select the correct answer. which sentence correctly describes a data set that follows a normal distribution…
select the correct answer. which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14? a. 68% of the data points lie between 10 and 14. b. 68% of the data points lie between 8 and 12. c. 68% of the data points lie between 10 and 18. d. 68% of the data points lie between 10 and 16.
Answer
Explanation:
Step1: Recuerda la regla empírica de la distribución normal
La regla empírica dice que aproximadamente el 68% de los datos en una distribución normal se encuentran dentro de 1 desviación estándar del promedio.
Step2: Calcula los límites
El promedio $\mu = 14$ y la desviación estándar $\sigma=4$. Los límites son $\mu-\sigma$ y $\mu + \sigma$. $\mu-\sigma=14 - 4=10$ $\mu+\sigma=14 + 4=18$
Answer:
C. 68% of the data points lie between 10 and 18.