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

Multiple Choice

In 1990, the average math SAT score for students at one school was 495. Five years later, a teacher wants to perform a hypothesis test to determine whether the average SAT score of students at the
School has changed from the 1990 mean of 495. The hypotheses are: $$\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 495 \\\mathrm { H } _ { \mathrm { a } } : \mu \neq 495\end{array}$$
Explain the meaning of a Type II error.

A) Concluding that $\mu \neq 495$ minutes when in fact $\mu = 495$
B) Failing to reject the hypothesis that $\mu = 495$ when in fact $\mu = 495$
C) Failing to reject the hypothesis that $\mu = 495$ when in fact $\mu \neq 495$
D) Concluding that $\mu > 495$ when in fact $\mu = 495$