# Question

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?

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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