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 430 grams. If a 35-week gestation period baby weighs 3250 grams and a 40​-week gestation period baby weighs 3550 ​grams, find the corresponding​ z-scores. Which baby weighs moremore relative to the gestation​ period?

Find the corresponding​ z-scores. Which baby weighs relatively moremore​? 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,___ , is larger than the​ z-score of _____ for the baby born in week 35.

B. The baby born in week 35 weighs relatively more 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 more since its​ z-score, _____, is smaller than the​ z-score of ______ for the baby born in week 35.

D. The baby born in week 35 weighs relatively more since its​ z-score, _____​, is larger than the​ z-score of _____ for the baby born in week

Answer 1

For 32 to 35 weeks:

= 2900

= 600

X = 3250

Z = (3250 - 2900)/600

= 0.5833

After 40 weeks:

= 3200

= 430

X = 3550

Z = (3550 - 3200)/430

= 0.8140

Correct option:

A. The baby born in week 40 weighs relatively more since its​ z-score 0.8140 , is larger than the​ z-score of 0.5833 for the baby born in week 35.