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 95.42 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 0.6
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.

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

UCL=

LCL=

#### Homework Answers

Answer #1

1)for xbar chart":

 sample mean x̅ = 95.399 average range R̅ = 0.6650 sample size n   = 5 for sample size n=5, criitcal value of constant A2= 0.577 control line (CL) = x̅= 95.399 upper control limit (UCL)=x̅+3*A2R̅ = 95.783 lower control limit (LCL) =x̅-3*A2R̅ = 95.015

2)

for R chart:

 average range R̅ = 0.665 sample size n   = 5 for sample size n=5, criitcal value of constant D3= 0 for sample size n=5, criitcal value of constant D4= 2.115 control line (CL) = R̅= 0.665 upper control limit (UCL)=D4R̅ = 1.406 lower control limit(LCL) =D3R̅ = 0.000
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