Questions: Set up the x̄-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.) x̄-chart UCL x̄=17.28 x̄=10.93 LCL x̄=4.58 b. On the control charts developed in part (a), plot the values from samples 16 through 25 and comment on whether the process is in control. Choose the correct R-chart for the data below. A. B. C. D.

Set up the x̄-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.)

x̄-chart
UCL x̄=17.28
x̄=10.93
LCL x̄=4.58

b. On the control charts developed in part (a), plot the values from samples 16 through 25 and comment on whether the process is in control.

Choose the correct R-chart for the data below. 
A. 
B. 
C. 
D.
Transcript text: Set up the $\bar{x}$-chart by specifying the center line and three-sigma control limits below. (Enter your responses rounded to two decimal places.) \begin{tabular}{c} $\overline{\text { x }}$-chart \\ \hline UCL $_{\overline{\dot{x}}}=17.28$ \\ $\overline{\bar{x}}=10.93$ \\ $\mathrm{LCL}_{\dot{x}}=4.58$ \\ \hline \end{tabular} b. On the control charts developed in part (a). plot the values from samples 16 through 25 and comment on whether the process is in control. Choose the correct R-chart for the data below. A. B. C. D.
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Solution

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Solution Steps

Step 1: Identify the Control Limits and Center Line for the X-Chart
  • The control limits and center line for the x-chart are given as:
    • UCL\(_X\) = 17.28
    • Center Line (\(\bar{X}\)) = 10.93
    • LCL\(_X\) = 4.58
Step 2: Plot the Values from Samples 16 through 25 on the R-Chart
  • The task is to plot the range values from samples 16 through 25 on the R-chart and determine if the process is in control.
Step 3: Compare the Given R-Charts
  • Compare the given R-charts (A, B, C, D) to identify which one correctly represents the data and control limits.

Final Answer

  • The correct R-chart is A. This chart shows the range values within the control limits, indicating that the process is in control.
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