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

question 53

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 \(\mu = 495\)

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Definitions:

Monochlorination Products

Products resulting from the introduction of one chlorine atom into an organic molecule, typically achieved through a free radical chlorination reaction.

3,4-Dimethylhexane

A branched alkane with the formula C8H18, identified by its specific arrangement of methyl groups at the third and fourth carbon atoms.

Carbanion

A negatively charged ion (anion) that contains a carbon atom bearing three bonds and one lone pair of electrons, making it very reactive.

Reactive Intermediate

A short-lived species formed during the course of a chemical reaction which cannot be isolated under normal conditions.