Question

A process sampled 20 times with a sample of size 8 resulted in = 23.5 and R = 1.8.

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

UCL=________.

LCL=________.

Compute the upper and lower control limits for the *R*
chart for this process. (Round your answers to two decimal
places.)

UCL=_________.

LCL=___________.

Answer #1

**Answer:**

*Given,*

*n = 20 , X = 23.5 , R = 1.8*

1) for X bar chart:

A2 = 0.373 ( from table )

upper control limit = x̅ + A2R̅ = | 24.17 |

lower control limit = x̅ - A2R̅ = | 22.82 |

2)

Using Table (D4 = 1.864 , D3 = 0.136 )

for R chart:

upper control limit = D4R̅ = | 3.35 |

lower control limit = D3R̅ = | 0.24 |

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The following are quality control data for a manufacturing
process at Kensport Chemical Company. The data show the temperature
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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
95.58
1.3
14
95.22
0.6
15
95.04
0.8
16...

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...

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
95.44
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
95.54
1.3
14
95.22
0.6
15
95.04
0.8
16...

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