the college board states that the average math sat score is 514 with a standard deviation of 117. colleen…

the college board states that the average math sat score is 514 with a standard deviation of 117. colleen gathered data from 50 students in her graduating class and found the average score to be 523. she thinks that her classs math sat score is different from the average. which of the following are the correct null hypothesis and alternate hypothesis?\n$h_0: mu = 514; h_a: mu>514$\n$h_0: mu\neq514; h_a: mu = 523$\n$h_0: mu = 514; h_a: mu\neq514$\n$h_0: mu = 514; h_a: mu = 523$

the college board states that the average math sat score is 514 with a standard deviation of 117. colleen gathered data from 50 students in her graduating class and found the average score to be 523. she thinks that her classs math sat score is different from the average. which of the following are the correct null hypothesis and alternate hypothesis?\n$h_0: mu = 514; h_a: mu>514$\n$h_0: mu\neq514; h_a: mu = 523$\n$h_0: mu = 514; h_a: mu\neq514$\n$h_0: mu = 514; h_a: mu = 523$

Answer

Explanation:

Step1: Definir hipótesis nula

La hipótesis nula $H_0$ es una afirmación de no - diferencia o de igualdad. Aquí, el valor de referencia para la puntuación media del SAT de matemáticas es 514, entonces $H_0:\mu = 514$.

Step2: Definir hipótesis alternativa

Colleen piensa que la puntuación media de su clase es diferente del promedio. La hipótesis alternativa $H_a$ para una diferencia no - dirigida (dos - colas) se escribe como $H_a:\mu\neq514$.

Answer:

$H_0:\mu = 514;H_a:\mu\neq514$