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 490.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 490.The hypotheses are: $$\begin{array} { l } H _ { 0 } : \mu = 490 \\H _ { A } : \mu \neq 490\end{array}$$
Explain the result of a Type II error.

A) The teacher will conclude that the mean math SAT score at the school is the same when in fact it is the same.
B) The teacher will conclude that the mean math SAT score at the school has increased when in fact it is the same.
C) The teacher will conclude that the mean math SAT score at the school is different when in fact it is the same.
D) The teacher will conclude that the mean math SAT score at the school has decreased when in fact it is the same.
E) The teacher will conclude that the mean math SAT score at the school is the same when in fact it is different