Question

he average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, while the average 30- to 39-year old woman is 64.2 inches tall, with a standard deviation of 3.2 inches. Who is relatively taller based on their comparison to their gender, LeBron James at 81 inches or Candace Parker at 76 inches

Answer 1

Answer:

2. LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Given that ,

mean =$\mu$  = 69.5

standard deviation $=\sigma$  = 2.7

x = 81

Now use the formula of   z-score

$z = x - \frac{\mu}{\sigma}$

z =$81 - \frac{69.5}{2.7}$

z = 4.26  LeBron  

mean = $\mu$ = 64.2

standard deviation =$\sigma$  = 3.2

x = 76

Now use the formula of   z-score

$z = x - \frac{\mu}{\sigma}$

$z = 76 - \frac{64.2}{3.2}$

z = 3.69 Candace  

As it can be seen that the lebron is taller as he has more z-score as compared to the Candace