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

ID: 3301958 • Letter: S

Question

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2800 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a *standard deviation of 485 grams. If a 35- week gestation period baby weighs 2325 grams and a 40-week gestation period baby weighs 2625 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 35 weighs relatively less since its z-score, , is larger than the z-score of for the baby born in week 40. B. 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 35. 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 35.

Explanation / Answer

Z Score = (socore - mean); standard deviation

Zscore of baby born in 35 week = (2325-2800)/600 = -0.79

Zscore of baby born after 40 weeks = (2625 - 3100)/485 = -0.98

Answer

C. The baby born in week 40 weighs relatively less since the z score -0.98 is smaller than the z score of -0.79 for the baby born in week 35