(See Solution) In 2010, the average SAT-Math score for students at one school was 495 . Five years later, a teacher wants to perform a hypothesis test to


Question: In 2010, the average SAT-Math 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-Math score of students at the school has increased from the 2006 mean. A random sample of 36 scores reveals that \(\bar{x}=501, \mathrm{~s}=11.2\)

  1. State the hull and alternative hypotheses.
  2. Determine the critical value of the \(t\) -test at significance level \(5 \%\)
  3. Determine the test statistic
  4. At 5% significance level, does the teacher have sufficient evidence that the average SAT—Math score of students at the school has increased from the 2006 mean?

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