Question

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams while babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 385 grams. If a 33?-week gestation period baby weighs 2600 grams and a 40?-week gestation period baby weighs 2800 ?grams, find the corresponding? z-scores. Which baby weighs more relative to the gestation? period?

Answer 1

Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2500 grams and a standard deviation of 800 grams.

Babies born after a gestation period of 32 to 35 weeks have.

grams

grams

Babies born after a gestation period of 40 weeks have a mean weight of 2700 grams and a standard deviation of 385 grams.

Babies born after a gestation period of 40 weeks have,

grams

grams

To determine which baby weighs relatively more,,compute each baby's z-score.The population z-score can be found using the formula below:

For 33?-week gestation period baby,

X=2600 grams

Since the baby born 32 to 35 weeks, so mean = 2500 grams and standard deviation =800 grams

(Rounding to 2 decimal places)

For 40?-week gestation period baby,

X=2800 grams

Since the baby born after 40 weeks, so mean = 2700 grams and standard deviation =385 grams

(Rounding to 2 decimal places)

The second baby with 40-week gestation period weighs more relative to the gestation? period.