Maurice Tutor

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Algebra,Applied Sciences See all
Algebra,Applied Sciences,Biology,Calculus,Chemistry,Economics,English,Essay writing,Geography,Geology,Health & Medical,Physics,Science Hide all
Teaching Since: May 2017
Last Sign in: 408 Weeks Ago
Questions Answered: 66690
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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 21 Nov 2017 My Price 7.00

shift’s production

Question 2:The thickness (mm) of the coating applied to disk drives is a characteristic that determines the usefulness of the product. When no unusual circumstances are present, the thicknessXhas a normal distribution with meanµ= 3 mm and standard deviations=.05 mm. Suppose that the coating process will be monitored by selecting a random sample of 16 drives from each shift’s production and determiningX ¯, the sample mean coating.

  1. (a) (3 marks). Describe the sampling distribution ofX ¯.

  2. (b) (1 mark). When no unusual circumstances are present, we expectX ¯to be within 3sX ¯of 3 mm, the desired coating thickness value. A value of X ¯farther from 3 than 3sX ¯is interpreted as an indication of a problem that needs attention. Compute 3±3sX ¯. (A plot over time of values of X ¯with horizontal lines drawn at the limitsµ±3sX ¯is called a process control chart.)

    1

(c) (2 marks). Referring to part (b), what is the probability thatX ¯will be outside 3±3sX ¯just by chance (that is, when there are no unusual circumstances)?

(d) (2 marks). Suppose that a machine used to apply the coating is out of adjustment, resulting in a mean coating thickness of 3.05 mm. What is the probability that a problem will be detected when the next sample is taken? (Hint:This will occur ifX ¯>3+3sX ¯orX ¯

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Maurice Tutor
(5)
Status NEW Posted 21 Nov 2017 05:11 PM My Price 7.00

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