Question

The following are quality control data for a manufacturing process at Kensport Chemical Company. The data show the temperature in degrees centigrade at five points in time during a manufacturing cycle.

Sample	x	R
1	95.72	1.0
2	95.24	0.9
3	95.18	0.7
4	95.42	0.4
5	95.46	0.5
6	95.32	1.1
7	95.40	0.9
8	95.44	0.3
9	95.08	0.2
10	95.50	0.6
11	95.80	0.6
12	95.22	0.2
13	95.60	1.3
14	95.22	0.4
15	95.04	0.8
16	95.72	1.1
17	94.82	0.6
18	95.46	0.5
19	95.60	0.4
20	95.74	0.6

The company is interested in using control charts to monitor the temperature of its manufacturing process. Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.)

UCL=

LCL=

Construct the R chart.

   

UCL=

LCL=

Construct the x chart.

Construct the

x

chart.

What conclusions can be made about the quality of the process?

The R chart indicates that the process variability is  ---Select--- in control out of control .  ---Select--- No samples fall One sample falls Two samples fall More than two samples fall outside the R chart control limits. The x chart indicates that the process mean is  ---Select--- in control out of control .  ---Select--- No samples fall One sample falls Two samples fall More than two samples fall outside the x chart control limits.

Answer 1

Find A2,D3 and D4 constants values for the sample size 20

Compute the upper and lower control limits for the R chart. (Round your answers to three decimal places.)

UCL= 1.038

LCL= 0.272

Construct the R chart.:

X- chart:

UCL= 95.517

LCL= 95.281

Construct the x chart.

What conclusions can be made about the quality of the process?

The R chart indicates that the process variability is out of control

More than two samples fall outside the R chart control limits

The x chart indicates that the process mean is also out of control

More than two samples fall outside the x chart control limits.

Formula Ref: