Question

The following data set represents the final grades assigned in a statistics course. The grades are as followed, 60, 50, 85, 85, 85, 90, 100, 70, 83, 92, 68, 70, 88, 88, 85, 90, 20, 100, 90, 80, 77

1. Professor Williamson believes that the average grade she would assign would be an 85. Is she correct?

2. Determine an appropriate alpha level for the given data set and justify your reason

3. Create your null and alternate hypothesis

4. Perform a hypothesis test from the sample data

5. What is your t-value?

6. What is your critical T-value?

7. What is your estimated P-value or exact P-value?

8. Draw a normal curve of distribution that depicts your critical t-value, t-value and your P-value. Shade the graph where appropriate.

9. What is the general rule for all hypothesis testing when comparing p-values to alpha values?

10. Determine the conclusion of your data set using statistical language.

11. interpret your results of the data set based on the content of the question.

12. According to the Central limit theorem, the larger your sample size gets, something will happen to your data set. How does this affect hypothesis testing? Does this affect any type I or type II errors that could occur?

13. According to your results from this question, what conclusions can you make about the sample mean and Professor Williamson’s average?

Answer 1