Refer to given Exercise and the revised process. Is this process capable of meeting a goal value of $1.5M for the standard deviation of the weekly amount invested? Construct an appropriate chart and discuss.
Exercise
An investment bank is interested in monitoring the weekly amount (in millions of dollars) invested in volatile stocks so as to maintain a stable rate of return on a selected fund. Tableshows 25 consecutive weeks of the amount invested ($M) in the fund. Construct appropriate control charts and comment on the stability of investment.
Revise the chart, if necessary, assuming special causes for out-of-control points. What is your estimate of the standard deviation of the weekly amount invested?
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Table: Weekly investment in Volatile Stocks
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|
Week
|
Investment(SM)
|
Week
|
Investment(SM)
|
Week
|
Investment(SM)
|
|
1
|
16.2
|
10
|
12.9
|
19
|
16.3
|
|
2
|
10.8
|
11
|
28.5
|
20
|
14.2
|
|
3
|
18.9
|
12
|
23.3
|
21
|
21.5
|
|
4
|
14.4
|
13
|
20.2
|
22
|
18.6
|
|
5
|
15.7
|
14
|
19.3
|
23
|
20.9
|
|
6
|
25.3
|
15
|
14.8
|
24
|
22.4
|
|
7
|
20.4
|
16
|
18.7
|
25
|
21.8
|
|
8
|
22.6
|
17
|
20.4
|
|
|
|
9
|
17.8
|
18
|
21.2
|
|
|