearson+)
11th Edition
ISBN: 9780135639221
Author: Jay Heizer, Barry Render
Publisher: PEARSON+
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Chapter 10, Problem 27P
Summary Introduction

To determine: The number of observations required.

Introduction: Thesample size is required to determine the number of observations that are necessary to find the true cycle time.

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erations Management Spring21 Time left 1:09:19 stion In a fabric manufacturing factory, the quality control process using control charts from SPC. In an hour there are a total of 5 samples are taken each having 5 observations regarding the thickness of fabric in measured in millimeters. In a particular hour, the sample means (X-bar) are noted to be: 156.46, 199.62, 189.31, 102.22, and112.09 respectively. In the same sample, the corresponding ranges are: 11.97, 12.17, 13.94, 11.86, and 11.83 respectively. What are the lower and upper control limits for the X-bar chart? et ered ed out of O a. None is correct lag O b. 156.55, 170.47 tion O C. 144.77, 159.11 O d. 145.40, 190.72 O e. 143.55, 165.47 Of. 142.92, 160.66 Fi PREVIOUS PAGE NEXT PAGE O Type here to search %23
Question : A process that is considered to be in control measures an ingredient in ounces. Below are the last ten samples (each of size n=5) taken.  The population standard deviation is 1.36.   SAMPLE   1   2   3   4   5   6   7   8   9     10     5 6 9 10 9 10 9 12 8 9   8 9 9 8 12 11 9 9 6 10   6 8 5 7 10 8 10 9 4 12   4 7 3 8 8 6 12 10 4 11   5 4 2 9 8 6 8 6 5 7   Using information from the above table: Calculate the standard deviation of the sample means, σ×. Determine the control limits for the mean chart, using A2 and σ× if z=3. Determine the control limits for the range chart. Construct mean (using A2) and range control charts by using information from (ii) and (iii).                                                                Comment on your results.
Question 3 A coffee producer wishes to produce new 50-gram pack for people who like to bring their own coffee when they travel. The producer asked your help to monitor the quality of the process by setting up the appropriate control charts. Based on the data shown in the table, is the process in control? Sample 2 3 4 5 6 7 8 9 2 3 4 Values for A2, D3 and D4 Sample Size n 10 1 54.5 50.6 51.1 52.7 51.7 5 6 7 8 9 10 11 51.1 54.0 53.2 51.9 A2 D3 1.88 0 1.02 0 0.73 0 0.58 0 0.48 0 0.42 0.08 0.37 0.14 0.34 0.18 0.31 0.22 0.29 0.26 12 0.27 0.28 Show all your workings clearly. 2 54.3 53.5 54.3 52.1 51.2 Observation 51.5 52.3 50.4 50.2 D4 3.27 2.57 2.28 2.11 2.00 1.92 1.86 1.82 1.78 1.74 1.72 3 53.8 53.2 50.4 51.3 54.7 54.7 54.7 53.4 50.2 4 50.4 54.9 50.7 51.0 54.3 50.4 51.4 51.4 52.9
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