Suppose babies born after a gestation period of 32 to 35 weeks have a mean weigh

Question

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2900 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3200 grams and a standard deviation of 450 grams. If a 34-week gestation period baby weighs 2450 grams and a 41-week gestation period baby weighs 2750 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?

The 34-week gestation period baby weighs (blank) standard deviations (blank) the mean ?

The 41-week gestation period baby weighs (blank) standard deviations (blank) the mean ?

Explanation / Answer

for 34 week baby:

corresponding z score =(X-mean)/std deviation=(2450-2900)/600=-0.75

for 41 week baby:

corresponding z score =(X-mean)/std deviation=(2750-3200)/450=-1

tehrefore The 34-week gestation period baby weighs 0.75   standard deviations below the mean

41-week gestation period baby weighs 1 standard deviations below the mean

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