Statistical Quality Control Mock Test 4

10%

Question 1 of 10

1. X bar and S chart are more accurate in predicting out-of-control situations than the x bar and R charts, in the case of high sample size.

True

False

Question 1 of 10

Question 2 of 10

2. The value of L=3 in the genera model of control limits for a Shewhart control chart, explains ____________

There are 3 quality characteristics

There are 3 sigma limits taken

There are 6 sigma limits taken

There are 6 quality characteristics

Question 2 of 10

Question 3 of 10

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

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

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

Question 3 of 10

Question 4 of 10

4. If a process is out of control, what will be its ARL for the fraction nonconforming chart?

\(ARL_1=\frac{1}{1-β}\)

\(ARL_1=\frac{1+β}{1-β}\)

\(ARL_1=\frac{1-β}{1+β}\)

\(ARL_1=\frac{1}{1+β}\)

Question 4 of 10

Question 5 of 10

5. Which of these is true?

\(n=(\frac{L}{\delta})^2 (1-p)\)

\(n=(\frac{L}{\delta})^2 p(1-p)\)

\(n=(\frac{L}{\delta})^2 p(1+p)\)

\(n=(\frac{L}{\delta})^2 p(1-np)\)

Question 5 of 10

Question 6 of 10

6. For what value of sample size, will the p-chart will have a LCL value higher than 0 when p=0.05 and 3 sigma limits are used?

n>171

n>125

n>100

n>121

Question 6 of 10

Question 7 of 10

7. We cannot analyze abnormal runs or patterns directly, on p-chart with variable sample size.

False

True

Question 7 of 10

Question 8 of 10

8. The gap between the UCL and LCL is double the gap between either one of them and the Center line, for the standardized chart.

True

False

Question 8 of 10

Question 9 of 10

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

Greater than 5

Question 9 of 10

Question 10 of 10

10. For LCL for the p-chart to be higher than zero, what condition should the sample size fulfill?

\(n>\left[\frac{(1-p) L^2}{2p}\right] \)

\(n<\left[\frac{(1-p) L^2}{2p}\right] \)

\(n>\left[\frac{(1-p) L^2}{p}\right] \)

\(n<\left[\frac{(1-p) L^2}{p}\right] \)

Question 10 of 10