Question

The length of newborn male babies at a local hospital has a mean of 23.1 inches and a standard deviation of 2.1 inches. The length of newborn female babies at that hospital has a mean of 21.3 inches and a standard deviation of 2.4 inches. Both of these sets of data are bell-shaped. If a male baby is 20.8 inches and a female baby is 18.9 inches, is the male or female relatively longer?

Answer 1

Male:

Z score normal distribution formula:

z = (20.8 - 23.1) / 2.1 = -1.10

P(Z < -1.10) = 0.1357

Female:

z = (18.9 - 21.3)/2.4 = -1.00

P(Z < -1) = 0.1587

After the comparision of the zscore and the probability of both male and female length , Female babies are relatively longer than the male babies.