Low Birth Weight The University of Maryland Medical Center considers "low birth weights" to be those that are less than 5.5 lb or 2495 g. Birth weights are normally distributed with a mean of 3152.0 g and a standard deviation of 693.4 g (based on Data Set 4 "Births" in Appendix B).

a. If a birth weight is randomly selected, what is the probability that it is a "low birth weight"?

b. Find the weights considered to be significantly low, using the criterion of a birth weight having a probability of 0.05 or less.

c. Compare the results from parts (a) and (b).

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AlonsoDehner AlonsoDehner · Answer 1 · 2020-03-07T10:59:51+01:00

Answer:

Step-by-step explanation:

Given that low Birth Weight The University of Maryland Medical Center considers "low birth weights" to be those that are less than 5.5 lb or 2495 g

X - birth weight is N(3152, 693.4)( gms)

a) If a birth weight is randomly selected, what is the probability that it is a "low birth weight"?

= Prob (X<2495 gm)

= [tex]P(Z<\frac{2495-3152}{693.4} )\\= 0.1717[/tex]

b) Find the weights considered to be significantly low, using the criterion of a birth weight having a probability of 0.05 or less.

P(Z<z) = 0.05 when z=-1.645

Corresponding

X = [tex]3152-1.645(693.4)\\=2011.357[/tex]gms

ie. if birth weight is less than 2011.357 gms the weight is considered to be significantly low.

c) 2495 gms of low birth weights show a probability of 0.l717 which is not unusual

But below 2011 gms is a rare event.