In 1990, the average math SAT score for students at one school was 498. 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 498. A) $\mathrm { H } _ { 0 } : \mu = 498$ $\mathrm { H } _ { \mathrm { a } } : \mu 498$ D) $\mathrm { H } _ { 0 } : : \mu \geq 498$ $\mathrm { H } _ { \mathrm { a } } : \mu

Question

In 1990, the average math SAT score for students at one school was 498. 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 498.

A) $\mathrm { H } _ { 0 } : \mu = 498$
$\mathrm { H } _ { \mathrm { a } } : \mu < 498$

B) $\mathrm { H } _ { 0 } : \mu = 498$
$\mathrm { H } _ { \mathrm { a } } : \mu \neq 498$

C) $\mathrm { H } _ { 0 } : \mu = 498$
$\mathrm { H } _ { \mathrm { a } } : \mu > 498$

D) $\mathrm { H } _ { 0 } : : \mu \geq 498$
$\mathrm { H } _ { \mathrm { a } } : \mu < 498$

Quizplus · Accepted Answer

The teacher wants to test if the average math SAT score has changed, which means it could be either higher or lower than 498. Therefore, the alternative hypothesis should reflect a two-sided test, which is correctly represented in option B ($\mu \neq 498$).

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