1.

A Quality Analyst wants to construct a control chart for determining whether five machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, four units of putputs from each machine are collected:

Machine	Measurement 1	Measurement 2	Measurement 3	Measurement 4
M1	463	437	456	455
M2	466	453	408	442
M3	433	458	457	449
M4	446	441	423	461
M5	469	434	412	439

Does this process appear to be out of control? If yes, identify a machine using the factors of three sigma control limits.

a.

M5

b.

M4

c.

M2

d.

M3

e.

M1

f.

Process is in Control

2.

Six samples of five observations each have been taken for a process. The sample means and ranges computed (in minutes) are, (mean, range): (4.06, 0.47), (3.58, 0.72), (3.69, 0.7), (3.97, 0.71), (3.96, 0.54), and (4.1, 0.47). Compute the upper control limit

a.

4.182

b.

2.86

c.

4.242

d.

2.47