study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 788 babies born in New York. The mean weight was 3102 grams with a standard deviation of 850 grams. Assume that birth weight data are approximately bell-shaped. (a) Estimate the number of newborns whose weight was less than 3952 grams. (b) Estimate the number of newborns whose weight was greater than 1402 grams. (c) Estimate the number of newborns whose weight was between 3102 and 4802 grams.

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A study conducted by the Center for Population Economics at the University of Chicago studied the birth weights of 788 babies born in New York. The mean weight was 3102 grams with a standard deviation of 850 grams. Assume that birth weight data are approximately bell-shaped.

(a) Estimate the number of newborns whose weight was less than 3952 grams.

(b) Estimate the number of newborns whose weight was greater than 1402 grams.

(c) Estimate the number of newborns whose weight was between 3102 and 4802 grams.

Expert Solution
Step 1
We have given that.
 
X~N( μ , ?^2 )
 
μ =3102 , ? =850 , n=788
 
Z-score =( x - μ )/?
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