Question

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 3000 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3500 grams and a standard deviation of 440 grams. If a 32-week gestation period baby weighs 2575 grams and a 40-week gestation period baby weighs 3075 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively less? Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.)

A. The baby born in week 40 weighs relatively less since its z-score, __, is larger than the z-score of __ for the baby born in week 32.

B. The baby born in week 32 weighs relatively less since its z-score, __, is smaller than the z-score of __ for the baby born in week 40.

C. The baby born in week 40 weighs relatively less since its z-score, __, is smaller than the z-score of __for the baby born in week 32.

D. The baby born in week 32 weighs relatively less since its z-score, __, is larger than the z-score of __for the baby born in week 40.

Answer #1

Solution :

Given that ,

mean = = 3000

standard deviation = = 900

x = 2575

Using z-score formula,

z = x - /

z = 2575 - 3000 / 900

z = -0.47 (32 week)

mean = = 3500

standard deviation = = 440

x = 3075

Using z-score formula,

z = x - /

z = 3075 - 3500 / 440

z = -0.97 (40 week)

C. The baby born in week 40 weighs relatively less since its z-score, -0.97, is smaller than the z-score of -0.47 for the baby born in week 32.

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ELABORATE EXPLANATIONS PLEASEE
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