Question 10.12: Refer to Example 10.11. Assume that it is possible to adjust...

Principles of Statistics for Engineers and Scientists

Refer to Example 10.11. Assume that it is possible to adjust the process mean to any desired value. To what value should it be set to maximize the value of C $_{pk}$ ? What will the value of C $_{pk}$ be?

The blue check mark means that this solution has been answered and checked by an expert. This guarantees that the final answer is accurate.
Learn more on how we answer questions.

Related Answered Questions

Question: 10.14

Refer to Example 10.13. To what value must the process standard deviation be reduced in order for the process to attain six-sigma quality? ...

Verified Answer:

To attain six-sigma quality, the value of C

...

Question: 10.10

Rolls of sheet aluminum, used to manufacture cans, are examined for surface flaws. Table 10.3 presents the numbers of flaws in 40 samples of 100 m² each. Compute the center line and 3σ control limits for the c chart. Plot the chart. Does the process appear to be in control? ...

Verified Answer:

The average of the 40 counts is

\bar{c }[/l...

Question: 10.9

In the production of silicon wafers, 30 lots of size 500 are sampled, and the proportion of defective wafers is calculated for each sample. Table 10.2 presents the results. Compute the center line and 3σ control limits for the p chart. Plot the chart. Does the process appear to be in control? ...

Verified Answer:

The average of the 30 sample proportions is [latex...

Question: 10.8

Compute the 3σ X chart upper and lower control limits for the moisture data in Table 10.1. ...

Verified Answer:

With sample 6 deleted, the value of

\bar{X}...

Question: 10.7

Compute the center line and the 3σ S chart upper and lower control limits for the moisture data in Table 1 0.1. ...

Verified Answer:

The value of

\bar{s}

is 0.2445 (Tab...

Question: 10.6

Refer to Example 10.4. If the san1ple size remains at n = 4, what must the value of the process standard deviation a be to produce an ARL of 10 when the process mean shifts to 3.5? ...

Verified Answer:

Let σ denote the new process standard deviation. T...

Question: 10.5

Refer to Example 10.4. An upward shift to what value can be detected with an ARL of 20? ...

Verified Answer:

Let m be the new mean to which the process has shi...

Question: 10.3

For an X chart with control limits at μ±3σX, compute the ARL for a process that is in control. ...

Verified Answer:

Let

\bar{X}

be the mean of a sample...

Question: 10.2

Compute the 3σ X chart upper and lower control limits for the moisture data in Table 10.1. ...

Verified Answer:

With sample 6 deleted, the value of

\overli...

Question: 10.1

Compute the 3σ R chart upper and lower control limits for the moisture data in Table 10.1. ...

Verified Answer:

The value of

\overline{R}

is 0.6066...