use the information given in the table on the right to complete each of the following statements. brenda is…

use the information given in the table on the right to complete each of the following statements. brenda is 50 inches tall. her z - score is 0.5. complete zach has a z - score of - 1.5. his height is 46 inches. complete approximately % of 7 - year - old children are taller than 51 inches. done

use the information given in the table on the right to complete each of the following statements. brenda is 50 inches tall. her z - score is 0.5. complete zach has a z - score of - 1.5. his height is 46 inches. complete approximately % of 7 - year - old children are taller than 51 inches. done

Answer

Answer:

16

Explanation:

Step1: Calcular el z - score de 51 pulgadas

$z=\frac{x - \mu}{\sigma}$, donde $x = 51$, $\mu=49$, $\sigma = 2$. Entonces $z=\frac{51 - 49}{2}=\frac{2}{2}=1$.

Step2: Usar la regla empírica

Según la regla empírica para una distribución normal, aproximadamente el 68% de los datos está dentro de $z=- 1$ y $z = 1$. Entonces el porcentaje de datos fuera de este rango es $100%-68% = 32%$. Y la mitad de estos datos (es decir, los datos con $z>1$) es $\frac{32%}{2}=16%$.