Assume that the length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean μ=266μ=266days and σ=16σ=16 days (in other words, X∼N(266,16)X∼N(266,16). Use a calculator or Excel to find the following values.   a. What pregnancy length is less than 50% of the other pregnancy lengths?   b. What length of pregnancy is shorter than 97.5% of all pregnancy lengths? Use 4 decimal places.   c.Between what two numbers do the middle 70% of all pregnancy lengths fall? Use 4 decimal places.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 16A: Spacers are manufactured to the mean dimension and tolerance shown in Figure 29-12. An inspector...
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Assume that the length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with a mean μ=266μ=266days and σ=16σ=16 days (in other words, X∼N(266,16)X∼N(266,16). Use a calculator or Excel to find the following values.

 

a. What pregnancy length is less than 50% of the other pregnancy lengths?

 

b. What length of pregnancy is shorter than 97.5% of all pregnancy lengths? Use 4 decimal places.

 

c.Between what two numbers do the middle 70% of all pregnancy lengths fall? Use 4 decimal places.

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