In 1990, the average math SAT score for students at one school was 510. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1990 mean of 510. Formulate the null and alternative hypotheses for the study described. A) $\mathrm { H } _ { 0 } : \mu = 510$ $\mathrm { H } _ { \alpha } : \mu 510$ B) $\mathrm { H } _ { 0 } : \mu = 510$ $\mathrm { H } _ { \alpha } : \mu

Question

In 1990, the average math SAT score for students at one school was 510. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1990 mean of 510. Formulate the null and alternative hypotheses for the study described.

A) $\mathrm { H } _ { 0 } : \mu = 510$
$\mathrm { H } _ { \alpha } : \mu > 510$

B) $\mathrm { H } _ { 0 } : \mu = 510$
$\mathrm { H } _ { \alpha } : \mu < 510$

C) $\mathrm { H } _ { 0 } : \mu = 510$
$\mathrm { H } _ { \alpha } : \mu \neq 510$

D) $\mathrm { H } _ { 0 } : \mu \geq 510$
$\mathrm { H } _ { \alpha } : \mu < 510$

Quizplus · Accepted Answer

The null hypothesis ($H_0$) states that the average math SAT score has not changed, so $\mu = 510$. The alternative hypothesis ($H_\alpha$) should reflect that the score has changed, which means it could be either greater than or less than 510, so $\mu \neq 510$.

In 1990, the Average Math SAT Score for Students at One