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 2800 grams and a standard deviation of 900 grams while babies born after a gestation period of 40 weeks have a mean weight of 3100 grams and a standard deviation of 410 grams. If a 32 -week gestation period baby weighs 3300 grams and a 40 -week gestation period baby weighs 3600 grams, find the corresponding z-scores. Which baby weighs more relative to the gestation period? Find the corresponding z-scores. Which baby weighs relatively more ? 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 more since its z-score, nothing , is smaller than the z-score of nothing for the baby born in week 32 . B. The baby born in week 32 weighs relatively more since its z-score, nothing , is smaller than the z-score of nothing for the baby born in week 40 . C. The baby born in week 40 weighs relatively more since its z-score, nothing , is larger than the z-score of nothing for the baby born in week 32 . D. The baby born in week 32 weighs relatively more since its z-score, nothing , is larger than the z-score of nothing for the baby born in week 40 .

Explanation / Answer

Here the Z score of first baby who has a gestation period of 32 to 35 weeks has weight 3300 gms and belongs to have a mean weight of 2800 grams and a standard deviation of 900 grams

Z = (3300 - 2800)/900 = 5/9 = 0.5556

for second baby the

Z score = (3600 - 3100)/410 = 1.22

so here the correct option is Baby 2 has more relative weight than baby 1 as his Z - score is more than he other one.

Option C is correct here

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