MCQOPTIONS
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MCQOPTIONS
This section includes 16 Mcqs, each offering curated multiple-choice questions to sharpen your Statistical Quality Control knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
Which of this is a situation when x bar and s charts should be utilized instead of x bar and R charts? |
| A. | When sample size is constant |
| B. | When sample standard deviation is less than 1 |
| C. | When sample range is more than 1 |
| D. | When sample size is variable |
| Answer» E. | |
| 2. |
X bar and R charts are highly favorable when the sample size is high. |
| A. | True |
| B. | False |
| Answer» C. | |
| 3. |
Process standard deviation is the mean of all sample standard deviations. |
| A. | True |
| B. | False |
| Answer» C. | |
| 4. |
For mean of all sample standard deviations=0.0094 and the sample size= 5, what will be the estimate of process standard deviation? |
| A. | 100 |
| B. | 0.01 |
| C. | 0.0094 |
| D. | 94 |
| Answer» C. 0.0094 | |
| 5. |
What is the formula for UCL for x bar chart when s is known? |
| A. | \(UCL = \bar{\bar{x}} + A_3 \bar{s}\) |
| B. | \(UCL = \bar{\bar{x}} – A_2 \bar{s}\) |
| C. | \(UCL = \bar{\bar{x}} – A_3 \bar{s}\) |
| D. | \(UCL = \bar{\bar{x}} + A_2 \bar{s}\) |
| Answer» B. \(UCL = \bar{\bar{x}} – A_2 \bar{s}\) | |
| 6. |
What is the value of B3 in the terms of c4? |
| A. | \(c_4-3\sqrt{(1-c_4^2)}\) |
| B. | \(c_4+3\sqrt{(1+c_4^2)}\) |
| C. | \(1-\frac{3}{c_4} \sqrt{(1-c_4^2)}\) |
| D. | \(1-\frac{c_4}{3\sqrt{(1-c_4^2)}}\) |
| Answer» D. \(1-\frac{c_4}{3\sqrt{(1-c_4^2)}}\) | |
| 7. |
What is the value of LCL for the s chart when the standard value for σ is not given? |
| A. | B5 s |
| B. | B4 s |
| C. | B6 s |
| D. | B3 s |
| Answer» E. | |
| 8. |
The center line of the s chart denotes ____ |
| A. | Standard deviation of the process |
| B. | Mean of m number of standard deviations, where m is the number of samples |
| C. | c4 s |
| D. | B5 s |
| Answer» C. c4 s | |
| 9. |
What is the value of B5 in the terms of c4? |
| A. | \(c_4-3\sqrt{(1-c_4^2)}\) |
| B. | \(c_4+3\sqrt{(1+c_4^2)}\) |
| C. | \(c_4+3\sqrt{(1-c_4^2)}\) |
| D. | \(c_4-3\sqrt{(1+c_4^2)}\) |
| Answer» B. \(c_4+3\sqrt{(1+c_4^2)}\) | |
| 10. |
If the sample standard deviations for a process are 1.567, 1.429, 1.323, 1.525, 1.989, 1.457, what will be the mean standard deviation? |
| A. | 1.548 |
| B. | 1.858 |
| C. | 1.327 |
| D. | 1.967 |
| Answer» B. 1.858 | |
| 11. |
The center line of the s chart with a standard value for σ given, denotes the value of _____ |
| A. | B6 σ |
| B. | c4 σ |
| C. | B5 σ |
| D. | c5 σ |
| Answer» C. B5 σ | |
| 12. |
Which of these formulas gives the exact equation for the UCL of s chart with a std. value for σ given? |
| A. | B6 σ |
| B. | B5 σ |
| C. | c4 σ |
| D. | c3 σ |
| Answer» B. B5 σ | |
| 13. |
What is the standard formula of sample variance? |
| A. | \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{1/2}}{n-1}\) |
| B. | \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n-1}\) |
| C. | \([\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n-1}]^{1/2}\) |
| D. | \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n}\) |
| Answer» B. \(\frac{\sum_{i=1}^n (x_i-\bar{x})^{2}}{n-1}\) | |
| 14. |
What is an unbiased estimator of unknown variance of a probability distribution? |
| A. | Sample mean |
| B. | Sample standard deviation |
| C. | Sample variance |
| D. | Sample range |
| Answer» D. Sample range | |
| 15. |
What does “s” denote in x bar and s charts? |
| A. | Sample |
| B. | Sample standard deviation |
| C. | Process standard deviation |
| D. | Statistics |
| Answer» C. Process standard deviation | |
| 16. |
What is the estimator of standard deviation in the x bar and R charts? |
| A. | Mean of one sample |
| B. | Mean of whole process |
| C. | Range |
| D. | Process capability ratio |
| Answer» D. Process capability ratio | |