Question

Suppose babies born after a gestation period of 32 to 35 weeks have a mean weight of 2,700 grams and a standard deviation of 900 grams, while babies born after a gestation period of 40 weeks have a mean weight of 3,000 grams and a standard deviation of 465 grams. If a 33-week gestation period baby weighs 2,225 grams and a 40-week gestation period baby weighs 2,525 grams, find the corresponding z-scores. Which baby weighs less relative to the gestation period?
a. The 33-week gestation period baby weighs _____ standard deviations _____ the mean.
b. The 40-week gestation period baby weighs _____ standard deviations _____the mean.
(Round to two decimal places as needed.)
c. Which baby weighs relatively less?
A. The baby born in week 40 does since its z-score is smaller.
B. The baby born in week 40 does since its z-score is larger.
C. The baby born in week 33 does since its z-score is larger.
D. The baby born in week 33 does since its z-score is smaller.

Answer 1

Answer:

the answers have been provided below

Step-by-step explanation:

Population z score is given as (x-μ)/sd For a 32 to 35 week gestation period

μ= 2700

Sd = 900grams

x = 2225

z = (2225-2700)/900

z = -0.527

For a 40 week gestation period.

μ = 3000

Sd = 465grams

x = 2525

z = (2525-3000)/465

Z = -1.022

In answer to the question:

a. The 33-week gestation period baby weighs 0.53 standard deviations below the mean.

b. The 40-week gestation period baby weighs 1.02 standard deviations below the mean.

c. -1.022 < -0.527. the 40 weeks gestation baby weighs less.

A. The baby born in week 40 does since its z-score is smaller.