Question

One answer.

Answer 1

Using z-scores, it is found that the correct option is:

c. Candace is relatively taller because she has a larger Z-score.

In a normal distribution with mean $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

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

• It measures how many standard deviations the measure is from the mean.  

• After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

For the z-score of Lebron's height, we have that: $X = 81, \mu = 78, \sigma = 2.7$, hence:

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

$Z = \frac{81 - 78}{2.7}$

$Z = 1.11$

For the z-score of Candace's height, we have that: $X = 76, \mu = 69, \sigma = 3.2$, hence:

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

$Z = \frac{76 - 69}{3.2}$

$Z = 2.19$

Due to the higher z-score, Candace is relatively taller, hence option c is correct.

A similar problem is given at brainly.com/question/12982818