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Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 29002900 grams and a standard deviation of 800800 grams while babies born after a gestation period of 40 weeks have a mean weight of 32003200 grams and a standard deviation of 500500 grams. If a 3232​-week gestation period baby weighs 24002400 grams and a 4040​-week gestation period baby weighs 27002700 ​grams, find the corresponding​ z-scores. Which baby weighs lessless relative to the gestation​ period?

The 3232​-week gestation period baby weighs

nothing standard deviations

▼

above

below

the mean.

The 4040​-week gestation period baby weighs

nothing standard deviations

▼

above

below

the mean.

​(Round to two decimal places as​ needed.)

Verified Answer :

LammettHash

\(x_{32}=2400\implies z_{32}=\dfrac{2400-2900}{800}=-0.625\approx-0.63\)

\(x_{40}=2700\implies z_{40}=\dfrac{2700-3200}{500}=-1\)

So the 32g baby weighs about 0.63 standard deviations below the mean, while the 40g baby weighs 1 standard deviation below the mean.

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