In a certain country, the mean birth weight for boys is 3.27 kg, with a standard deviation of 0.51 kg. Assuming that the distribution of birth weight is approximately normal, complete parts a through e below. a. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in this country are born with low birth weight?
The proportion of baby boys that are born with a low birth weight is nothing.
(Round to three decimal places as needed.)

0.066

Step-by-step explanation:

We solve this question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation

For the question

mean birth weight for boys is 3.27 kg, with a standard deviation of 0.51 kg.

x = 2.5

Hence:

z = 2.5 - 3.27/0.51

z = -1.5098

Probability value from Z-Table:

P(x ≤ 2.5) =P(x < 2.5) = P(x = 2.5) =

=0.065547

Therefore, the proportion of baby boys that are born with a low birth weight is 0.066

an advantage of the standard deviation is that it increases as the dispersion of the data increases. e. the interquartile range is preferred when the data are not skewed or no have outliers. an advantage of the standard deviation is that it uses all the observations in its computation.

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