Maurice Tutor

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Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
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  • MCS,PHD
    Argosy University/ Phoniex University/
    Nov-2005 - Oct-2011

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  • Professor
    Phoniex University
    Oct-2001 - Nov-2016

Category > Management Posted 11 Feb 2018 My Price 9.00

thick- ness for the sample

8.22 The thickness (in millimeters) of the coating ap- plied to disk drives is one characteristic that determines the usefulness of the product. When no unusual circum- stances are present, the thickness (x) has a normal distri- bution with a mean of 2 mm and a standard deviation  of

0.05 mm. Suppose that the process will be monitored by selecting a random sample of 16 drives from each shift’s production and determining x, the mean coating thick- ness for the sample.

a.      Describe the sampling distribution of x (for a sample of size 16).

b.      When no unusual circumstances are present, we ex- pect  x to be within 3sx  of 2 mm, the desired value. An x value farther from 2 than 3sx  is interpreted as an  indication  of  a  problem  that  needs  attention. Compute  2 6 3sx.  (A  plot  over  time  of  x  values with horizontal lines drawn at the limits m 6 3sx  is called a process control chart.)

c.      Referring to Part (b), what is the probability that a sample mean will be outside 2 6 3sx  just by chance (that is, when there are no unusual circumstances)?

 

 

Bold exercises answered in back                      Data set available online                    Video Solution available

 

d.      Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 2.05 mm. What is the probability that a

problem  will  be  detected  when  the  next  sample  is taken?  (Hint:  This  will  occur  if  x . 2 1 3sx   or x , 2 2 3sx  when m = 2.05.)

 

Bold exercises answered in back                      Data set available online                    Video Solution available

 

Answers

Maurice Tutor
(5)
Status NEW Posted 11 Feb 2018 09:02 PM My Price 9.00

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