Finding Normal Probabilities Worksheet With Answer Key Page 16
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19Part 3. The company president says this is giving away too much
powder and instructs that the machine setting be no higher than
32.3 ounces. To achieve the 2% rate of underweight boxes, the
standard deviation σ will have to be reduced. What value of σ
is needed to comply with both the company president’s and the
lawyers’ requirement?
Answer. We still have z =
2.05, but now we fix µ = 32.3. Solve
32
32.3
z =
=
2.05.
σ
0.3
We find σ =
= 0.1463.
2.05
16
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