Question

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

2700 grams and a standard deviation of 600 grams while babies born after a gestation period of 40 weeks have a mean weight of 3300 grams and a standard deviation of 455 grams. If a 33​-week gestation period baby weighs 3175 grams and a 41​-week gestation period baby weighs 3775 ​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

41

weighs relatively

more

since its​ z-score __

nothing​,

is

smaller

than the​ z-score of __

nothing

for the baby born in week

33.

B.The baby born in week

33

weighs relatively

more

since its​ z-score __

nothing​,

is

smaller

than the​ z-score of __

nothing

for the baby born in week

41.

C.The baby born in week

41

weighs relatively

more

since its​ z-score __

nothing​,

is

larger

than the​ z-score of __

nothing

for the baby born in week

33.

D.The baby born in week

33

weighs relatively

more

since its​ z-score __

nothing​,

is

larger

than the​ z-score of __

nothing

for the baby born in week

41.

Answer 1

Solution:- C) The baby born in week 41 weighs relatively more since its​ z-score 1.04 is larger than the​ z-score of 0.792 for the baby born in week 33.

Gestation period of 32 to 35 weeks

Mean = 2700, S.D = 600

x = 3175

By applying normal distribution:-

z = 0.792

After gestation period of 40 weeks

Mean = 3300, S.D = 455

x = 3775

By applying normal distribution:-

z = 1.04

C) The baby born in week 41 weighs relatively more since its​ z-score 1.04 is larger than the​ z-score of 0.792 for the baby born in week 33.