Question

# The following are quality control data for a manufacturing process at Kensport Chemical Company. The data...

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 95.46 0.4
5 95.46 0.5
6 95.32 1.1
7 95.40 1.0
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 0.5
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=

 Sample x R 1 95.72 1 2 95.24 0.9 3 95.18 0.7 4 95.46 0.4 5 95.46 0.5 6 95.32 1.1 7 95.4 1 8 95.44 0.3 9 95.08 0.2 10 95.5 0.6 11 95.8 0.6 12 95.22 0.2 13 95.6 1.3 14 95.22 0.5 15 95.04 0.8 16 95.72 1.1 17 94.82 0.6 18 95.46 0.5 19 95.6 0.4 20 95.74 0.6 average 95.401 0.665

x̅̅ =   95.40
R̅ =   0.67
D4=   2.114
D3=   0
UCLr = D4*R̅ =        1.406
LCLr = D3*R̅ =       0.000