The Dean of Instruction at a local college requested that a new standardized test for an...

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 = 100 and σ = 10. A class of 30 students complete the new test with a mean grade of 95. Conduct a hypothesis test at α = .05 to determine whether the claim that µ = 100 can be supported. Use the p-value approach and complete the following to show how this would be done.

State the null and alternative hypotheses in words and in statistical symbols.
What statistical test is appropriate to use? Explain the rationale for your answer.
What is the value of the test statistic and the p-value of that outcome?
Interpret the outcome in terms of the original claim.
What is unusual about this hypothesis test?

Expert Solution

The appropriate statistical test is - one sample Z test

Conclusion : There is sufficient evidence to conclude that mean grade in the new test is significantly different from 100.

orchestra answered 2 years ago

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