A friend of mine believes that the average GPA at KSU is equal to 3.0. In order to test whether he/she is right, I collect some information from the data. Specifically, I used 100 KSU students to form a sample and found that their sample average GPA is equal to 3.2. In addition, suppose that I also know the population standard deviation of GPA at KSU is 1.0. I decided to use 0.03 as the level of significance for my hypothesis testing. Could you help me with Q1-Q10 below?

1. What should be my null hypothesis? What should be my alternative hypothesis?

2. Is this a lower-tailed, upper-tailed or two-tailed case?

3. Show me how to calculate my test statistics.

4. If I use the critical value approach, explain how to derive my critical value(s).

5. If I use the p-value approach, explain how to derive my p-value.

6. If I use the confidence interval approach, show me how to derive the confidence interval.

7. How to make my decision, if I use the critical value approach?

8.How to make my decision, if I use the p-value approach?

9. How to make my decision, if I use the confidence interval approach?

10. Are the decisions in Q7, Q8, and Q9 the same?