1. A process has demonstrated that, when held in control, it can maintain a σ of 0.15 cm. A certain part has specifications of 15.00 + 0.50 cm. (a) Using a target mean of 15.00 cm, find control limits for X-bar and R charts based on a subgroup size of 4 units. In answering the following questions, assume that the actual mean setting μ is 14.97 cm. (b) What proportion of units would you expect to not meet specifications, assuming that the process generates an approximately normal distribution of measurements (c) What is the probability that any value of X will fall within the control limits (the probability of Type II error)? (d) Test the natural process spread (6σ) against the specification range. Is this process capable
1. A process has demonstrated that, when held in control, it can maintain a σ of 0.15 cm. A certain part
has specifications of 15.00 + 0.50 cm.
(a) Using a target mean of 15.00 cm, find control limits for X-bar and R charts based on a subgroup size
of 4 units.
In answering the following questions, assume that the actual mean setting μ is 14.97 cm.
(b) What proportion of units would you expect to not meet specifications, assuming that the process
generates an approximately
(c) What is the
error)?
(d) Test the natural process spread (6σ) against the specification
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