The Big Black Bird Company produces fiberglass camper tops. The process for producing the tops must be controlled so as to keep the number of dimples low. When the process was in​ control, the defects shown to the right were found in 10 randomly selected camper tops over an extended period of time.                                                        Top Dimples 1 7 2 8 3 12 4 9 5 4 6 14 7 7 8 3 9 6 10 8 a. Assuming 10 observations are adequate for this​ purpose, determine the three​-sigma control limits for dimples per camper top.   The UCLc equals nothing and theLCLc equals nothing. ​(Enter your responses rounded to two decimal places. If your answer for LCLc is​ negative, enter this value as 0.​)

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The Big Black Bird Company produces fiberglass camper tops. The process for producing the tops must be controlled so as to keep the number of dimples low. When the process was in​ control, the defects shown to the right were found in 10 randomly selected camper tops over an extended period of time.
                                                      
Top
Dimples
1
7
2
8
3
12
4
9
5
4
6
14
7
7
8
3
9
6
10
8
a. Assuming 10 observations are adequate for this​ purpose, determine the
three​-sigma
control limits for dimples per camper top.
 
The
UCLc
equals
nothing
and
theLCLc
equals
nothing.
​(Enter
your responses rounded to two decimal
places.
If your answer for
LCLc
is​ negative, enter this value as
0.​)
b. Suppose that the next camper top has
16
dimples. What can you say about the process​ now?
 
 
A.
The number of defects is
greater
than the upper control​ limit, so
it is assumed that the process is
in control.
 
B.
The number of defects is
greater
than the upper control​ limit, so
the process is not
in control.
 
C.
Since the number of defects is close to the upper control​ limit, the results are inconclusive.
 
D.
The number of defects is
less
than the upper control​ limit, so
it is assumed that the process is
in control.
 
E.
The number of defects is
less
than the upper control​ limit, so
the process is not
in control.
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