Question

According to medscape.com, microcephaly is a head circumference more than two standard deviations below the mean. what percentage of 1-month old girls will be categorized as having microcephaly? how do you know?

Answer 1

Using the normal distribution, it is found that 2.28% of 1-month old girls will be categorized as having microcephaly.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

• The z-score measures how many standard deviations the measure is above or below the mean.

• Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The proportion more than two standard deviations below the mean is the p-value of Z = -2, given by 0.0228, hence 2.28% of 1-month old girls will be categorized as having microcephaly.

More can be learned about the normal distribution at brainly.com/question/4079902

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