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?

Question

Mathematics

Boston Stevens

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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Phoenix Arellano · Answer 1

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