Operations Management
Operations Management
11th Edition
ISBN: 9780132921145
Author: Jay Heizer
Publisher: PEARSON
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Chapter 10, Problem 35P

a)

Summary Introduction

To determine: The percentage spent in working, through observation

Introduction: Sample size refers to the number of observations that are necessary to determine the cycle time. The major goal of sample size is to determine inferences about the population from the observations.

b)

Summary Introduction

To determine: The required sample size

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

c)

Summary Introduction

To determine: Whether the sample size taken by the assistant is adequate or not

Introduction: Sample size refers to the number of observations that are necessary to determine the cycle time. The major goal of sample size is to determine inferences about the population from the observations.

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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.
Four samples of three observations each have been taken. Sample 1: 12, 12.3, 11. Sample 2: 12, 12.4, 12. Sample 3: 12, 12, 11. Sample 4: 12, 11.8, 11. LCL and UCL of R-chart are: O a. None of them O b. O and 2.38 O c. -1 and 2.77 O d. Oand 2.12 O e. Oand 2.96
a) A machine is set to produce a diameter of 9 mm nominal, and a sample of five pieces is taken every hour, Table 3(a). Over the first 10 samples the following results were obtained; 1 2 3 4 5 6 8 9 10 Sample No. 9.05 9.05 9.04 9.04 9.06 9.06 9.04 9.06 9.05 9.03 9.03 9.04 9.05 9.04 9.04 9.04 9.07 9.03 9.05 9.06 9.03 9.06 9.04 9.04 9.05 9.05 9.06 9.03 9.05 9.04 9.04 9.04 9.06 9.05 9.05 9.04 9.06 9.04 9.06 9.05 9.06 9.05 9.04 9.04 9.06 9.04 9.05 9.05 9.05 9.03 Table 3(a) i. Calculate the control limits for this process ii. Graph the sample data for both the X-bar and R-bar charts. iii. Explain if this machine is adjusted and in control? From the information in Table 3(a), estimate the standard deviation of the process, ô . iv.
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