56. The construction of the p chart described in this chapter requires specification of both UCL and LCL levels. Is the LCL meaningful in this context? In particular, what does it mean when an observed value of p is less than the LCL? If only the UCL is used to signal an out-of-control condition, should the calculation of the UCL be modified in any way? (Hint: The definition of the Type 1 error probability, a, will be different. The hypothesis test for determining if the process is in control is one-sided rather than two-sided.)

Practical Management Science
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Chapter2: Introduction To Spreadsheet Modeling
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56. The construction of the p chart described in this chapter requires specification of
both UCL and LCL levels. Is the LCL meaningful in this context? In particular, what
does it mean when an observed value of p is less than the LCL? If only the UCL is
used to signal an out-of-control condition, should the calculation of the UCL be
modified in any way? (Hint: The definition of the Type 1 error probability, a, will be
different. The hypothesis test for determining if the process is in control is one-sided
rather than two-sided.)
Transcribed Image Text:56. The construction of the p chart described in this chapter requires specification of both UCL and LCL levels. Is the LCL meaningful in this context? In particular, what does it mean when an observed value of p is less than the LCL? If only the UCL is used to signal an out-of-control condition, should the calculation of the UCL be modified in any way? (Hint: The definition of the Type 1 error probability, a, will be different. The hypothesis test for determining if the process is in control is one-sided rather than two-sided.)
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