Mr. Gonzalez gave a test to 43 students in his calculus class. He graded the test and found the mean to be 67 with a standard deviation of 8.4. After returning the exams, he realized that he had made a mistake on problem 1 1, so he gave all students 5 extra points on their test score. (6 pts.) (a) What is the new mean score for this test? (b) What is the new standard deviation for his test? The distribution of IQ scores of 12-year-olds is normal with a mean of 100 and a standard deviation of 16. The distribution of IQ scores for 20-year-olds is also unimodal and symmetric but with a mean of 120 and a standard deviation of 20. (a) Sketch the distribution of IQ score for 20-year-olds. Be sure to use the correct shape, center, and spread. [3 pts.] 20 40 60 80 100 120 140 160 180 200 IQ Scores (b) Jessica is a 12-year-old with an IQ of 132. Jessica's 20-year-old brother, Mark, has an 10 Relative to their respective age groups, who had the higher IQ score? Show all your work justify your answer with a complete sentence. [4 pts.) means in