In 1995, the Mean Math SAT Score for Students at One

question 24

Essay

In 1995, the mean math SAT score for students at one school was 488. A teacher introduces a new teaching method to prepare students for the SAT. One year later, he performs a hypothesis test to determine whether the mean math SAT score has increased. The hypotheses are

$\begin{array} { l } \mathrm { H } _ { 0 } : \mu = 488 \\ \mathrm { H } _ { \mathrm { a } } : \mu > 488 \end{array}$

If the null hypothesis is rejected at the 10% level of significance, do you think the teacher would feel confident that his teaching method works? What about if the null hypothesis is rejected at the 1% level of significance? Which of these two results would constitute stronger evidence that his teaching method works? Explain your thinking.

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