An experiment is conducted to determine the time evolution of the mean increases in growth produced by growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all of equal weight), with four cuttings in each of five weekly studies. The increases in weight (in grams) for each cutting along with the sample mean and sample standard deviation of each group are given in the table below. Cutting Cutting Cutting Cutting Mean D Standard Week A B Dev. 19 13 16 12 15 3.1623 2 27 29 25 17 24.5 5.2599 22 22.25 0.5000 14 13.25 1.7078 12 11.75 2.5000 3 22 22 23 4 13 15 11 15 11 (a) Determine the control limits for this study LCL= UCL= (b) In your written work, construct the control chart of this experiment. (c) List the weekly values of i that out of control, separated by commas. If all are in control, type 'NONE' (without the quotes):

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An experiment is conducted to determine the
time evolution of the mean increases in growth
produced by growth hormones for plants. The
experimental material consists of 20 cuttings of a
shrub (all of equal weight), with four cuttings in each
of five weekly studies. The increases in weight (in
grams) for each cutting along with the sample mean
and sample standard deviation of each group are
given in the table below.
Cutting Cutting Cutting Cutting
Standard
Week
Mean
D
A
B
Dev.
15 3.1623
24.5 5.2599
22 22.25 0.5000
13.25 1.7078
12 11.75 2.5000
1
19
13 | 16
12
27
29
25
17
3
22
22
23
13
15
11
14
9
15
11
(a) Determine the control limits for this study
LCL=
UCL=
(b) In your written work, construct the control chart of
this experiment.
(c) List the weekly values of i that out of control,
separated by commas. If all are in control, type
'NONE' (without the quotes):
4.
5.
Transcribed Image Text:An experiment is conducted to determine the time evolution of the mean increases in growth produced by growth hormones for plants. The experimental material consists of 20 cuttings of a shrub (all of equal weight), with four cuttings in each of five weekly studies. The increases in weight (in grams) for each cutting along with the sample mean and sample standard deviation of each group are given in the table below. Cutting Cutting Cutting Cutting Standard Week Mean D A B Dev. 15 3.1623 24.5 5.2599 22 22.25 0.5000 13.25 1.7078 12 11.75 2.5000 1 19 13 | 16 12 27 29 25 17 3 22 22 23 13 15 11 14 9 15 11 (a) Determine the control limits for this study LCL= UCL= (b) In your written work, construct the control chart of this experiment. (c) List the weekly values of i that out of control, separated by commas. If all are in control, type 'NONE' (without the quotes): 4. 5.
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