Question

A & J College is doing a study on their policies. After randomly gathering data from a sample of 40 graduates, they put the raw data in a table and did not now how to proceed. They are asking for your statistical expertise to summarize the data. They need you to answer the following questions. Assume this is a random sample.

1. What is the population?
2. What variables are collected in this study?
   1. List the variables
   2. Classify each variable as qualitative(categorical) or quantitative(numerical)
   3. State whether the variable will be best studied as a mean or a proportion.
3. Find mean, median, mode/modal class, and standard deviation for all variables if possible. Discuss why/why not it is possible to find these measure(s).
4. Construct a contingency table for the regions by support service usage.
5. Find the probability
   1. someone uses support services
   2. someone uses support services given they are from region A.
   3. someone uses support services and they are from region A
   4. someone uses support services or they are from region A
6. It was found that 47.5% of students participate in support services.
   1. In a random sample of 10 students how many would you expect to participate in support services.
   2. In a random sample of 10 students what is the chance exactly 7 participate in support services.
   3. In a random sample of 10 students what is the chance at least 7 participate in support services.
   4. How many students would you expect to interview before a respondent reports participation in support services?
   5. The chance the first respondent to report use of support services is no later than the third respondent.
7. Using the data below
   1. Construct a discrete probability distribution of years attend
   2. Using the distribution table found in part (a) find the expected number of years attended
   3. Find the standard deviation of the distribution
   4. Compare answers in (b) and (c) to your responses in question number (3).
8. It has been found that the mean GPA and standard deviation of students who use supports services is 2.75 and 0.47 respectively. Assuming the GPA’s of students who use support services is approximately normal.
   1. Find the chance a student who use supports services is on the Dean’s List, 3.5 or better.
   2. In a random sample of 10 students who use supports services what is the chance at least 2 are on the Dean’s list.
   3. What GPA separates the top 10% from the bottom 90%?

Subject	Years Attend	Residential Region	Participated in Support Service Program
1	5	B	N
2	2	C	Y
3	6	B	Y
4	4	C	Y
5	2	C	N
6	5	A	Y
7	5	B	N
8	6	B	N
9	3	C	N
10	2	B	N
11	2	B	Y
12	2	B	Y
13	5	B	Y
14	4	A	Y
15	5	C	N
16	2	B	N
17	2	C	N
18	2	C	Y
19	5	A	Y
20	2	A	Y
21	2	B	N
22	6	B	N
23	6	A	N
24	4	A	Y
25	2	C	Y
26	4	B	N
27	4	A	Y
28	4	C	N
29	5	C	Y
30	2	A	N
31	3	B	Y
32	3	C	N
33	4	A	N
34	5	B	N
35	2	A	N
36	6	A	Y
37	3	A	N
38	3	B	Y
39	2	C	N
40	5	C	Y

Answer 1