STATS 166-A

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"Time-Weighted - EWMA Control Chart - 4".

9. EWMV is ____________

a) Exponentially weighted mean variability

b) Exponentially weighted moving variance

c) Exponentially weighted mean variance

d) Exponentially weighted moving variability

10. What is the value of EWMV?

a)S_i^2=(x_i-z_i)^2- (1+) S_{i-1}^2

b)S_i^2=(x_i-z_i)^2 (1-) S_{i-1}^2

c)S_i^2=(x_i-z_i)^2- (1-) S_{i-1}^2

d)S_i^2=(x_i-z_i)^2+ (1-) S_{i-1}^2

11. What is the upper limit for the EWMA for Poisson data?

a) UCL=_0+A_U \sqrt{\frac{_0}{2-}\big\{1-(1-)^{2i}\big\}}

b) UCL=_0-A_U \sqrt{\frac{_0}{2-}\big\{1-(1-)^{2i}\big\}}

c) UCL=_0-A_L \sqrt{\frac{_0}{2-}\big\{1-(1-)^{2i}\big\}}

d) UCL=_0+A_L \sqrt{\frac{_0}{2-}\big\{1-(1-)^{2i}\big\}}

12. LCL for EWMA chart for Poisson distribution is written as ____________

a) LCL=_0-A_L \sqrt{\frac{_0}{2-}\big\{1-(1+)^{2i}\big\}}

b) LCL=_0+A_L \sqrt{\frac{_0}{2-}\big\{1-(1+)^{2i}\big\}}

c) LCL=_0+A_L \sqrt{\frac{_0}{2-}\big\{1-(1-)^{2i}\big\}}

d) LCL=_0-A_L \sqrt{\frac{_0}{2-}\big\{1-(1-)^{2i}\big\}}

13. "AL" in the expression of the LCL of EWMA charts for Poisson distribution, is ______

a) Lower control limit factor

b) Lower allowance factor

c) Life Allowance factor

d) Last Allowance factor

14. EWMA recursion is different in the case of the EWMA charts for normal data and EWMA charts for Poisson data.

a) True

b) False

15. The Poisson EWMA has considerably better ability to detect assignable causes than Shewhart c-chart.

a) True

b) False

1. What is the initial S in EWMS stand for?

a) Severity error

b) Signal error

c) Square error

d) Simple error

2. Who were the first people to introduce the EWMA charts to monitor process standard deviation?

a) McGregor and Harris

b) Harris and Roberts

c) Crowder and Roberts

d) Harris and Roberts

3. What is the value of EWMS?

a)S_i^2= (x_i-)^2-(1-) S_{i-1}^2

b)S_i^2= (x_i-)^2-(1+) S_{i-1}^2

c)S_i^2= (x_i-)^2+(1-) S_{i-1}^2

d)S_i^2= (x_i-)^2+(1+) S_{i-1}^2

4. "Si2/2" has an approximate __________ distribution.

a) Normal

b) Lognormal

c) Exponential

d) Chi-square

5. EWRMS chart plots __________ on the control chart.

a) Exponentially weighted root moving square error

b) Exponentially weighted root mean square error

c) Exponentially weighted root mean signal error

d) Exponentially weighted root moving signal error

6. EWRMS charts have the upper limit of ____________

a) UCL=_0 \sqrt{\frac{_{v,\frac{}{2}}^2}{v}}

b) UCL=\frac{_0}{2} \sqrt{\frac{_{v,\frac{}{2}}^2}{v}}

c) UCL=_0 \sqrt{\frac{_{v,\frac{}{2}}^2}{2v}}

d) UCL=\sqrt{\frac{_{v,\frac{}{2}}^2}{v}}

7. What is the lower limit of the EWRMS chart?

a) LCL=3_0 \sqrt{\frac{_{v,1-\frac{}{2}}^2}{v}}

b) LCL=_0 \sqrt{\frac{_{v,1-\frac{}{2}}^2}{2v}}

c) LCL=_0 \sqrt{\frac{_{v,1-\frac{}{2}}^2}{v}}

d) LCL=\frac{_0}{2} \sqrt{\frac{_{v,1-\frac{}{2}}^2}{v}}

8. EWRMS chart is sensitive to _____________

a) Process mean only

b) Process standard deviation only

c) Neither process mean nor standard deviation

d) Both, process mean and standard deviation