Relationship between age and math skills

See attached file for format of tables.

Demographic information on incoming graduate students are in the table below. Faculty are wondering if there is a relationship between age and the math skills (high scores indicate higher skill levels) of these incoming students. What would you conclude?

Age Math Skills
23
25
30
29
28
25
26
26
38
40
45
38
42
30
27
29

34
40
38
30
20
40
38
47
26
24
27
37
24
42
59
40

a. What would you conclude about the relationship based on this data?

b. Create the appropriate graph to describe this relationship.

c. What Skill score would you predict for a person who is 35?

Dr. Volk is wondering if his Psyc 255 students' Math anxiety decreases over the course of the semester. He administers a standardized Anxiety measure to a random sample of all students enrolled in 255 at mid-term and again at the end of the semester. However, in looking at the scale, he realizes that the data does not reflect good interval level data. Does the data reflect a significant decrease in Math Anxiety? Analyze and graph.

Midterm End of term
56
79
68
58
58
61
71
53
64
68
61
47

50
74
66
60
50
40
52
48
65
60
52
38

An analysis of the combined SAT scores (Verbal + Math) of a sample of psychology majors at one school indicated that the mean was 939 and the standard deviation was 166. Show your calculations used the answer the following two questions.

a. A special psychology research program only accepts applicants who had an SAT score that placed them in the top 20% of the students. What is the minimum SAT score that would place them in the top 20%?

b. Special tutors are available to assist psychology students who had an SAT score in the bottom 10% of students. What SAT score cuts off the bottom 10% of this group of students?