Bonus Question 1. (3 points) The analysis of a one-sided hypothesis test estimates a t-score of 1.983. a. (2 points) Given that the sample size is 64, what is the probability value that the data rejects the null hypothesis? Use Table D to find a range for p-values. b. (1 points) Based on your previous answer, what is the alpha level that you will reject the null hypothesis? Bonus Question 2. (3 points) The analysis of a two-sided hypothesis test estimates a t-score of 2.669. a. (2 points) Given that the sample size is 32, what is the probability value that the data rejects the null hypothesis? Use Table D to find a range for p-values. b. (1 points) Based on your previous answer, what is the alpha level that you will reject the null hypothesis? Bonus Question 3. (4 points) We want to compare the average midterm scores of Prof. Sparks and Prof. Basak. We take a sample of 20 students from Prof. Sparks' class and 13 students from Prof. Basak's class. The analysis estimates a t-score of 1.175. what is the probability that that there is a difference between the average midterm exam scores of two classes? Use Table D to find a range