# Question: The following data represent the distribution of birth weights in

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
0â€“499 ........... 22
500â€“999 .......... 201
1000â€“1499 ........ 1,645
1500â€“1999 ........ 9,365
2000â€“2499 ........ 92,191
2500â€“2999 ........ 569,319
3000â€“3499 ........ 1,387,335
3500â€“3999 ........ 988,011
4000â€“4499 ........ 255,700
4500â€“4999 ........ 36,766
5000â€“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?

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