The Dean of Instruction at a local college requested that a new standardized test for an introductory statistics course be developed with the requirement that it should have µ = 120 points and σ = 15. A class of 30 students complete the new test with a mean grade of 115. Conduct a hypothesis test at α = .05 to determine whether the claim that µ = 120 can be supported. Use the p-value approach and complete the following to show how this would be done.
1. State the null and alternative hypotheses in words and in statistical symbols.
2. What statistical test is appropriate to use? Explain the rationale for your answer.
3. What is the value of the test statistic and the p-value of that outcome?
4. Interpret the outcome in terms of the original claim.
5. What is unusual about this hypothesis test?
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