Discuss the below:
Q: Two students, colleagues at Southeastern University, have obtained the following GPA's for their first 11 courses:
|
Student/Course #
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
|
Ann
|
3.5
|
3.5
|
4.0
|
3.5
|
2.5
|
3.5
|
3.0
|
4.0
|
3.5
|
4.0
|
3.5
|
|
Bill
|
3.0
|
1.5
|
4.0
|
4.0
|
4.0
|
3.0
|
4.0
|
3.5
|
1.5
|
3.5
|
3.5
|
1 Determine the 5 number summary for the two distributions
2 Using the 5 number summary determined above, draw, on the same graph, the boxplot representations for the two distributions.
3 You are to choose the proper numerical summary description for each of the two distributions above. What do you choose, and why?
- The 5 number summary, or
- The mean and the standard deviation.
4. For Ann's courses GPA distribution, determine the standard deviation, s.
5. A medical researcher is testing the effectiveness of a new drug for treating Parkinson's disease. Ten subjects with the disease are given the new drug and 10 are given a placebo. Improvement in symptomology is measured. What would be the roles of descriptive and inferential statistics in the analysis of these data?
6. What are the advantages and disadvantages of graphical as opposed to numerical approaches to descriptive statistics