5-10 and 11

Final grades in Professor Albert's large calculus class are approximately normally distributed with a mean of 76 (%) and standard deviation of 8 (%).

5. Draw a sketch of this normal distribution and label at least three points on the horizontal axis. ________________________________________

6. In Professor Albert's course, students who earn less than a 60% in the class are assigned a failing grade (F). What proportion of the students earned F's? Report your answer with three decimal places. ________________________________________

7. In Professor Albert's course, students who earn above a 94% are assigned an "A". What proportion of students earned A's? Report your answer with three decimal places. ________________________________________

8. What proportion of students earn between an 82% and 88% in this class? Report your answer with three decimal places. ________________________________________ 9. What is the 25th percentile in this course? Report your answer with one decimal place. ________________________________________

10. The top 30% of students earned scores above what value? Report your answer with one decimal place. ________________________________________

11. Are all colors equally likely for Dark Chocolate M&M's? Data collected from a randomly selected bag of Dark Chocolate M&M's are provided.

Blue Brown Green Orange Red Yellow

77 74 57 81 62 84

Test, at the 5% level, if this sample provides evidence that not all colors are equally likely for Dark Chocolate M&M's. Include all details of the test. (Use the p-value approach Show 5 steps)

Step 1: (Hypotheses)

Step 2: (Standardized Test Statistic)

Step 3: (P-value)

Step4: (Decision)

Step 5: (Conclusion)