The following data represent the distribution of birth weights (in grams) for babies in which the pregnancy went full term (37 to 41 weeks).

Birth Weight (g) ....Number of Live Births

0–499 ........... 22

500–999 .......... 201

1000–1499 ........ 1,645

1500–1999 ........ 9,365

2000–2499 ........ 92,191

2500–2999 ........ 569,319

3000–3499 ........1,387,335

3500–3999 ........ 988,011

4000–4499 ........ 255,700

4500–4999 ........ 36,766

5000–5499 ........ 3,994

(a) Construct a relative frequency distribution for birth weight.

(b) Draw a relative frequency histogram for birth weight. Describe the shape of the distribution.
(c) Determine the mean and standard deviation birth weight.

(d) Use the normal model to determine the proportion of babies in each class.

(e) Compare the proportions predicted by the normal model to the relative frequencies found in part (a). Do you believe that the normal model is effective in describing the birth weights of babies?