(Step-by-Step) In 2015 the mean reading proficiency rating for 8th grade students in Southwest Michigan was 26 . Officials at the state level want to know


Question: In 2015 the mean reading proficiency rating for 8th grade students in Southwest Michigan was 26 . Officials at the state level want to know whether the proficiency ratings have changed since 2015 .

- What hypotheses should be tested?

- If collected data finds \(\bar{x}=28.2\) and researchers know the proficiency ratings have \(\sigma=11.5\), should the test be done with the 1-Sample Z or 1-Sample t? Why?

- Officials conducted their test using \(\alpha=0.025\), and the p-value reported by Minitab was $0.012$. What should they decide about the hypotheses? What does this let them conclude?

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