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4 February, 15:08

Defects in computer hard-drives will usually render the entire computer worthless. For a particular model, the percent defective in the past has been 1%. If a sample size of 400 is taken, what would the 95.5% lower control chart limit be?

A. 0.00995

B. 0.09550

C. 0.00000

D. 0.01000

E. 0.00005

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  1. 4 February, 16:47
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    E. 0.00005

    Explanation:

    Here Average Fraction defective, p = 1% = 0.01

    95.5% deviation means 2x

    x = sqrt{x * (1 - x) / n) }

    = sqrt{0.01 * (1 - 0.01) / 100}

    = 0.00995

    LCL = p - 2x

    = 0.01 - 0.00995

    = 0.00005

    Therefore, The 95.5% lower control chart limit be 0.00005
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