In 2014 , the Average Math SAT Score for Students $\begin{array} { l } H _ { 0 } : \mu = 472 \\H _ { A } : \mu \neq 472\end{array}$

question 17

Multiple Choice

In 2014 , the average math SAT score for students at one school was 472 . 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 2014 mean of 472 . The hypotheses are:
$\begin{array} { l } H _ { 0 } : \mu = 472 \\H _ { A } : \mu \neq 472\end{array}$
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

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