Please answer all questions thumbs up for sure!

1. What are at least 2 things that distinguish a pareto chart from a simple bar chart?
2. What is the difference between attribute and variable data? Give examples.
3. What are each of the following used for:
   • The affinity diagram
   • The Interrelationship diagraph
   • The Tree diagram
   • Prioritization matrices
   • Matrix diagrams
   • Process decision program charts
   • Activity network diagrams

4. What is Statistical thinking?
5. Describe random variation.
6. If there are points above or below the control limits on a control chart, are these considered points that are occurring from random variation, or non-random variation?
7. Are points that are considered random variation associated with common or special causes?
8. When dealing with process control charts, do we focus on population or sample data?
9. Why do we randomize when we take samples?
10. How does systematic sampling compare to random sampling?
11. What is meant by sampling from a rational subgroup?
12. Research control plans and show an example that you have found other than the one provided in your text. What are some of the control methods shown in the example you found?
13. What are the 6 basic steps to developing a control chart?

14. Steering wheels in many vehicles are outfitted with an airbag and horn as well as switches for controlling radio volume, cruise control, and other devices. Connecting these devices and switches to a steering wheel requires excellent positioning control during assembly. For this reason, hole location is closely monitored in the X, Y and Z directions. The data below are X-bar and R values for 25 samples of size n=4 for hole location data for the x-axis dimension. Set up an X-bar and R charts on this process. Interpret the charts. Does the process seem to be in control? If the hole location is to be centered at 50.0, how does the process compare? (Note I did not provide you will all of the data as I have already calculated the average X for you. I provided the first two sets of complete data so that you can verify for yourself where the X-bar and Range data came from. Also it is important for you to understand that each subgroup is a sample of n=4 and there are 25 subgroups that will be plotted on the chart. The number of subgroups and the number of samples in each subgroup are often confused).

Subgroup #	1	2	3	4	Average (X-bar)	Range
1	49.90	50.27	50.40	50.63	50.3	.73
2	49.73	49.20	49.95	49.52	49.6	.75
3	#	#	#	#	50.8	.79
4	#	#	#	#	50.9	.74
5	#	#	#	#	49.8	.72
6	#	#	#	#	50.5	.73
7	#	#	#	#	50.2	.71
8	#	#	#	#	49.9	.70
9	#	#	#	#	50.0	.65
10	#	#	#	#	50.1	.67
11	#	#	#	#	50.2	.65
12	#	#	#	#	50.5	.67
13	#	#	#	#	50.4	.68
14	#	#	#	#	50.8	.70
15	#	#	#	#	50.0	.65
16	#	#	#	#	49.9	.66
17	#	#	#	#	50.4	.67
18	#	#	#	#	50.5	.68
19	#	#	#	#	50.7	.70
20	#	#	#	#	50.2	.65
21	#	#	#	#	49.9	.60
22	#	#	#	#	50.1	.64
23	#	#	#	#	49.5	.60
24	#	#	#	#	50.0	.62
25	#	#	#	#	50.3	.60

To complete the above problem, follow the 5 basic steps below:

DO NOT TRY TO DO THIS USING CONTROL CHART SOFTWARE you do not have all of the data points so it will not work. Just use the steps stated and realize the data not provided is not needed since you do have the x-bar and range of the data points.

Step 1 - collect at least 20 periodic samples of n=4; This step is complete, you have 25 samples of n=4

Step 2 - tabulate your data for the center line for X-bar chart and R charts

Step 3 - compute the UCL and LCL for X-bar and R charts

Step 4 - draw the control chart and plot the points with the calculated center line and control limits.

Step 5 - If all points fall within the control limits then this center line and control limits should be used on the control chart to monitor the process. How does your this process look if your hole location is supposed to be centered on 50.0?