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Answer:
The 33 week gestation period baby has a zscore of -0.47.
The 41 week gestation period baby has a zscore of -0.94.
The 41 week gestation period baby weighs less relative to the gestation period.
Step-by-step explanation:
Normal model problems can be solved by the zscore formula.
On a normaly distributed set with mean and standard deviation
, the z-score of a value X is given by:
The zscore represents how many standard deviations the value of X is above or below the mean . This means that the baby with the lowest Zscore is the one who weighs relatively less to the gestation period.
33 week gestation period baby:
Babies born after a gestation period of 32 to 35 weeks have a mean weight of 2700 grams and a standard deviation of 900 grams, so .
A 33-week gestation period baby weighs 2275 grams. So .
41 week gestation period baby:
Babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 450 grams, so
A 41-week gestation period baby weighs 2775 grams, so .
The 41 week gestation period baby weighs less relative to the gestation period, since he has a lower zscore.