Statistics for the Social and Management Sciences

Statistics for the Social and Management Sciences

1. The following information is obtained from a person upon her transfer to a university:

a) Gender: Female
b) age: 20
c) GPA : 3.2
d) Potential study Major: Psychology
e) Number of credit hours taken: 30
f) Most desirable non-academic activity: dance

Classify each of the above responses as

i. Quantitative (If so, discrete or continuous)
ii. Qualitative (If so, ordered or unordered)

2. Create a Stem-and-Leaf display to summarize the following data, and comment on your resulting display.

11, 14, 9, 18, 22, 34, 21, 36, 38, 29, 32, 35, 41, 14, 53, 44, 50, 26, 38, 17

3. Consider the following data on the waiting times (in minutes) of a random sample of 30 customers who shopped at a local department store during the past week.

9.1 17.2 14.8 12.3 13.6
11.2 15.7 13.7 11.2 11.5
12.7 11.0 11.4 10.1 10.9
10.5 10.9 9.2 9.9 9.2
14.3 6.2 8.0 15.8 8.1
16.8 9.2 15.1 14.7 7.0

a) Using 5.5 – 7.4 as the first class, construct a frequency distribution of these data (keep the same interval or width of 1.9 for other classes).
b) Use the frequency distribution to draw a histogram for this data.
4. Following is the marks of 20 students on a Stat. Course:

41, 42, 28, 40, 30, 36, 37, 33, 40, 32, 35, 35, 34, 30, 37, 25, 26, 50, 48, 36.

a) Find the mean, median, standard deviation, and inter-quartile range for the above grades.

b) The initial marks are out of 50. Calculate the measures in part a if the grades are rescaled to be out of 100.

c) What do you conclude from your results in parts b and c?
5. A statistics teacher is wondering whether there is a relationship between the marks of students on the midterm and final exams. The marks are given below.

a) Create a scatter diagram of the two data sets, measuring the marks on the Final on the vertical axis.
b) Calculate the appropriate measure of association for these data, and comment about the relationship, if any.

Mark on
Final Mark on
Midterm
59.9 61.4
43.3 49.3
69.2 71.2
86.7 81.9
85.4 75.3
94.5 90.2
27.9 26.2
61 61.6
83.6 77.4
46.5 42.1
53.3 43.1
36.3 40.2
33.6 23.3
48.4 44.2
51.9 54.5
29 28.4
55.3 59.6
58.1 57.8
67.3 62.4
58.8 62
FOR YOUR ASSIGNMENTS TO BE DONE AT A CHEAPER PRICE PLACE THIS ORDER OR A SIMILAR ORDER WITH US NOW