Maurice Tutor

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    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 07 Feb 2018 My Price 6.00

importance of maintaining processes


To see the importance of maintaining processes in a state of statistical control when experiments are performed, consider the following. An industrial experiment is conducted with temperature set at two levels, 350 ◦F and 450 ◦F. Assume that no attempt at process control is made during the experiment and consequently there is a 3-sigma increase in the average conductivity from the original value of 13.2, due to some cause other than the change in temperature, and the increase occurs right when the temperature is changed. Assume that σ is known to be 4.5 and that 20 observations were made at each of the two temperature levels.

 

(a) What is the expected value of the appropriate test statistic for this scenario and the corresponding expected p-value?

(b) Answer these same two questions if the process went out of control, by the same amount, when the first 10 observations had been made at the second temperature. What argument do these two sets of numbers support?

Sol:

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Maurice Tutor
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Status NEW Posted 07 Feb 2018 11:02 PM My Price 6.00

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