Suppose your statistics instructor gave six examinations during the semester. You received the following exam scores (percent correct): 82, 70, 88, 95, 92, and 74. Required: a. Compute the population mean. This is your average grade based on all of your grades. (Round your answer to 2 decimal places.) Population mean b. Compute the population standard deviation. (Round your answer to 2 decimal places.) Population standard deviation c. How many difference scores could be calculated if your instructor decided to random sample two of your exam scores? No of different samples d. List all possible samples of size 2 and compute the mean of each. (Round your answers to 1 decimal place.) Sample Values 1 2 3 Sum Mean Sample 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Values Sum e. Compute the mean of the sample means and the standard error of the sample means. (Round your answers to 2 decimal places.) Mean of the sample means Standard error of the sample means Mean f. Applying the central limit theorem, if the instructor randomly samples two of your exam scores to compute an average as your final course grade, what is the probability your final course grade will be less than 83.50? What is the probability that your final course grade will be more than 83.50? (Round your answers to 1 decimal places.) Final course grade will be more than 83.5 Final course grade will be less than 83.5 Probability