Finding Normal Probabilities Worksheet With Answer Key Page 15
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19Part 2.
The company lawyers advise that 4.8% underweight
cartons is too many, and advise it should be no more than 2%.
To achieve this, what should the setting of the machine be?
Solution. Using the table, the z value associated with a 2% area
under the curve is z =
2.05.
Therefore, we have to solve for µ in the equation
32
µ
32
µ
z =
=
=
2.05.
σ
0.3
Hence
µ = 32 + 0.3
2.05 = 32.615.
The machine should be set to 32.62 ounces.
15
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