Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma)

Sample

Size, n

Mean Factor,

A2

Upper Range,

D4

Lower Range,

D3

2

1.880

3.268

0

3

1.023

2.574

0

4

0.729

2.282

0

5

0.577

2.115

0

6

0.483

2.004

0

7

0.419

1.924

0.076

8

0.373

1.864

0.136

9

0.337

1.816

0.184

10

0.308

1.777

0.223

12

0.266

1.716

0.284

for this problem.

Thirty-five samples of size

7

each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean =

60.75

lb.; Average range

R

=

1.78

lb.

a) For the given sample size,

the

control limits for 3-sigma

x

chart are:

Part 2

Upper Control Limit

(UCLx)

=

enter your response here

lb. (round your response to three decimal places).

Part 3

Lower Control Limit

(LCLx)

=

enter your response here

lb. (round your response to three decimal places).

Part 4

b) The control limits for the 3-sigma R-chart are:

Part 5

Upper Control Limit

(UCLR)

=

enter your response here

lb. (round your response to three decimal places).

Part 6

Lower Control Limit

(LCLR)

=

enter your response here

lb. (round your response to three decimal places).