Statistical Quality Control Practice Test 9

1. What is the value of LCL of the standardized R chart for short runs?

D₄

D₁

D₂

D₃

2. What is the UCL of the acceptance control chart when the sample size n, the fraction nonconforming γ are specified?

\(UCL=USL-\left(Z_γ-\frac{Z_β}{\sqrt{n}}\right)\)

\(UCL=USL-\left(Z_γ+\frac{Z_β}{\sqrt{n}}\right)\)

\(UCL=USL+\left(Z_γ-\frac{Z_β}{\sqrt{n}}\right)\)

\(UCL=USL+\left(Z_γ+\frac{Z_β}{\sqrt{n}}\right)\)

3. When n, γ, and β are specified, the values of control limits are between ________

LSL And μ_U

μ_L And LSL

μ_L And USL

μ_L And μ_U

4. 2-sigma limits are recommended for the modified control charts. Which of these is not one of the reasons for this?

Gives higher β-risk

Gives smaller β-risk

The limits must be greater than the spread

The spread must be low

5. The standardized x bar chart has the value of LCL when used for short production runs is ____________

–A₂

A₂

6. The values of control limits for the standardized c-chart are different from the control limits of the standardized p-chart.

True

False

7. Sample size is allowed to vary for the construction of the DNOM based control charts.

False

True

8. What is the expression for n which gives desired values of α, β, γ, and δ for any acceptance control chart?

\(n=\left(\frac{Z_α+Z_β}{Z_δ+Z_γ}\right)^2\)

\(n=\left(\frac{Z_α-Z_β}{Z_δ+Z_γ}\right)^2\)

\(n=\left(\frac{Z_α-Z_β}{Z_δ-Z_γ}\right)^2\)

\(n=\left(\frac{Z_α+Z_β}{Z_δ-Z_γ}\right)^2\)

9. Which of the hypothesis can be tested using the modified control charts?

μ_L = μ = μ_U

μ_L ≤ μ ≤ μ_U

μ_L ≤ μ

μ ≤ μ_U

10. When the values of δ and α are specified instead of the β and γ, what is the position of UCL of the acceptance control charts?

Between μ_L and USL

Between μ_L and LSL

Between LSL and μ_U

Between USL and μ_U