To determine if their 13 oz filling machine is properly adjusted, Smith Paints has decided to use an X-Chart which uses the range to estimate the variability in the sample. J. Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places. Control Chart Select the Copy Table button to copy all values. To select an entire row or column, either click on the row or column header or use the Shift and arrow keys. To find the average of the selected cells, select the Average Values button. Copy Table 1 2 3 4 5 6 7 Table 8 9 10 11 Period obs1 obs2 obs3 obs4 obs5 obs6 Sample Mean Sample Range 12.97 12.98 13.04 13.01 13.01 13.02 13.0050 13.03 12.95 12.96 13.01 13.05 12.98 12.9967 12.98 12.99 12.97 12.9983 12.96 13.03 13.04 13.0067 12.98 13.05 13.02 13.02 13.04 13.0317 12.98 13.01 13.02 13.04 13.04 13.02 13.03 12.99 12.96 13.03 12.95 12.98 12.96 12.99 13.01 12.97 12.97 13.05 12.9917 13.02 13.00 12.9933 13.03 13.04 13.03 12.95 13.03 13.0083 12.97 12.95 12.99 13.00 13.03 13.0217 13.04 13.05 13.02 13.02 12.99 13.02 13.02 12.95 13.00 13.0000 12.95 12.98 12.96 13.04 13.00 13.02 12.9917 Average Values The average of the selected cell(s) is 12.970. Copy Value 0.07 0.10 0.08 0.08 0.02 0.10 0.06 0.09 0.06 0.07 0.09 X Tables Copy T Ke Keyboard Sh

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**Quality Control in Manufacturing: Using an X-Chart**

In quality control, it is critical to ensure machinery is properly adjusted to maintain product consistency. Smith Paints is using an X-Chart, a type of control chart, to determine if their filling machine for 13 oz paint cans is operating correctly by evaluating sample variability.

### Step 1 of 7: Calculate the Center Line of the Control Chart

To commence, identify the center line of the control chart by calculating the average sample mean. The answer should be rounded to three decimal places.

### Data Table: Observations and Statistical Values

Below is a table showing observations collected over multiple periods. Each period has six observations (obs1 to obs6), along with the sample mean and sample range for that period.

| Period | obs1 | obs2 | obs3 | obs4 | obs5 | obs6 | Sample Mean | Sample Range |
|--------|------|------|------|------|------|------|-------------|--------------|
| 1      | 12.97| 12.98| 13.04| 13.01| 13.02| 13.02| 13.0050     | 0.07         |
| 2      | 13.05| 12.95| 12.96| 13.05| 12.98| 12.98| 12.9967     | 0.10         |
| 3      | 12.99| 12.98| 12.99| 12.97| 12.998| 0.08              |
| 4      | 12.98| 13.01| 13.02| 12.96| 13.03| 13.04| 13.0067     | 0.08         |
| 5      | 13.00| 13.04| 13.02| 13.02| 13.02| 13.01| 13.0317     | 0.07         |
| 6      | 12.98| 12.99| 12.99| 13.01| 12.95| 12.99| 12.9917     | 0.10         |
| ...    | ...  | ...  | ...  | ...  | ...  | ...  |
Transcribed Image Text:**Quality Control in Manufacturing: Using an X-Chart** In quality control, it is critical to ensure machinery is properly adjusted to maintain product consistency. Smith Paints is using an X-Chart, a type of control chart, to determine if their filling machine for 13 oz paint cans is operating correctly by evaluating sample variability. ### Step 1 of 7: Calculate the Center Line of the Control Chart To commence, identify the center line of the control chart by calculating the average sample mean. The answer should be rounded to three decimal places. ### Data Table: Observations and Statistical Values Below is a table showing observations collected over multiple periods. Each period has six observations (obs1 to obs6), along with the sample mean and sample range for that period. | Period | obs1 | obs2 | obs3 | obs4 | obs5 | obs6 | Sample Mean | Sample Range | |--------|------|------|------|------|------|------|-------------|--------------| | 1 | 12.97| 12.98| 13.04| 13.01| 13.02| 13.02| 13.0050 | 0.07 | | 2 | 13.05| 12.95| 12.96| 13.05| 12.98| 12.98| 12.9967 | 0.10 | | 3 | 12.99| 12.98| 12.99| 12.97| 12.998| 0.08 | | 4 | 12.98| 13.01| 13.02| 12.96| 13.03| 13.04| 13.0067 | 0.08 | | 5 | 13.00| 13.04| 13.02| 13.02| 13.02| 13.01| 13.0317 | 0.07 | | 6 | 12.98| 12.99| 12.99| 13.01| 12.95| 12.99| 12.9917 | 0.10 | | ... | ... | ... | ... | ... | ... | ... |
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