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

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)

=

61.48661.486

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

Part 3

Lower Control Limit

(LCLx)

=

60.01360.013

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).