Statistical Quality Control Mock Test 4

10%

Question 1 of 10

1. The ARL for any individuals control chart with the 1 sigma limits, and the β=0.972, is ____

43.96

6.3

Question 1 of 10

Question 2 of 10

2. A type II error is also called a ___________

∅ Error

α Error

β Error

δ Error

Question 2 of 10

Question 3 of 10

3. When the Lower control limits for a p chart are less than zero, what is done?

LCL=0 is taken and assumed that control chart only has the upper control limit

There is certain constant value added to LCL only, i.e. LCL_new=LCL_old+C

The value LCL<0 is utilized in control chart

There is a certain constant C added to both UCL and LCL, i.e. UCL_new=UCL_old+ C and LCL_new=LCL_old+C

Question 3 of 10

Question 4 of 10

4. If the probability of a unit being conforming or nonconforming, depends on the previous unit being conforming or nonconforming, can p-chart be applied on the process?

This depends on the operator changes

Yes

This depends on the sample size

Question 4 of 10

Question 5 of 10

5. LCL for any p chart when the standard values are given are ________

LCL=\(p-\sqrt{\frac{p(1-p)}{n}}\)

LCL=\(p+3 \sqrt{\frac{p(1-p)}{n}}\)

LCL=\(p+\sqrt[3]{\frac{p(1-p)}{n}}\)

LCL=\(p-3\sqrt[3]{\frac{p(1-p)}{n}}\)

Question 5 of 10

Question 6 of 10

6. Which one of these is correct to evaluate the mean standard deviation of the process samples?

\(\bar{s} = \frac{\sum_{i=1}^m (n_i-1) s_i^2}{\sum_{i=1}^m n_i}\)

\(\bar{s} = \left[\frac{\sum_{i=1}^m (n_i-1) s_i^2}{\sum_{i=1}^m n_i-m}\right]^{1/2}\)

\(\bar{s} = \frac{\sum_{i=1}^m (n_i-1) s_i^2}{\sum_{i=1}^m n_i-m}\)

\(\bar{s} = \left[\frac{\sum_{i=1}^m (n_i-1) s_i^2}{\sum_{i=1}^m n_i-m}\right]^2\)

Question 6 of 10

Question 7 of 10

7. In the case of automatic manufacturing, the sample size is ___________

Greater than 5

Question 7 of 10

Question 8 of 10

8. The control limits for p-chart found from the use of estimated unknown fraction non conforming, are regarded as __________

Trial limits

Concluded limits

Final limits

Absolute limits

Question 8 of 10

Question 9 of 10

9. The approximate upper control limit calculated for control chart limits based on an average sample size, is expressed by _____

UCL=\(\bar{p} + 3\sqrt{\bar{p}(1-\bar{p})/\bar{n}}\)

UCL=\(\bar{p} + 0.5\sqrt{\bar{p}(1-\bar{p})/\bar{n}}\)

UCL=\(\bar{p} - 3\sqrt{\bar{p}(1-\bar{p})/\bar{n}}\)

UCL=\(\bar{p} + \sqrt{\bar{p}(1-\bar{p})/\bar{n}}\)

Question 9 of 10

Question 10 of 10

10. Even if the process is in control according to p-chart and the fraction nonconforming is too high, it states that _________

The process is stable but there are some operator controllable problems

The process is out of control

The process is stable but there are no operator controllable problems

The process is not stable

Question 10 of 10