1. Birth weights of babies in the United States can be modeled by a normal distribution with mean 3250 grams and standard deviation 550 grams. Those weighing less than 2500 grams are considered to be of low birth weight. (a) Sketch a normal distribution curve and shade in the region whose area corresponds to the probability that a baby will have a low birth weight (b) Based on this shaded region, using the Empirical Rule, make an educated guess as to the proportion of babies born with a low birth weight.

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The Normal Distribution on StatCrunch
1. Birth weights of babies in the United States can be modeled by a normal distribution with mean 3250
grams and standard deviation 550 grams. Those weighing less than 2500 grams are considered to be
of low birth weight.
(a) Sketch a normal distribution curve and shade in the region whose area corresponds to
the probability that a baby will have a low birth weight
(b) Based on this shaded region, using the Empirical Rule, make an educated guess as to the
proportion of babies born with a low birth weight.
You can use StatCrunch to find the proportion of observations below, above
or between a particular value in a normal model: Go to...
STAT E Calculators E Normal
{Note: Input known value cells, and leave the unknown value cell empty}
Transcribed Image Text:The Normal Distribution on StatCrunch 1. Birth weights of babies in the United States can be modeled by a normal distribution with mean 3250 grams and standard deviation 550 grams. Those weighing less than 2500 grams are considered to be of low birth weight. (a) Sketch a normal distribution curve and shade in the region whose area corresponds to the probability that a baby will have a low birth weight (b) Based on this shaded region, using the Empirical Rule, make an educated guess as to the proportion of babies born with a low birth weight. You can use StatCrunch to find the proportion of observations below, above or between a particular value in a normal model: Go to... STAT E Calculators E Normal {Note: Input known value cells, and leave the unknown value cell empty}
Options
Normal Calculator
Standard Between
68-95-99.7 ticks
f(x)
0.0006-
0.0004-
0.0002-
1500
2000
2500
3000
3500
4000
4500
5000
Mean: 3250
Std. Dev.: 550
P(XE2500
0.08634102
Compute
Transcribed Image Text:Options Normal Calculator Standard Between 68-95-99.7 ticks f(x) 0.0006- 0.0004- 0.0002- 1500 2000 2500 3000 3500 4000 4500 5000 Mean: 3250 Std. Dev.: 550 P(XE2500 0.08634102 Compute
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