CONNECT F/OPERATIONS MGMT
CONNECT F/OPERATIONS MGMT
14th Edition
ISBN: 9781264344963
Author: Stevenson
Publisher: INTER MCG
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Chapter 10, Problem 20P

a)

Summary Introduction

To determine: The mean of each sample.

b)

Summary Introduction

To determine: The mean and standard deviation when the process parameters are unknown.

c)

Summary Introduction

To determine: The mean and standard deviation of the sampling distribution.

d)

Summary Introduction

To determine: The three-sigma control limit for the process and alpha risk provided by them.

e)

Summary Introduction

To determine: The alpha risk for control limits of 4.14 and 4.86.

f)

Summary Introduction

To determine: Whether any of the sample means are beyond the control limits.

g)

Summary Introduction

To determine: Whether any of the samples are beyond the control limits.

h)

Summary Introduction

To explain: The reason for variations in control limits.

i)

Summary Introduction

To determine: The control limits for the process and whether the process will be in control.

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An automatic filling machine is used to fill 1-liter bottles of cola. The machine’s output is approximately normal with a mean of 1.0 liter and a standard deviation of .01 liter. Output is monitoredusing means of samples of 25 observations.a. Determine upper and lower control limits that will include roughly 97 percent of the samplemeans when the process is in control.b. Given these sample means: 1.005, 1.001, .998, 1.002, .995, and .999, is the process in control?
A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results:  For upper and lower control limits of 23.29 and 16.71, which machine(s), if any, appear(s) to have an out-of-control process mean?
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