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20 May, 10:34

A coffee machine can be adjusted to deliver any fixed number of ounces of coffee. if the machine has a standard deviation in delivery equal to 0.4 ounce, what should be the mean setting so that an 8-ounce cup will overflow only 0.5% of the time?

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  1. 20 May, 11:29
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    The mean will be calculates as follows; from the formula of z-score we shall have:

    z = (x-μ) / σ

    the z-score associated with 0.5% is 0

    thus

    0=

    (8-μ) / 0.4=0

    solving for x we get:

    μ=9

    Answer: μ=9
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