Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. If the answer is in %, show two decimal places. Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document. 1. The average score of a statistics class was 71 with a standard deviation of 10. a. What is the z score of a student with a grade of 68? (2.5 pts) b. What is the z score of a student with a grade of 80? (2.5 pts) 2. Using the same data in #1 answer the following: a. Approximately 68% (one standard deviation) of the scores are between and (2.5 pts) b. Approximately 95% (two standard deviation) of the scores are between and (2.5 pts)