To determine if their 0.33 centimeter bolts are properly adjusted, Harper Manufacturing has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Average value 0.370 Step 1 of 7:  What is the Center Line of the control chart? Round your answer to three decimal places.   Step 2 of 7:  What is the Upper Control Limit? Round your answer to three decimal places. Step 3 of 7:  What is the Lower Control Limit? Round your answer to three decimal places.

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To determine if their 0.33 centimeter bolts are properly adjusted, Harper Manufacturing has decided to use an x‾-Chart which uses the range to estimate the variability in the sample. Average value 0.370

Step 1 of 7: 

What is the Center Line of the control chart? Round your answer to three decimal places.

 

Step 2 of 7: 

What is the Upper Control Limit? Round your answer to three decimal places.

Step 3 of 7: 

What is the Lower Control Limit? Round your answer to three decimal places.

 
 
Step 4 of 7: 

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 0.38,0.31,0.36,0.31,0.36,0.370.38,0.31,0.36,0.31,0.36,0.37
Sample Mean: 0.34830.3483

 
 
 
Step 5 of 7: 

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 0.4,0.38,0.41,0.4,0.4,0.380.4,0.38,0.41,0.4,0.4,0.38
Sample Mean: 0.3950.395

Step 6 of 7: 

Use the following sample data, taken from the next time period, to determine if the process is "In Control" or "Out of Control".
Observations: 0.27,0.33,0.32,0.31,0.36,0.290.27,0.33,0.32,0.31,0.36,0.29
Sample Mean: 0.31330.3133

Step 7 of 7: 

Based on the control limits established, what is the probability that the production manager will conclude that the process is "Out of Control", when the process is actually "In Control"? Round your answer to three decimal places.

Period obs1 obs2 obs3 obs4 obs5 obs6 Sample Mean Sample Range
1 0.37 0.37 0.30 0.37 0.34 0.29 0.3400 0.08
2 0.34 0.32 0.29 0.35 0.34 0.35 0.3317 0.06
3 0.33 0.30 0.33 0.30 0.38 0.32 0.3267 0.08
4 0.30 0.35 0.32 0.32 0.32 0.37 0.3300 0.07
5 0.33 0.34 0.31 0.33 0.36 0.38 0.3417 0.07
6 0.32 0.34 0.34 0.31 0.37 0.33 0.3350 0.06
7 0.30 0.38 0.33 0.28 0.34 0.37 0.3333 0.10
8 0.37 0.30 0.37 0.38 0.37 0.38 0.3617 0.08
9 0.36 0.29 0.29 0.31 0.31 0.30 0.3100 0.07
10 0.35 0.34 0.36 0.28 0.28 0.30 0.3183 0.08
11 0.33 0.34 0.31 0.31 0.33 0.31 0.3217 0.03
12 0.28 0.36 0.38 0.35 0.38 0.36 0.3517 0.10
13 0.38 0.36 0.32 0.31 0.36 0.36 0.3483 0.07

 
 
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