The following data set represents the final grades assigned in astatistics 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 shewould assign would be an 85. Is she correct?

2. Determine an appropriate alpha level for the given data setand 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 yourcritical t-value, t-value and your P-value. Shade the graph whereappropriate.

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

10. Determine the conclusion of your data set using statisticallanguage.

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

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

13. According to your results from this question, whatconclusions can you make about the sample mean and ProfessorWilliamson’s average?